Thermoelasticity without energy dissipation
From MaRDI portal
Publication:1309789
DOI10.1007/BF00044969zbMath0784.73009MaRDI QIDQ1309789
Publication date: 4 January 1994
Published in: Journal of Elasticity (Search for Journal in Brave)
constitutive equationFourier lawpotential functionthermal wavesgeneral uniqueness theorementropy flux vectorlinearized theory of thermoelasticity
Related Items
Effects of two-temperature parameter and thermal nonlocal parameter on transient responses of a half-space subjected to ramp-type heating ⋮ Problem of p- and SV-waves reflection and transmission during two media under three thermoelastic theories and electromagnetic field with and without gravity ⋮ Eigenvalue approach to a magneto-thermoelastic problem in transversely isotropic hollow cylinder: comparison of three theories ⋮ Wave Propagation in a Homogeneous Transversely Isotropic Thermoelastic Solid Cylinder of Polygonal Cross-sections ⋮ General decay for a viscoelastic-type Timoshenko system with thermoelasticity of type III ⋮ A study of thermoelastic interactions in thin and long radiating rods under Moore-Gibson-Thompson theory of thermoelasticity ⋮ Laser-induced thermoelastic response in an isotropic medium having variable material moduli ⋮ A MGT thermoelastic problem with two relaxation parameters ⋮ Decay rate estimates for a new class of multidimensional nonlinear Bresse systems with time-dependent dissipations ⋮ Связанная нестационарная осесимметричная задача термоэлектроупругости для круглой пьезокерамической шарнирно закрепленной пластины;A coupled non-stationary axisymmetric problem of thermoelectroelasticity for a circular piezoceramic hinged plate ⋮ A higher-order porous thermoelastic problem with microtemperatures ⋮ Moore Gibson Thompson thermoelastic plates: comparisons ⋮ Well‐posed dual‐phase‐lag model of a thermoelastic dipolar body ⋮ On a theory of thermoelasticity without energy dissipation for solids with microtemperatures ⋮ An a priori error analysis of a type <scp>III</scp> thermoelastic problem with two porosities ⋮ A hierarchy of heat conduction laws ⋮ Decay estimate of the viscoelastic plate with type II heat conduction in the whole space ⋮ Numerical analysis of a Caginalp phase-field system in type III heat conduction ⋮ Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term ⋮ Pulsed excitation heating of semiconductor material and its thermomagnetic response on the basis of fourth-order MGT photothermal model ⋮ Mathematical modelling of laser-instigated magneto-thermo-mechanical interactions inside half-space ⋮ Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential ⋮ Global solvability and decay estimates for a type III thermo‐viscoelastic coupled system with infinite memory and boundary interaction feedback ⋮ On fundamental solution of Moore-Gibson-Thompson (MGT) thermoelasticity theory ⋮ Global existence and exponential stability of solutions for thermodiffusion equations of type III ⋮ Thermo-magnetic interaction in a viscoelastic micropolar medium by considering a higher-order two-phase-delay thermoelastic model ⋮ The thermoelastic vibration of nano-sized rotating beams with variable thermal properties under axial load via memory-dependent heat conduction ⋮ Analysis of the photo-thermal excitation in a semiconducting medium under the purview of DPL theory involving non-local effect ⋮ Energy decay for von Kármán-Gurtin-Pipkin system ⋮ Magneto-thermoelastic interactions in an unbounded orthotropic viscoelastic solid under the Hall current effect by the fourth-order Moore-Gibson-Thompson equation ⋮ Thermal shock-induced Moore-Gibson-Thompson generalized coupled thermoelasticity analysis based on the strain gradient Love-Bishop theory in a nanorod resonator ⋮ Stability analysis of type II thermo-porous-elastic system with local or global damping ⋮ Thermal stresses that depend on temperature gradients ⋮ Effects of magnetic field and thermal conductivity variance on thermal excitation developed by laser pulses and thermal shock ⋮ A comparison of the finite‐difference and finite‐volume methods for a numerical solution of a hyperbolic thermoelasticity problem utilizing the implicit and explicit schemes ⋮ Exponential stability of a laminated beam system with thermoelasticity of type III and distributed delay ⋮ Continuous dependence and convergence for Moore-Gibson-Thompson heat equation ⋮ Implementation of Legendre wavelet method for the size dependent bending analysis of nano beam resonator under nonlocal strain gradient theory ⋮ Asymptotic analysis of two thermoelastic plates with dissipative histories ⋮ Thermally stressed thermoelectric microbeam supported by Winkler foundation via the modified Moore–Gibson–Thompson thermoelasticity theory ⋮ Thermoelastic plane waves under the modified Green–Lindsay model with two‐temperature formulation ⋮ The effect of diffusion on micropolar thermoelastic medium under 3PHL model ⋮ Transient thermoelastic response of a size‐dependent nanobeam under the fractional order thermoelasticity ⋮ Dual‐phase‐lag heat conduction with microtemperatures ⋮ Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G‐N theory ⋮ Thomson effect and two‐temperature theory on a micropolar thermoelastic medium with voids under Green–Naghdi theory ⋮ Damped waves under nonlocal Euler-Bernoulli and extended Green-Naghdi II theories in radiating thermoelastic nanobeams ⋮ Thermoelastic response of laminated plates considering interfacial conditions and cracks based on peridynamics ⋮ Analysis of the magneto-thermoelastic vibrations of rotating Euler-Bernoulli nanobeams using the nonlocal elasticity model ⋮ A Fully Discrete Approximation of a New Two-Temperature Thermoelastic Model ⋮ Time decay of viscoelastic plates with type II heat conduction ⋮ On a Cahn-Hilliard system with source term and thermal memory ⋮ Vibrational analysis of transversely isotropic hollow cylinder based on fractional generalized thermoelastic diffusion models with nonlocal effects ⋮ On Linear Theory of Thermoelasticity for an Anisotropic Medium Under a Recent Exact Heat Conduction Model ⋮ An investigation on responses of thermoelastic interactions in a generalized thermoelasticity with memory-dependent derivatives inside a thick plate ⋮ Some basic theorems on a recent model of linear thermoelasticity for a homogeneous and isotropic medium ⋮ A domain of influence theorem for