Nonlocal polar elastic continua
From MaRDI portal
Publication:2550301
DOI10.1016/0020-7225(72)90070-5zbMath0229.73006OpenAlexW2069344959MaRDI QIDQ2550301
Publication date: 1972
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7225(72)90070-5
Related Items
Graphene-based mass sensors: chaotic dynamics analysis using the nonlocal strain gradient model ⋮ Dynamic modeling and analysis of rotating FG beams for capturing steady bending deformation ⋮ One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: close form solution and consistent size effect ⋮ Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects ⋮ Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position ⋮ Nonlinear dynamics of fluid conveying double-walled nanotubes incorporating surface effect: a bifurcation analysis ⋮ Nonlinear coupling vibrations of graphene composite laminated sheets impacted by particles ⋮ Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates ⋮ A size-dependent shear deformation beam model based on the strain gradient elasticity theory ⋮ Rayleigh waves in a nonlocal thermoelastic layer lying over a nonlocal thermoelastic half-space ⋮ Modified nonlocal elasticity theory for functionally graded materials ⋮ Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories ⋮ A unified integro-differential nonlocal model ⋮ Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory ⋮ On the mechanics of Kirchhoff and Mindlin plates incorporating surface energy ⋮ Nonlocal nonlinear analysis of functionally graded plates using third-order shear deformation theory ⋮ On vibrations of functionally graded viscoelastic nanobeams with surface effects ⋮ Vibrations of three-dimensionally graded nanobeams ⋮ Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved ⋮ Buckling analysis of arbitrary two-directional functionally graded Euler-Bernoulli nano-beams based on nonlocal elasticity theory ⋮ Transient behavior of an orthotropic graphene sheet resting on orthotropic visco-Pasternak foundation ⋮ Exploring the source of non-locality in the Euler-Bernoulli and Timoshenko beam models ⋮ Non-local analysis of free vibration of bi-directional functionally graded Euler-Bernoulli nano-beams ⋮ Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach ⋮ Eringen's non-local elasticity theory for bending analysis of bi-directional functionally graded Euler-Bernoulli nano-beams ⋮ Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials ⋮ On the mechanics of functionally graded nanobeams with the account of surface elasticity ⋮ Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory ⋮ Axisymmetric postbuckling analysis of size-dependent functionally graded annular microplates using the physical neutral plane ⋮ Eringen's nonlocal theories of beams accounting for moderate rotations ⋮ Nonlinear wave modulation in nanorods using nonlocal elasticity theory ⋮ Nonlinear free vibration of non-prismatic single-walled carbon nanotubes by a non-local shear deformable beam \(p\)-element ⋮ In-plane thermal loading effects on vibrational characteristics of functionally graded nanobeams ⋮ A refined nonlocal thermoelasticity theory for the vibration of nanobeams induced by ramp-type heating ⋮ A nonlocal higher-order shear deformation beam theory for vibration analysis of size-dependent functionally graded nanobeams ⋮ A novel beam-elastic substrate model with inclusion of nonlocal elasticity and surface energy effects ⋮ Wave characteristics of nanotubes conveying fluid based on the non-classical Timoshenko beam model incorporating surface energies ⋮ Surface stress effect on the vibration and instability of nanoscale pipes conveying fluid based on a size-dependent Timoshenko beam model ⋮ Axial vibration analysis of nanocones based on nonlocal elasticity theory ⋮ Flexural wave propagation analysis of embedded S-FGM nanobeams under longitudinal magnetic field based on nonlocal strain gradient theory ⋮ Free vibration of size-dependent magneto-electro-elastic nanoplates based on the nonlocal theory ⋮ Free and forced vibration nonlinear analysis