thermoelasticity without energy dissipation ⋮ Analysis of wave propagation in the presence of a continuous line heat source under heat transfer with memory dependent derivatives ⋮ Unnamed Item ⋮ Stabilisation of a thermo-elastic system under nonuniformly bounded disturbances in the boundary input ⋮ Exponential stabilization of the full von Kármán beam by a thermal effect and a frictional damping and distributed delay ⋮ Moore–Gibson–Thompson thermoelasticity ⋮ Thermoelastic analysis of a cracked orthotropic strip under heat conduction effect of crack interior ⋮ Reflection of coupled generalized temperature rate dependent thermoelastic waves on a half space ⋮ Study of harmonic plane waves in rotating thermoelastic media of type III ⋮ Boundary integral equation formulation for coupled thermoelasticity with three phase-lags ⋮ Generalized thermoelastic interaction in a functionally graded isotropic unbounded medium due to varying heat source with three-phase-lag effect ⋮ A two-dimensional problem of a mode I crack in a type III thermoelastic medium ⋮ A study of influence of diffusion inside a spherical shell under thermoelastic diffusion with relaxation times ⋮ Thermoelasticity of Moore–Gibson–Thompson type with history dependence in the temperature ⋮ On the Generalized Thermoelasticity Problem for an Infinite Fibre-Reinforced Thick Plate under Initial Stress ⋮ Fibre-Reinforced Generalized Anisotropic Thick Plate with Initial Stress under the Influence of Fractional Thermoelasticity Theory ⋮ A general stability result in a Timoshenko system with infinite memory: A new approach ⋮ Exponential stability in Mindlin’s Form II gradient thermoelasticity with microtemperatures of type III ⋮ Energy decay result in a Timoshenko-type system of thermoelasticity of type III with distributive delay ⋮ Effects of voids and rotation on P wave in a thermoelastic half-space under Green–Naghdi theory ⋮ Damping of end effects in a thermoelastic theory ⋮ Reflection coefficients and energy ratios in a micropolar thermoelastic medium without energy dissipation ⋮ Growth, decay and bifurcation of shock amplitudes under the type-II flux law ⋮ Boundary stabilization of memory type in thermoelasticity of type III ⋮ Thermo-diffusion of a thick circular plate via modified Green–Naghdi models ⋮ Thermopiezoelectricity without energy dissipation ⋮ Strain gradient theory of chiral Cosserat thermoelasticity without energy dissipation ⋮ Unnamed Item ⋮ Propagation of thermoelastic waves across an interface with consideration of couple stress and second sound ⋮ Stochastic thermoelastic interaction under a dual phase-lag model due to random temperature distribution at the boundary of a half-space ⋮ Unnamed Item ⋮ Asymptotic stability for a non-autonomous full von Kármán beam with thermo-viscoelastic damping ⋮ NUMERICAL RESOLUTION OF AN EXACT HEAT CONDUCTION MODEL WITH A DELAY TERM ⋮ Three-dimensional nonlocal thermoelasticity in orthotropic medium based on Eringen’s nonlocal elasticity ⋮ Fractional derivative heat transfer for rotating modified couple stress magneto-thermoelastic medium with two temperatures ⋮ On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity ⋮ Exact solution of a 2D problem of thermoelasticity without energy dissipation for an infinitely long cylinder ⋮ A two-dimensional generalized thermo-hydro-mechanical-coupled problem for a poroelastic half-space ⋮ Fundamental solution of steady oscillations in thermoelastic medium with voids ⋮ On the regularity and stability of three-phase-lag thermoelastic plate ⋮ Response of a semiconducting medium under photothermal theory due to moving load velocity ⋮ Computational model on magnetothermoelastic analysis of a rotating cylinder using finite difference method ⋮ Fractional thermo-viscoelasticity theory with and without energy dissipation ⋮ Memory response on magneto-thermoelastic vibrations on a viscoelastic micro-beam exposed to a laser pulse heat source ⋮ Nonlocal coupled photo-thermoelasticity analysis in a semiconducting micro/nano beam resonator subjected to plasma shock loading: a Green-Naghdi-based analytical solution ⋮ On the decay rates for thermoviscoelastic systems of type III ⋮ Magnetophotothermal interaction in a rotating solid cylinder of semiconductor silicone material with time dependent heat flow ⋮ Study of wave propagation in an infinite solid due to a line heat source under Moore-Gibson-Thompson thermoelasticity ⋮ Nonlocal thermoelastic analysis of a functionally graded material microbeam ⋮ Research on coupled thermo-hydro-mechanical dynamic response characteristics of saturated porous deep-sea sediments under vibration of mining vehicle ⋮ Reflection of three-dimensional plane waves at the free surface of a rotating triclinic half-space under the context of generalized thermoelasticity ⋮ A GN model based upon two-temperature generalized thermoelastic theory in an unbounded medium with a spherical cavity ⋮ Rayleigh waves in a nonlocal thermoelastic layer lying over a nonlocal thermoelastic half-space ⋮ Thermal shock problem for a fiber-reinforced anisotropic half-space placed in a magnetic field via G-N model ⋮ On vibrations in thermoelasticity without energy dissipation for micropolar bodies ⋮ A refined nonlocal thermoelasticity theory for the vibration of nanobeams induced by ramp-type heating ⋮ Generalized thermoelastic functionally graded orthotropic hollow sphere under thermal shock with three-phase-lag effect ⋮ Time-fractional thermoelasticity problem for a sphere subjected to the heat flux ⋮ Existence of longitudinal and transverse waves in anisotropic thermoelastic media ⋮ Study of a problem of functionally graded hollow disk under different thermoelasticity theories -- an analysis of phase-lag effects ⋮ Transient magneto-thermo-elasto-diffusive responses of rotating porous media without energy dissipation under thermal shock ⋮ Reflection and refraction of P-, SV- and thermal wave, at an initially stressed solid-liquid interface in generalized thermoelasticity ⋮ Bresse system in thermoelasticity of type III acting on shear force ⋮ Theories of thermal stresses based on space-time-fractional telegraph equations ⋮ Energy decay in a Timoshenko-type system of thermoelasticity of type III with different wave-propagation speeds ⋮ State-space approach to thermoelastic interactions in generalized thermoelasticity type III ⋮ On deformational and configurational poro-mechanics: dissipative versus non-dissipative modelling of two-phase solid/fluid mixtures ⋮ Reciprocal and variational principles in linear thermoelasticity without energy dissipation ⋮ Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses ⋮ Some solutions for a family of exact phase-lag heat conduction problems ⋮ On the harmonic vibrations in linear theory of thermoelasticity of type III ⋮ Propagation of waves in the transversely isotropic thermoelastic Green-Naghdi type II and type III medium ⋮ Variational principles for generalized thermodiffusion theory in pyroelectricity ⋮ On the representation of solutions for the theory of generalized thermoelasticity with three phase-lags ⋮ Regular global attractors of type III thermoelastic extensible beams ⋮ Transient disturbance in a three-dimensional thermo-elastic half-space under Green-Naghdi theory ⋮ On fractional order generalized thermoelasticity with micromodeling ⋮ Propagation of inhomogeneous waves in anisotropic piezo-thermoelastic media ⋮ On theory of generalized thermoelastic solids with voids and diffusion ⋮ Aspects of the nonlinear theory of type II thermoelastostatics ⋮ A generalization of the Caginalp phase-field system with Neumann boundary conditions ⋮ General energy decay in a Timoshenko-type system of thermoelasticity of type III with a viscoelastic damping ⋮ Time-fractional radial heat conduction in a cylinder and associated thermal stresses ⋮ Fractional order theory in thermoelastic solid with three-phase lag heat transfer ⋮ A GN model for thermoelastic interaction in a microscale beam subjected to a moving heat source ⋮ The Neumann boundary problem for axisymmetric fractional heat conduction equation in a solid with cylindrical hole and associated thermal stress ⋮ Effect of magneto-thermo-viscoelasticity in an unbounded body with a spherical cavity subjected to a harmonically varying temperature without energy dissipation ⋮ Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation ⋮ 2-D problem of a mode-I crack for a generalized thermoelasticity under Green-Naghdi theory ⋮ Generalized thermoelastic infinite transversely isotropic body with a cylindrical cavity due to moving heat source and harmonically varying heat ⋮ Thermoelastic plane waves for an elastic solid half-space under hydrostatic initial stress of type III ⋮ Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping ⋮ A virtual power format for thermomechanics ⋮ Dynamic response in two-dimensional transversely isotropic thick plate with spatially varying heat sources and body forces ⋮ A phase-field model based on a three-phase-lag heat conduction ⋮ Reciprocal and variational principles in micropolar thermoelasticity of type II ⋮ Magneto-thermoelastic plane wave at the interface of pre-stressed water-aluminum-epoxy composite using Green and Lindsay's model ⋮ On uniqueness and continuous dependence in type III thermoelasticity ⋮ Strongly damped wave equations with critical nonlinearities ⋮ Stability analysis of a thermo-elastic system of type II with boundary viscoelastic damping ⋮ Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion ⋮ Transient analysis of thermo-elastic waves in thick hollow cylinders using a stochastic hybrid numerical method, considering Gaussian mechanical properties ⋮ Application of a hybrid mesh-free method for shock-induced thermoelastic wave propagation analysis in a layered functionally graded thick hollow cylinder with nonlinear grading patterns ⋮ Nonlinear transient thermal stress analysis of thick-walled FGM cylinder with temperature-dependent material properties ⋮ Rayleigh waves in a thermoelastic solid half space using dual-phase-lag model ⋮ Thermoelastic response in a symmetric spherical shell ⋮ Propagation of harmonic plane waves under thermoelasticity with dual-phase-lags ⋮ Shocks and acceleration waves in modern continuum mechanics and in social systems ⋮ Vibration of FG nanobeams induced by sinusoidal pulse-heating via a nonlocal thermoelastic model ⋮ Plane harmonic waves in strongly elliptic thermoelastic materials with microtemperatures ⋮ Energy decay and global attractors for thermoviscoelastic systems ⋮ Effect of magnetic field and rotation on generalized thermo-microstretch. Elastic solid with Mode-I crack under the Green Naghdi theory ⋮ Parameters estimation for a new anomalous thermal diffusion model in layered media ⋮ Infinite speed behavior of two-temperature Green-Lindsay thermoelasticity theory under temperature-dependent thermal conductivity ⋮ Influence of gravity on generalized magneto-thermoelastic medium for three-phase-lag model ⋮ Well-posedness and stability results in a Timoshenko-type system of thermoelasticity of type III with delay ⋮ Spectrum and stability analysis for a transmission problem in thermoelasticity with a concentrated mass ⋮ Reflection at the free surface of piezoelectric thermo-microstretch viscoelastic medium without energy dissipation ⋮ Deformation of a rotating two-temperature generalized-magneto thermoelastic medium with internal heat source due to hydrostatic initial stress ⋮ The effect of a laser pulse and gravity field on a thermoelastic medium under Green-Naghdi theory ⋮ Global existence, asymptotic behavior and uniform attractors for non-autonomous thermoelastic systems ⋮ A mathematical model for three-phase-lag dipolar thermoelastic bodies ⋮ On the decay of solutions for porous-elastic systems with history ⋮ Uniqueness and reciprocity theorems in generalized linear micropolar thermoviscoelasticity ⋮ An electro-magneto-thermo-visco-elastic problem in an infinite medium with a cylindrical hole ⋮ Stresses exerted by a source of diffusion in a case of a non-parabolic diffusion equation ⋮ On the theory of heat for micromorphic bodies ⋮ Thermal shock problem in a homogeneous isotropic hollow cylinder with energy dissipation ⋮ Boundary integral equation formulation for the generalized micro-polar thermoviscoelasticity ⋮ Thermo-poroacoustic acceleration waves in elastic materials with voids without energy dissipation ⋮ Effects of phase lags on wave propagation in an infinite solid due to a continuous line heat source ⋮ Electromagneto-thermoelastic problem in a thick plate using Green and naghdi theory ⋮ Structural stability for a rigid body with thermal microstructure ⋮ Effects of thermal relaxation time on plane wave propagation under