of a microbeam using finite strain and velocity gradients theory ⋮ On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale ⋮ Nonlocal elasticity based vibration of initially pre-stressed coupled nanobeam systems ⋮ Nonlocal nonlinear free vibration of nanobeams with surface effects ⋮ Vibration and buckling of first-order shear deformable circular cylindrical micro-/nano-shells based on Mindlin's strain gradient elasticity theory ⋮ Coupling GSM/ALE with ES-FEM-T3 for fluid-deformable structure interactions ⋮ Nonlinear vibration analysis of double-walled carbon nanotubes based on nonlocal elasticity theory ⋮ Size effects of functionally graded moderately thick microplates: a novel non-classical simple-FSDT isogeometric analysis ⋮ Nonlinear free vibration of size-dependent functionally graded microbeams ⋮ A nonlocal beam theory for bending, buckling, and vibration of nanobeams ⋮ Wave propagation characteristics of a twisted micro scale beam ⋮ A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams ⋮ Thermal buckling of a nanoplate with small-scale effects ⋮ Strain-gradient elastic-plastic material models and assessment of the higher-order boundary conditions ⋮ Nanofluidic flow-induced longitudinal and transverse vibrations of inclined stocky single-walled carbon nanotubes ⋮ Nonlocal elasticity theory for radial vibration of nanoscale spherical shells ⋮ A non-classical Mindlin plate finite element based on a modified couple stress theory ⋮ Nonlinear vibration analysis of visoelastically coupled DLAGS-systems ⋮ Static and free vibration analyses of small-scale functionally graded beams possessing a variable length scale parameter using different beam theories ⋮ First-order gradient damage theory ⋮ Buckling of circular/annular Mindlin nanoplates via nonlocal elasticity ⋮ Characterization of free vibration of elastically supported double-walled carbon nanotubes subjected to a longitudinally varying magnetic field ⋮ Crack extension force in a nonlocal nonlinear micropolar field theory ⋮ Nonlocal effect on axially compressed buckling of triple-walled carbon nanotubes under temperature field ⋮ A new shear deformation model with modified couple stress theory for microplates ⋮ Axisymmetric/asymmetric buckling of functionally graded circular/annular Mindlin nanoplates via nonlocal elasticity ⋮ Free vibration of pre-tensioned nanobeams based on nonlocal stress theory ⋮ Application of nonlocal beam models to double-walled carbon nanotubes under a moving nanoparticle. I: Theoretical formulations ⋮ Thermal effects on buckling of shear deformable nanocolumns with von Kármán nonlinearity based on nonlocal stress theory ⋮ Analysis of bias DC voltage effect on thermoelastic damping ratio in short nano-beam resonators based on nonlocal elasticity theory and dual-phase-lagging heat conduction model ⋮ Free vibrations of elastically embedded stocky single-walled carbon nanotubes acted upon by a longitudinally varying magnetic field ⋮ Unified thermodynamic framework for nonlocal/gradient continuum theories ⋮ A perspective on trends in multiscale plasticity ⋮ The initial values method for buckling of nonlocal bars with application in nanotechnology ⋮ Analysis of sigmoid functionally graded material (S-FGM) nanoscale plates using the nonlocal elasticity theory ⋮ Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates ⋮ Vibration of FG nanobeams induced by sinusoidal pulse-heating via a nonlocal thermoelastic model ⋮ Axial buckling analysis of vertically aligned ensembles of single-walled carbon nanotubes using nonlocal discrete and continuous models ⋮ Nanomechanical sensors based on elastically supported double-walled carbon nanotubes ⋮ A theoretical analysis of the free axial vibration of non-local rods with fractional continuum mechanics ⋮ Conservation laws in nonlocal elasticity ⋮ Dislocation pile-ups in bicrystals within continuum dislocation theory ⋮ Torsional vibration of single-walled carbon nanotubes using doublet mechanics ⋮ Exact stiffness matrix for nonlocal bars embedded in elastic