two-temperature thermoelasticity ⋮ Stabilization of the Timoshenko beam by thermal effect ⋮ On the propagation of second-sound in linear and nonlinear media: results from Green-Naghdi theory ⋮ A two-dimensional problem of a mode-I crack in a rotating fibre-reinforced isotropic thermoelastic medium under dual-phase-lag model ⋮ Variational integrators for the dynamics of thermo-elastic solids with finite speed thermal waves ⋮ Analysis of thermoelastic response in a functionally graded spherically isotropic hollow sphere based on Green-Lindsay theory ⋮ The effect of rotation on the propagation of waves in an incompressible transversely isotropic thermoelastic solid ⋮ On the analyticity of the MGT-viscoelastic plate with heat conduction ⋮ Nonlocal coupled thermoelastic wave propagation band structures of nano-scale phononic crystal beams based on GN theory with energy dissipation: an analytical solution ⋮ Exponential-stability and super-stability of a thermoelastic system of type II with boundary damping ⋮ Temperature dependence of the elastic modulus in three-dimensional generalized thermoelasticity with dual-phase-lag effects ⋮ For a statistical interpretation of Helmholtz' thermal displacement ⋮ Size-dependent damping of a nanobeam using nonlocal thermoelasticity: extension of Zener, Lifshitz, and Roukes' damping model ⋮ Generalized thermoelastic problem of an infinite body with a spherical cavity under dual-phase-lags ⋮ Generalized solutions of transient thermal shock problem with bounded boundaries ⋮ On Timoshenko-type systems with type III thermoelasticity: asymptotic behavior ⋮ Effects of three-phase-lag on two-temperature generalized thermoelasticity for infinite medium with spherical cavity ⋮ Reflection of generalized thermoelastic waves from isothermal and insulated boundaries of a half space ⋮ A study of generalized thermoelastic interactions in an unbounded medium with a spherical cavity ⋮ Thermo-viscoelastic transversely isotropic rotating hollow cylinder based on three-phase lag thermoelastic model and fractional Kelvin-Voigt type ⋮ A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation ⋮ Dynamical theoretical model and variational principles for coupled temperature-diffusion-mechanics ⋮ A unified generalized thermoelasticity solution for the transient thermal shock problem ⋮ Magneto-thermo-elastic response in a perfectly conducting medium with three-phase-lag effect ⋮ Shock-induced thermoelastic wave propagation analysis in a thick hollow cylinder without energy dissipation using mesh-free generalized finite difference (GFD) method ⋮ Thermo elastic waves with thermal relaxation in isotropic micropolar plate ⋮ Fractional order two-temperature thermoelasticity with finite wave speed ⋮ Thermal plane waves in unbounded non-local medium exposed to a moving heat source with a non-singular kernel and higher order time derivatives ⋮ Well-posedness and general decay for a porous-elastic system with microtemperatures effects and time-varying delay term ⋮ A discontinuity analysis of generalized thermoelasticity theory with memory-dependent derivatives ⋮ Thermoelastic interactions on temperature-rate-dependent two-temperature thermoelasticity in an infinite medium subjected to a line heat source ⋮ Eigenvalue approach in a three-dimensional generalized thermoelastic interactions with temperature-dependent material properties ⋮ Energy decay rate of transmission problem between thermoelasticity of type I and type II ⋮ Thermo-viscoelastic analysis of biological tissue during hyperthermia treatment ⋮ Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature ⋮ Space-time Galerkin methods for simulation of laser heating using the generalized nonlinear model ⋮ Time decay in dual-phase-lag thermoelasticity: critical case ⋮ An a priori error analysis of poro-thermoviscoelastic problems ⋮ A thermodynamic analysis of an enhanced theory of heat conduction model: extended influence of finite strain and heat flux ⋮ Reflection and transmission between thermoelastic and initially stressed fiber-reinforced thermoelastic half-spaces under dual-phase-lag model ⋮ Some qualitative results for a modification of the Green-Lindsay thermoelasticity ⋮ Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction ⋮ Thermoelastic interactions on hyperbolic two-temperature generalized thermoelasticity in an infinite medium with a cylindrical cavity ⋮ Generalized solution of the thermoelastic problem for the axisymmetric structure with temperature-dependent properties ⋮ Surface waves in porous nonlocal thermoelastic orthotropic medium ⋮ On the spatial behavior of thermal signals in generalized thermoelasticity with memory-dependent derivative ⋮ Thermoelastic damping analysis in microbeam resonators based on Moore-Gibson-Thompson generalized thermoelasticity theory ⋮ Vibration analysis of functionally graded thermoelastic nonlocal sphere with dual-phase-lag effect ⋮ Nonlinear heat wave propagation in a rigid thermal conductor ⋮ Analysis of a Moore-Gibson-Thompson thermoelastic problem ⋮ Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids ⋮ Time-fractional heat conduction in an infinite plane containing an external crack under heat flux loading ⋮ Numerical analysis of some dual-phase-lag models ⋮ A revised exposition of the Green-Naghdi theory of heat propagation ⋮ Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures ⋮ A time discontinuous Galerkin finite element method for generalized thermo-elastic wave analysis, considering non-Fourier effects ⋮ On the backward in time problem for the thermoelasticity with two temperatures ⋮ A generalized theory of thermoelasticity based on thermomass and its uniqueness theorem ⋮ Fractional thermoelasticity revisited with new definitions of fractional derivative ⋮ Thermal shock fracture associated with a unified fractional heat conduction ⋮ A type III thermoelastic problem with mixtures ⋮ Sliding mode control for a generalization of the Caginalp phase-field system ⋮ On some non-existence results in a semilinear theory of the dipolar thermoelastic bodies ⋮ Galerkin-type solution for the Moore-Gibson-Thompson thermoelasticity theory ⋮ Singular surfaces in long, thin radiating rods under Green and Naghdi's type II theory of thermoelasticity ⋮ Porous-elastic plates: Fourier versus type III ⋮ Exponential stability of a porous thermoelastic system with Gurtin-Pipkin thermal