foundation media: the virtual-force approach ⋮ Vistas of nonlocal continuum physics ⋮ Mechanical analysis of higher order gradient nanobeams ⋮ Surface effect on free transverse vibrations and dynamic instability of current-carrying nanowires in the presence of a longitudinal magnetic field ⋮ Nonlocal theories for bending, buckling and vibration of beams ⋮ On non-local and non-homogeneous elastic continua ⋮ Size-dependent dynamic modeling and vibration analysis of MEMS/NEMS-based nanomechanical beam based on the nonlocal elasticity theory ⋮ Nonlinear vibration analysis of laminated composite Mindlin micro/nano-plates resting on orthotropic Pasternak medium using DQM ⋮ Analytical and numerical investigations on buckling behavior of nanotube structures ⋮ Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory ⋮ Nonlocal integral elasticity: 2D finite element based solutions ⋮ On the dynamic response of porous functionally graded microbeam under moving load ⋮ Higher modes of buckling in shear deformable nanobeams ⋮ Free vibration analysis of functionally graded anisotropic microplates using modified strain gradient theory ⋮ Plane waves in nonlocal micropolar elasticity ⋮ On the thermomechanics of interstitial working ⋮ Gradient-enriched finite element methodology for axisymmetric problems ⋮ A nonhomogeneous nonlocal elasticity model ⋮ Closed form solution for dynamic analysis of rectangular nanorod based on nonlocal strain gradient ⋮ L–S theory for the propagation of the photo-thermal waves in a semiconducting nonlocal elastic medium ⋮ Using the modified strain gradient theory to investigate the size-dependent biaxial buckling analysis of an orthotropic multi-microplate system ⋮ Toward the thermodynamic modeling of reacting ionic mixtures ⋮ Plane strain and plane stress elasticity under fractional continuum mechanics ⋮ An efficient computational approach for size-dependent analysis of functionally graded nanoplates ⋮ Nonlocal elasticity effect on vibration of in-plane loaded double-walled carbon nanotubes ⋮ A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory ⋮ Free vibrations of a strain gradient beam by the method of initial values ⋮ A Novel Pick-Out Theory and Technique for Constructing the Smoothed Derivatives of Functions for Numerical Methods ⋮ Free vibration analysis of embedded single-layered nanoplates and graphene sheets by using the multiple time scale method ⋮ Large deflection analysis of nanowires based on nonlocal theory using total Lagrangian finite element method ⋮ Wave dispersion in nonlocal anisotropic macro/nanoplates made of functionally graded materials ⋮ Rayleigh-type surface waves in a nonlocal thermoelastic solid half space with voids ⋮ Nonlinear vibration analysis of double-layered nanoplates with different boundary conditions ⋮ Size-dependent electro-static analysis of smart micro-sandwich panels with functionally graded core ⋮ On a family of numerical models for couple stress based flexoelectricity for continua and beams ⋮ The mechanically based non-local elasticity: an overview of main results and future challenges ⋮ Buckling analysis of orthotropic nanoplates based on nonlocal strain gradient theory using the higher-order finite strip method (H-FSM) ⋮ Size dependent torsional electro-mechanical analysis of flexoelectric micro/nanotubes ⋮ Dynamics of imperfect inhomogeneous nanoplate with exponentially-varying properties resting on viscoelastic foundation ⋮ The size-dependent analysis of microplates via a newly developed shear deformation theory ⋮ Adaptive self-organizing fuzzy sliding mode controller for a nonlocal strain gradient nanobeam ⋮ Topology optimization design related to size effect using the modified couple stress theory ⋮ On the consistency of the nonlocal strain gradient elasticity ⋮ Isogeometric analysis of small-scale effects on the vibration of functionally graded porous curved microbeams based on the modified strain gradient elasticity theory ⋮ Dynamic mathematical model of modified couple stress thermoelastic diffusion with