law ⋮ Fractional order thermo-viscoelastic theory of biological tissue with dual phase lag heat conduction model ⋮ Nonlocal dual-phase-lagging thermoelastic damping in rectangular and circular micro/nanoplate resonators ⋮ Spatial behaviour of solutions of the Moore-Gibson-Thompson equation ⋮ Effect of rotation in generalized thermoelastic solid under the influence of gravity with an overlying infinite thermoelastic fluid ⋮ Analysis of phase-lag effects on wave propagation in a thick plate under axisymmetric temperature distribution ⋮ Acoustic reflection from the boundary of anisotropic thermoviscoelastic solid with fluid ⋮ Investigation of a problem of an elastic half space subjected to stochastic temperature distribution at the boundary ⋮ On the time decay in phase-lag thermoelasticity with two temperatures ⋮ Fractional thermoelasticity problem for an infinite solid with a cylindrical hole under harmonic heat flux boundary condition ⋮ Propagation of waves at an interface between a transversely isotropic rotating thermoelastic solid half space and a fiber-reinforced magneto-thermoelastic rotating solid half space ⋮ Complete general solution for Lord-Shulman generalized thermoelastodynamics by using potential functions for transversely isotropic solids ⋮ Galerkin-type solution for the theory of strain and temperature rate-dependent thermoelasticity ⋮ Three-dimensional half-space problem within the framework of two-temperature thermo-viscoelasticity with three-phase-lag effects ⋮ Decomposition methods for coupled 3D equations of applied mathematics and continuum mechanics: partial survey, classification, new results, and generalizations ⋮ On the phase-lag Green-Naghdi thermoelasticity theories ⋮ Exponential decay in one-dimensional type II thermoviscoelasticity with voids ⋮ New insights on microscale transient thermoelastic responses for metals with electron-lattice coupling mechanism ⋮ Thermomechanical interactions in transversely isotropic magnetothermoelastic medium with vacuum and with and without energy dissipation with combined effects of rotation, vacuum and two temperatures ⋮ Investigation on effects of stochastic loading at the boundary under thermoelasticity with two relaxation parameters ⋮ Reflection and refraction of thermoelastic waves at an interface of two couple-stress solids based on Lord-Shulman thermoelastic theory ⋮ Analytical solution for nonlocal coupled thermoelasticity analysis in a heat-affected MEMS/NEMS beam resonator based on Green-Naghdi theory ⋮ Numerical inversion of the fractional derivative index and surface thermal flux for an anomalous heat conduction model in a multi-layer medium ⋮ Effect of phase-lags on Rayleigh wave propagation in initially stressed magneto-thermoelastic orthotropic medium ⋮ Thermal diffusion effects in a tunnel with a cylindrical lining and soil system under explosive loading ⋮ Nonlinear propagation of coupled first- and second-sound waves in thermoelastic solids ⋮ Exponential stability in three-dimensional type III thermo-porous-elasticity with microtemperatures ⋮ Reflection at the free surface of fiber-reinforced thermoelastic rotating medium with two-temperature and phase-lag ⋮ Analysis on plane waves through magneto-thermoelastic microstretch rotating medium with temperature dependent elastic properties ⋮ An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods ⋮ Decay rates for 1-d mixed type II and type III thermoelastic system with localized viscous damping ⋮ Effect of magnetic field on reflection of thermo-elastic waves from the boundary of a half-space using G-N model of type-II for different nature of the boundary surface ⋮ A new boundary element strategy for modeling and simulation of three-temperature nonlinear generalized micropolar-magneto-thermoelastic wave propagation problems in FGA structures ⋮ Modelling of a three dimensional thermoelastic half space with three phase lags using memory dependent derivative ⋮ On the effect of Thomson and initial stress in a thermo-porous elastic solid under G-N electromagnetic theory ⋮ Two-temperature generalized thermoviscoelasticity with fractional order strain subjected to moving heat source: state space approach ⋮ Influence of rotation and magnetic fields on a functionally graded thermoelastic solid subjected to a mechanical load ⋮ Reflection of a plane magneto-thermoelastic wave at the boundary of a solid half-space in presence of initial stress ⋮ Time-fractional heat conduction in a plane with two external half-infinite line slits under heat flux loading ⋮ On the regularity and stability of the dual-phase-lag equation ⋮ A uniform stability result for thermoelasticity of type III with boundary distributed delay ⋮ Polynomial decay rate of a thermoelastic Mindlin-Timoshenko plate model with Dirichlet boundary conditions ⋮ Phase-lag heat conduction: decay rates for limit problems and well-posedness ⋮ Gene-culture shock waves ⋮ Uniqueness and Growth of Solutions in Two-Temperature Generalized Thermoelastic Theories ⋮ Variational time integrators for finite-dimensional thermo-elasto-dynamics without heat conduction ⋮ Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type ⋮ Reflection of P waves in porous thermoelastic medium with three-phase-lag model ⋮ Study of an isotropic slab in context of memory-dependent derivative due to heat source ⋮ Investigation of thermal excitation induced by laser pulses and thermal shock in the half space medium with variable thermal conductivity ⋮ Photothermal plasma wave in the theory of two-temperature with multi-phase-lag thermo-elasticity in the presence of magnetic field in a semiconductor with diffusion ⋮ Magneto-thermoelastic interactions in a rotating functionally graded half-space with microtemperatures ⋮ An advanced model of thermoelasticity with higher-order memory-dependent derivatives and dual time-delay factors ⋮ Thermoelastic wave characteristics in a hollow cylinder using the modified wave finite element method ⋮ A thermoelastic diffusion interaction in an infinitely long annular cylinder ⋮ Hölder stability in type III thermoelastodynamics ⋮ A stability result for the vibrations given by the standard linear model with thermoelasticity of type III ⋮ Two-temperature Green and Naghdi model on thermoelastc interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole ⋮ О сильных и слабых разрывах связанного термомеханического поля в термоупругих микрополярных континуумах второго типа ⋮ Some well-posedness and general stability results in Timoshenko systems with infinite memory and distributed time delay ⋮ Unnamed Item ⋮ One-dimensional problem of a fractional order two-temperature generalized thermo-piezoelasticity ⋮ On the theory of two-temperature thermoelasticity without energy dissipation of Green–Naghdi model ⋮ Stochastic thermal shock problem and study of wave propagation in the theory of generalized thermoelastic diffusion ⋮ Three-Dimensional Thermoelastic Problem Under Two-Temperature Theory ⋮ Continuum mechanical modeling of laser-pulsed heating in polycrystals: A multi-physics problem of coupling diffusion, mechanics, and thermal waves ⋮ Fractional order generalized thermoelasticity in an infinite elastic solid with an instantaneous heat sources ⋮ An investigation on two temperature dual-phase-lag model of thermoelasticity under fuzzy environment ⋮ Dispersion and attenuation of first and second sound waves under four models of Green-Naghdi generalized thermo-elasticity ⋮ Magneto-thermoelastic interaction in a functionally graded medium under gravitational field ⋮ Three-dimensional vibration analysis of porous cylindrical panel with a three-phase-lag model ⋮ Thermo-viscoelastic interaction under dual-phase-lag model with memory-dependent derivative ⋮ Analysis of harmonic plane wave propagation predicted by strain and temperature-rate-dependent thermoelastic model ⋮ A theory of thermoelasticity with diffusion under Green-Naghdi models ⋮ Jordan-Cattaneo waves: analogues of compressible flow ⋮ Exponential stability of a Timoshenko type thermoelastic system with Gurtin-Pipkin thermal law and frictional damping ⋮ A domain of influence theorem for a natural stress-heat-flux problem in the Moore-Gibson-Thompson thermoelasticity theory ⋮ Surface waves in piezothermoelastic transversely isotropic layer lying over piezothermoelastic transversely isotropic half-space ⋮ Reflection of thermoelastic waves from the isothermal boundary of a solid half-space under memory-dependent heat transfer ⋮ Generalized electro–magneto-thermoelasticity with two-temperature and internal heat source in a finite conducting medium under three theories ⋮ Investigation of a half-space heated by laser pulses based on the generalized thermoelastic theory with variable thermal material properties ⋮ Computational analysis on the influence of damping in solid body deformation during thermoelastic mass diffusion ⋮ Magneto-thermoelastic excitation induced by a thermal shock: a study under the purview of three phase lag theory ⋮ Refined dual-phase-lag Green–Naghdi models for thermoelastic diffusion in an infinite medium ⋮ Spatial decay in transient heat conduction for general elongated regions ⋮ Electro–magneto interaction in fractional Green-Naghdi thermoelastic solid with a cylindrical cavity ⋮ Study of a generalized thermoelastic diffusion bi-layered structures with variable thermal conductivity and mass diffusivity ⋮ Fractional Green–Naghdi theory for thermoelectric MHD ⋮ Eigenfunction expansion method to characterize Rayleigh wave propagation in orthotropic medium with phase lags ⋮ A generalized thermoelastic problem with nonlocal effect and memory-dependent derivative when subjected to a moving heat source ⋮ Gevrey semigroup of the type III localized thermoelastic model ⋮ Thermomechanical interactions of rotating thermoelastic magneto-microelongated medium heated by laser and initially stressed via non-local elasticity and GN III ⋮ The effect of two-temperature on thermoelastic medium with diffusion due to three phase-lag model ⋮ On the impossibility of localization in linear thermoelasticity ⋮ Unnamed Item ⋮ On the decay of a porous thermoelasticity type III with constant delay ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dynamic crack analysis in anisotropic media under wave-like thermal loading ⋮ A generalized thermoelastic diffusion theory of porous materials considering strain, thermal and diffusion relaxation, and its application in the ultrashort pulse laser heating ⋮ Thermoelastic Vibration of an Axially Moving Microbeam Subjected to Sinusoidal Pulse Heating ⋮ Exact Solution of Thermoelastic Damping and Frequency Shifts in a Nano-Beam Resonator ⋮ Unnamed Item ⋮ On the spatial behavior in type III thermoelastodynamics ⋮ On the stability of Timoshenko systems with Gurtin-Pipkin thermal law ⋮ Canonical formulation and conservation laws of thermoelasticity without dissipation ⋮ Thermoelastic interaction with energy dissipation in a transversely isotropic thin circular disc ⋮ Investigation of harmonic plane waves: detailed analysis of recent thermoplastic model with single delay term ⋮ Exponential stabilization of thermoelastic system of type II with non-uniform bounded disturbance ⋮ A note on stability in three-phase-lag heat conduction ⋮ A numerical solution of magneto-thermoelastic problem in non-homogeneous isotropic cylinder by the finite-difference method ⋮ A two dimensional thermoviscoelastic problem due to instantaneous point heat source ⋮ On the exponential decay in thermoelasticity without energy dissipation and of type III in the presence of an absorbing boundary ⋮ Global existence for the three-dimensional thermoelastic equations of Type II ⋮ Thermo-elastic interactions in an infinite elastic solid due to distributed time-dependent heat sources in generalized thermo-elasticity III ⋮ Fundamental solutions to three-dimensional diffusion-wave equation and associated diffusive stresses ⋮ Interactions due to body forces in generalized thermo-elasticity III ⋮ On energy and entropy influxes in the Green–Naghdi Type III theory of heat conduction ⋮ The effect of rotation on the reflection of magneto-thermoelastic waves under thermoelasticity without energy dissipation ⋮ Radially symmetric thermo-elastic wave propagation without energy dissipation in an infinitely extended thin plate with a circular hole ⋮ On the boundary control of thermoviscoelastic systems of type III ⋮ Effect of rotation on a fiber-reinforced thermo-elastic [half-space under Green-Naghdi theory and influence of gravity] ⋮ 2D problem of magneto-thermoelasticity fiber-reinforced medium under temperature-dependent properties with three-phase-lag model ⋮ An analytical mechanics approach to the first law of thermodynamics and construction