phase-lag ⋮ Static analysis of orthotropic nanoplates reinforced by defective graphene based on strain gradient theory using a simple boundary method ⋮ Dynamics of a FG porous microbeam with metal foam under deformable boundaries ⋮ New closed-form solutions for flexural vibration and eigen-buckling of nanoplates based on the nonlocal theory of elasticity ⋮ On the mapping procedure based on higher‐order Hermite polynomials for laminated thin plates with arbitrary domains in gradient elasticity ⋮ A size-dependent quasi-3D model for bending and buckling of porous functionally graded curved nanobeam ⋮ A new method for evaluating the natural frequency in radial breathing like mode vibration of double‐walled carbon nanotubes ⋮ Flexural responses of nanobeams with coupled effects of nonlocality and surface energy ⋮ Characteristics of shear horizontal waves in magnetically affected ultra-thin films accounting for surface effect ⋮ Torsional frequency analyses of microtubules with end attachments ⋮ Linear peridynamics for triclinic materials ⋮ Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer ⋮ Propagation of waves in nonlocal porous multi-phase nanocrystalline nanobeams under longitudinal magnetic field ⋮ An analytical study on wave propagation in functionally graded nano-beams/tubes based on the integral formulation of nonlocal elasticity ⋮ A unified high-order model for size-dependent vibration of nanobeam based on nonlocal strain/stress gradient elasticity with surface effect ⋮ Thermal effect on vibrational behaviors of rotating functionally graded microbeams ⋮ Size-dependent postbuckling for microbeams: analytical solutions using a reformulated strain gradient elasticity theory ⋮ Reflection of plane waves in nonlocal fractional-order thermoelastic half space ⋮ A weak form quadrature element formulation of geometrically exact beams with strain gradient elasticity ⋮ Nonlinear dynamic stability analysis of axial impact loaded structures via the nonlocal strain gradient theory ⋮ Higher order finite element models for transient analysis of strain gradient functionally graded microplates ⋮ Static and free vibration analysis of functionally graded annular plates using stress-driven nonlocal theory ⋮ An Overview on Meshfree Methods: For Computational Solid Mechanics ⋮ Size-dependent nonlinear vibration analysis of cracked graphene-platelets-reinforced-composites (GPLRC) plate under parametric excitation ⋮ Divergence and flutter instability of magneto-thermo-elastic C-BN hetero-nanotubes conveying fluid ⋮ Numerical modelling of a spheroid living cell membrane under hydrostatic pressure ⋮ Free vibrations of nonlocally elastic rods ⋮ Size-Dependent Geometrically Nonlinear Free Vibration of First-Order Shear Deformable Piezoelectric-Piezomagnetic Nanobeams Using the Nonlocal Theory ⋮ Free vibration of nonhomogeneous Timoshenko nanobeams ⋮ 24-DOF quadrilateral hybrid stress element for couple stress theory ⋮ Unnamed Item ⋮ DYNAMICAL PROPERTIES OF MULTI-WALLED CARBON NANOTUBES BASED ON A NONLOCAL ELASTICITY MODEL ⋮ Wave propagation in nonlocal microstretch solid ⋮ Non-local behavior of two collinear mixed-mode limited-permeable cracks in a functionally graded piezoelectric medium ⋮ A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory ⋮ Temperature-related study on buckling properties of double-walled carbon nanotubes ⋮ Bilaterally nonlocal dynamics of layer-by-layer assembly of double-walled carbon nanotubes accounting for intertube rigorous van der Waals forces ⋮ Strain gradient differential quadrature Kirchhoff plate finite element with the \(C^2\) partial compatibility ⋮ VIBRATION OF INITIALLY STRESSED MICRO- AND NANO-BEAMS ⋮ Nonlinear internal resonance of double-walled nanobeams under parametric excitation by nonlocal continuum theory ⋮ Size-dependent dynamic analysis of rectangular nanoplates in the presence of electrostatic, Casimir and thermal forces ⋮ A variational approach for large deflection of ends supported nanorod under a uniformly distributed load, using intrinsic coordinate finite elements ⋮ Exact modes for post-buckling characteristics of nonlocal nanobeams in a longitudinal magnetic field ⋮ A nonlocal higher-order model including thickness stretching effect for bending and buckling of curved nanobeams ⋮ Terminal sliding mode control with non-symmetric input saturation for vibration suppression of electrostatically actuated nanobeams in the presence of Casimir force ⋮ Non-linear frequency response and stability analysis of piezoelectric nanoresonator subjected to electrostatic excitation ⋮ Nonlocal Theory of Plates and Shells Based on Legendre’s Polynomial Expansion ⋮ Nonlinear vibration analysis of graphene sheets resting on Winkler-Pasternak elastic foundation using an atomistic-continuum multiscale model ⋮ SMALL SCALE EFFECT ON THE FREE VIBRATION OF MULTI-WALLED CARBON NANOTUBES ⋮ A new isogeometric Timoshenko beam model incorporating microstructures and surface energy effects ⋮ A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells ⋮ Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory ⋮ Buckling and vibration analysis of nonlocal axially functionally graded nanobeams based on Hencky-bar chain model ⋮ A unified size-dependent plate model based on nonlocal strain gradient theory including surface effects ⋮ A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory ⋮ Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams ⋮ Deep postbuckling and nonlinear bending behaviors of nanobeams with nonlocal and strain gradient effects ⋮ Nonlinear free vibration of piezoelectric cylindrical nanoshells ⋮ Bending of small-scale Timoshenko beams based on the integral/differential nonlocal-micropolar elasticity theory: a finite element approach ⋮ Memory Response in a Magneto-Thermoelastic Rod with Moving Heat Source Based on Eringen’s Nonlocal Theory Under Dual-Phase Lag Heat Conduction ⋮ The effect of bi-axial in-plane loads on nonlinear dynamics of micro-plates under harmonic excitation ⋮ An isogeometric approach of static and free vibration analyses for porous FG nanoplates ⋮ Static bending and free vibration of organic solar cell resting on Winkler-Pasternak elastic foundation through the modified strain gradient theory ⋮ Scale effects on nonlocal buckling analysis of bilayer composite plates under non-uniform uniaxial loads ⋮ TORSIONAL DYNAMIC RESPONSE OF A CARBON NANOTUBE EMBEDDED IN VISCO-PASTERNAK’S MEDIUM ⋮ Three-dimensional nonlocal thermoelasticity in orthotropic medium based on Eringen’s nonlocal elasticity ⋮ Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory ⋮ Nonlinear vibrations of a single-walled carbon nanotube for delivering of nanoparticles ⋮ Effect of dual-phase-lag model on the vibration analysis of nonlocal generalized thermoelastic diffusive hollow sphere ⋮ Variational approach to dynamic analysis of third-order shear deformable plates within gradient elasticity ⋮ Nonlocal effects on the longitudinal vibration of a complex multi-nanorod system subjected to the transverse magnetic field ⋮ Analysis of radial breathing mode of vibration of single‐walled carbon nanotubes via doublet mechanics ⋮ A unified beam theory with strain gradient effect and the von Kármán nonlinearity ⋮ An analytical model for predicting equivalent elastic moduli of micro/nano-honeycombs with nonlocal effects ⋮ The effect of nonlocal scale value and phase lags on thermoelastic waves in a multilayered LEMV/CFRP composite cylinder ⋮ Mathematical modelling of laser-instigated magneto-thermo-mechanical interactions inside half-space ⋮ Response of excited microelongated non-local semiconductor layer thermomechanical waves to photothermal transport processes ⋮ Vibration of a piezoelectric nanobeam with flexoelectric effects by Adomian decomposition method ⋮ 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 ⋮ Exact and approximate analytical solutions for nonlocal nanoplates of arbitrary shapes in bending using the line element-less method ⋮ A nonlocal strain gradient model for buckling analysis of laminated composite nanoplates using CLPT and