of a variational hierarchy ⋮ Unnamed Item ⋮ On the possibility of locating in time of solutions for thermoelastic porous dipolar bodies ⋮ Magneto-thermoelastic response in a functionally graded rotating medium due to a periodically varying heat source ⋮ Волновые числа термоупругих волн в волноводе с теплообменом на боковой стенке ⋮ Stability in locally degenerate dual-phase-lag heat conduction ⋮ Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo‐elasticity ⋮ Strong stabilization of models incorporating the thermoelastic Reissner–Mindlin plate equations with second sound ⋮ Some generalizations of the Caginalp phase-field system ⋮ EFFECTS OF PHASE-LAGS AND VARIABLE THERMAL CONDUCTIVITY IN A THERMOVISCOELASTIC SOLID WITH A CYLINDRICAL CAVITY ⋮ A domain of influence theorem under MGT thermoelasticity theory ⋮ On fractional thermoelasticity ⋮ Variational and reciprocal principles in linear theory of type-III thermoelasticity ⋮ Fractional thermoelasticity problem for an infinite solid with a penny-shaped crack under prescribed heat flux across its surfaces ⋮ Unnamed Item ⋮ Generalized Thermoelasticity for an Isotropic Solid Sphere Indual-Phase-Lag of Heat Transfer with Surface Heat Flux ⋮ Fundamental Solutions to the Central Symmetric Space-Time Fractional Heat Conduction Equation and Associated Thermal Stresses ⋮ TWO-DIMENSIONAL COUPLED SOLUTION FOR THERMOELASTIC BEAMS VIA GENERALIZED DUAL-PHASE-LAGS MODEL ⋮ Global existence, asymptotic stability, and uniform attractors for non-autonomous thermoelastic systems with constant time delay ⋮ FRACTIONAL ORDER THERMOELASTICITY FOR PIEZOELECTRIC MATERIALS ⋮ Exponential stability of serially connected thermoelastic system of type II with nodal damping ⋮ Interactions due to Hall current and photothermal effect in a magneto-thermoelastic medium with diffusion and gravity ⋮ Dynamic response of a piezoelectric quasicrystal rod with the generalized thermoelasticity ⋮ Dynamic response of imperfect interfaces on the reflection and transmission of the waves in context of generalised thermo-elasticity ⋮ Effect of Thomson and thermal loading due to laser pulse in a magneto‐thermo‐elastic porous medium with energy dissipation ⋮ A second gradient theory of thermoelasticity ⋮ Waves in nonlocal thermoelastic solids of type III ⋮ Memory response in a two‐dimensional transversely isotropic thick plate with varying heat source ⋮ Thermo‐viscoelastic behavior in an infinitely thin orthotropic hollow cylinder with variable properties under the non‐Fourier MGT thermoelastic model ⋮ Thermal effects and initial stress on magneto‐thermo‐viscoelastic medium with two temperature under five theories ⋮ Plane waves in nonlocal generalized thermoelasticity ⋮ Effect of gravity and initial stress on a nonlocal thermo‐viscoelastic medium with two‐temperature and fractional derivative heat transfer ⋮ Generalized Moore‐Gibson‐Thompson thermoelastic fractional derivative model without singular kernels for an infinite orthotropic thermoelastic body with temperature‐dependent properties ⋮ Energy decay analysis for porous elastic system with thermoelasticity of type III: a second spectrum approach ⋮ A type III porous-thermo-elastic problem with quasi-static microvoids ⋮ On existence and numerical approximation in phase-lag thermoelasticity with two temperatures ⋮ The effect of diffusion on propagation and reflection of waves in a thermo-microstretch solid half-space ⋮ A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations ⋮ A novel generalized thermoelasticity model based on memory-dependent derivative ⋮ Uniqueness and exponential instability in a new two-temperature thermoelastic theory ⋮ A stochastic half-space problem in the theory of generalized thermoelastic diffusion including heat source ⋮ Generalized magneto-thermoelasticity with two temperature and initial stress under Green-Naghdi theory ⋮ An investigation on a two-dimensional problem of Mode-I crack in a thermoelastic medium ⋮ Noninteger derivative order analysis on plane wave reflection from electro-magneto-thermo-microstretch medium with a gravity field within the three-phase lag model ⋮ Solution of a two dimensional thermoelastic problem due to an exponentially distributed temperature at the boundary in presence of a moving heat source ⋮ Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating ⋮ The thermoelastic material-momentum equation ⋮ A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation ⋮ Time-fractional diffusion with mass absorption under harmonic impact ⋮ Reflection of plane waves in generalized thermoelastic half space under the action of uniform magnetic field ⋮ Dispersion relations for the hyperbolic thermal conductivity, thermoelasticity and thermoviscoelasticity ⋮ The effect of a dipolar structure on the Hölder stability in Green-Naghdi thermoelasticity ⋮ Thermodynamic potential of free energy for thermo-elastic-plastic body ⋮ Dual and mixed nonsymmetric stress-based variational formulations for coupled thermoelastodynamics with second sound effect ⋮ Coupled thermoelastic analysis of an FG multilayer graphene platelets-reinforced nanocomposite cylinder using meshless GFD method: a modified micromechanical model ⋮ Quick and robust meshless analysis of cracked body with coupled generalized hyperbolic thermo-elasticity formulation ⋮ Problem of axisymmetric plane strain of generalized thermoelastic materials with variable thermal properties ⋮ A bending theory of thermoelastic diffusion plates based on Green-Naghdi theory ⋮ Exponential stability to localized type III thermoelasticity ⋮ A three-dimensional thermoelastic problem for a half-space without energy dissipation ⋮ Fractional order generalized electro-magneto-thermo-elasticity ⋮ On thermodynamic functions in thermoelasticity without energy dissipation ⋮ Fractional-order generalized thermoelastic diffusion theory ⋮ General decay of solutions to a one-dimensional thermoelastic beam with variable coefficients ⋮ Uniqueness and existence theorems in thermoelasticity with voids without energy dissipation ⋮ One-dimensional waves in a thermoelastic half-space without energy dissipation ⋮ Investigation on the effects of temperature dependency of material parameters on a thermoelastic loading problem ⋮ Magneto-thermoelastic problem in rotating non-homogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model ⋮ General boundary