TSDT ⋮ An eigenvalue solution for nonlocal vibration of guide supported perfect/imperfect functionally graded power‐law and sigmoid nanobeams on one‐parameter elastic foundation ⋮ Propagation of plane waves in a nonlocal transversely isotropic thermoelastic medium with voids and rotation ⋮ A semi-analytical nonlocal elasticity model for static stability and vibration behaviour of agglomerated CNTs reinforced nano cylindrical panel under non-uniform edge loads ⋮ A non-local method in peridynamic theory for simulating elastic wave propagation in solids ⋮ Coupled newmark beta technique and GDQ method for energy harvesting and vibration control of the piezoelectric MEMS/NEMS subjected to a blast load ⋮ Nonlinear wave propagation analysis in Timoshenko nano-beams considering nonlocal and strain gradient effects ⋮ Effect of foam structure on thermo-mechanical buckling of foam core sandwich nanoplates with layered face plates made of functionally graded material (FGM) ⋮ Implementation of Legendre wavelet method for the size dependent bending analysis of nano beam resonator under nonlocal strain gradient theory ⋮ Large elastic deflections of bars based on nonlocal elasticity ⋮ On dynamic pull‐in instability of electrostatically actuated multilayer nanoresonators: A semi‐analytical solution ⋮ Damped waves under nonlocal Euler-Bernoulli and extended Green-Naghdi II theories in radiating thermoelastic nanobeams ⋮ Indentation of a free beam resting on an elastic substrate with an internal lengthscale ⋮ Buckling of bi-coated functionally graded porous nanoplates via a nonlocal strain gradient quasi-3D theory ⋮ A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method ⋮ Dynamic stability of the sandwich nano-beam system ⋮ Nonlinear nonlocal damping effects under magnetic loads of a ferromagnetic-viscoelastic nanotube exposed to a nonlinear elastic medium with nonlocal viscosity ⋮ On using mesh-based and mesh-free methods in problems defined by Eringen's non-local integral model: issues and remedies ⋮ Vibration Behavior of a Sandwich Porous Elliptical Micro-Shell with a Magneto-Rheological Core Based on the Modified Couple Stress Theory ⋮ Size‐dependent Levinson beam theory for thermal vibration of a nanobeam with deformable boundary conditions ⋮ An efficient numerical method for the quasi-static behaviour of micropolar viscoelastic Timoshenko beams for couple stress problems ⋮ Finite element formulation for nano‐scaled beam elements ⋮ Nonlocal elasticity and thermal dual‐phase‐lag effect on the vibration analysis of transversely isotropic electro‐magneto generalized thermoelastic sphere with voids ⋮ Non-standard and constitutive boundary conditions in nonlocal strain gradient elasticity ⋮ Size-dependent complex band structure of tunable beam metamaterial with shunted piezoelectric array ⋮ Dynamic pull-in instability of multilayer graphene NEMSs: non-classical continuum model and molecular dynamics simulations ⋮ Hygrothermal effects on buckling behaviors of porous bi-directional functionally graded micro-/nanobeams using two-phase local/nonlocal strain gradient theory ⋮ Well-posedness, lack of analyticity and exponential stability in nonlocal Mindlin's strain gradient porous elasticity ⋮ Free transverse vibrations of nanobeams with multiple cracks ⋮ Thermal plane waves in unbounded non-local medium exposed to a moving heat source with a non-singular kernel and higher order time derivatives ⋮ On the vibration dynamics of heterogeneous panels under arbitrary boundary conditions ⋮ Surface effect on band structure of magneto-elastic phononic crystal nanoplates subject to magnetic and stress loadings ⋮ Buckling analysis of functionally graded nanobeams under non-uniform temperature using stress-driven nonlocal elasticity ⋮ A new model to study magnetic-electric fields effects on bending of nano-scale magneto-electro-elastic beams ⋮ Nonlocal force equilibrium condition for non-simple materials ⋮ On an inverse spectral problem ⋮ Waves in nonlocal elastic solid with voids ⋮ Nonlinear stability