stabilization of memory type in thermoelasticity of type III ⋮ Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation ⋮ Rayleigh waves in isotropic strongly elliptic thermoelastic materials with microtemperatures ⋮ Meshless local Petrov-Galerkin method for coupled thermoelasticity analysis of a functionally graded thick hollow cylinder ⋮ A porous thermoelastic diffusion theory of types II and III ⋮ On the stability in phase-lag heat conduction with two temperatures ⋮ Magneto-thermoelasticity for an infinite body with a spherical cavity and variable material properties without energy dissipation ⋮ Transient analysis of a functionally graded ceramic/metal layer considering Lord-Shulman theory ⋮ Axisymmetric free vibrations of infinite micropolar thermoelastic plate ⋮ Exponential decay in one-dimensional type III thermoelasticity with voids ⋮ Reflection of plane waves from the stress-free isothermal and insulated boundaries of a nonlocal thermoelastic solid ⋮ Energy decay in a Timoshenko-type system of thermoelasticity of type III ⋮ A two-dimensional problem for a transversely isotropic generalized thermoelastic thick plate with spatially varying heat source ⋮ Exponential stability in type III thermoelasticity with microtemperatures ⋮ Application of a hybrid meshless technique for natural frequencies analysis in functionally graded thick hollow cylinder subjected to suddenly thermal loading ⋮ On the existence and uniqueness in phase-lag thermoelasticity ⋮ Spatial behavior for some non-standard problems in linear thermoelasticity without energy dissipation ⋮ Different thermodynamic theories and different heat conduction laws ⋮ Generalized thermo-visco-elastic problem of a spherical shell with three-phase-lag effect ⋮ Bending analysis of functionally graded plates in the context of different theories of thermoelasticity ⋮ State space approach to thermoelastic problem with three-phase-lag model ⋮ Time-harmonic sources in a generalized magneto-thermo-viscoelastic continuum with and without energy dissipation ⋮ Two-temperature Green-Naghdi theory of type III in linear thermoviscoelastic anisotropic solid ⋮ On the phase-lag heat equation with spatial dependent lags ⋮ Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry ⋮ Spatial stability for the quasi-static problem of thermoelasticity ⋮ A Caginalp phase-field system with a nonlinear coupling ⋮ Boundary stabilization of a thermoelastic diffusion system of type II. ⋮ Asymptotic stability of porous-elastic system with thermoelasticity of type III ⋮ Timoshenko system with fractional operator in the memory and spatial fractional thermal effect ⋮ Thermo-elastodynamic response of a spherical cavity in saturated poroelastic medium ⋮ On the porous-elastic system with thermoelasticity of type III and distributed delay: well-posedness and stability ⋮ Relaxation effects on thermoelastic interactions for time-dependent moving heat source under a recent model of thermoelasticity ⋮ Numerical analysis of a dual-phase-lag model with microtemperatures ⋮ A modified Green-Lindsay thermoelasticity with strain rate to eliminate the discontinuity ⋮ Surface waves in a viscoelastic liquid half-space under initial stress in presence of thermal and magnetic field ⋮ Variational principle and time-space finite element method for dynamic thermoelasticity based on mixed convolved action ⋮ Decay of quasi-static porous-thermo-elastic waves ⋮ Rotational and voids effect on the reflection of \textit{P} waves from stress-free surface of an elastic half-space under magnetic field and initial stress without energy dissipation ⋮ Reflection and refraction of plane waves at the interface of two visco-thermoelastic liquid layers in presence of magnetic field and compressional stress, with the outer core inside the Earth as a model ⋮ Generalized thermoviscoelastic interaction due to periodically varying heat source with three-phase-lag effect ⋮ Nonlocal thermoelasticity and its application in thermoelastic problem with temperature-dependent thermal conductivity ⋮ Analysis of plane wave propagation under the purview of three phase lag theory of thermoelasticity with non-local effect ⋮ Time-fractional heat conduction in a half-line domain due to boundary value of temperature varying harmonically in time ⋮ A new approach to MGT-thermoviscoelasticity ⋮ Fractional order theory of Cattaneo-type thermoelasticity using new fractional derivatives ⋮ Existence and energy decay of a Bresse system with thermoelasticity of type III ⋮ Magneto-thermo-elastic waves in an infinite perfectly conducting elastic solid with energy dissipation ⋮ On thermoelastic bodies with inner structure and microtemperatures ⋮ Variational principles for generalized dynamical theory of thermopiezoelectricity ⋮ Thermoelastic interactions without energy dissipation due to a line heat source ⋮ Wave propagation in generalized thermo-poro-elastic media via wavelet-based cell-adaptive central high resolution schemes using UNO limiters ⋮ Surface energy effects on thermoelastic vibration of nanomechanical systems under Moore-Gibson-Thompson thermoelasticity and Eringen's nonlocal elasticity theories ⋮ Investigation on thermomechanical fracture in the framework of configurational forces ⋮ Effect of inclined load on a functionally graded fiber-reinforced thermoelastic medium with temperature-dependent properties ⋮ Global existence and decay estimates of solution to Cauchy problem of nonlinear thermoelasticity of type-2 ⋮ Variational and reciprocal principles in thermoelasticity without energy dissipation ⋮ Thermoelasticity with thermal relaxation: An alternative formulation ⋮ Convergence and structural stability in thermoelasticity. ⋮ Analiticity of the type III thermoelastic Euler Bernoulli model with tip ⋮ Thermoelasticity without energy dissipation of materials with microstructure ⋮ On the existence and decay in a new thermoelastic theory with two temperatures ⋮ A study on the thermoelasticity of three-phase-lag dipolar materials with voids ⋮ Thermoelastic wave propagation in thin beams under thermal shock loading ⋮ Modeling of memory dependent derivative under three-phase lag in generalized thermo-viscoelasticity ⋮ A fractional-order thermoviscoelastic analysis of a micro-rod heated by an ultrashort laser pulse heating
Cites Work
This page was built for publication: Thermoelasticity without energy dissipation