and vibration of imperfect CNTs by doublet mechanics ⋮ Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review ⋮ Static analysis of a circular nanotube made of functionally graded bi-semi-tubes using nonlocal strain gradient theory and a refined shear model ⋮ Fluid velocity and mass ratio identification of piezoelectric nanotube conveying fluid using inverse analysis ⋮ A size-dependent moving Kriging meshfree model for deformation and free vibration analysis of functionally graded carbon nanotube-reinforced composite nanoplates ⋮ Analyzing the bond behavior of fiber-reinforced polymer (FRP) bars embedded in engineered cementitious composites (ECCs) with the nonlocal continuum rod model ⋮ Surface waves in porous nonlocal thermoelastic orthotropic medium ⋮ Reflection of plane waves in a nonlocal micropolar thermoelastic medium under the effect of rotation ⋮ Vibrations of a nonlocal thermoelastic cylinder with void ⋮ Analysis of functionally graded nanodisks under thermoelastic loading based on the strain gradient theory ⋮ A new method for bending and buckling analysis of rectangular nano plate: full modified nonlocal theory ⋮ Investigation of size-dependent quasistatic response of electrically actuated nonlinear viscoelastic microcantilevers and microbridges ⋮ On the optimal form of nano-rods ⋮ Large deflection of thermo-mechanical loaded bilayer orthotropic graphene sheet in/on polymer matrix based on nonlocal elasticity theory ⋮ Nonlocal piezo-hygrothermal analysis for vibration characteristics of a piezoelectric Kelvin-Voigt viscoelastic nanoplate embedded in a viscoelastic medium ⋮ Coupled chemomechanical theory with strain gradient and surface effects ⋮ Divergence and flutter instabilities of nanobeams in moving state accounting for surface and shear effects ⋮ Nonlinear dual frequency excited vibration of viscoelastic graphene sheets exposed to thermo-magnetic field ⋮ Vibration analysis of viscoelastic inhomogeneous nanobeams resting on a viscoelastic foundation based on nonlocal strain gradient theory incorporating surface and thermal effects ⋮ Size-dependent linear elastic fracture of nanobeams ⋮ The mechanically-based approach to 3D non-local linear elasticity theory: long-range central interactions ⋮ Postbuckling and free nonlinear vibration of microbeams based on nonlinear elastic foundation ⋮ Higher-order peridynamic material correspondence models for elasticity ⋮ Surface energy-enriched gradient elastic Kirchhoff plate model and a novel weak-form solution scheme ⋮ Differential quadrature-based solution for non-classical Euler-Bernoulli beam theory ⋮ Nonlocal layerwise formulation for bending of multilayered/functionally graded nanobeams featuring weak bonding ⋮ A micro/nano-scale Timoshenko-Ehrenfest beam model for bending, buckling and vibration analyses based on doublet mechanics theory ⋮ A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method ⋮ Nonlinear bandgap properties in a nonlocal piezoelectric phononic crystal nanobeam ⋮ Flexural wave band structure of magneto-elastic phononic crystal nanobeams based on the nonlocal theory ⋮ Static, stability and dynamic analyses of second strain gradient elastic Euler-Bernoulli beams ⋮ Nonlinear analysis of laminated FG-GPLRC beams resting on an elastic foundation based on the two-phase stress-driven nonlocal model ⋮ Isogeometric analysis of bending, vibration, and buckling behaviors of multilayered microplates based on the non-classical refined shear deformation theory ⋮ `Explicit' and `implicit' non-local continuum descriptions: plate with circular hole ⋮ Structural symmetry and boundary conditions for nonlocal symmetrical problems ⋮ Nonlinear dynamics and stability analysis of piezo-visco medium nanoshell resonator with electrostatic and harmonic actuation ⋮ Application of hetero junction CNTs as mass nanosensor using nonlocal strain gradient theory: an analytical solution ⋮ The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis ⋮ Modeling and analysis of bi-directional functionally graded nanobeams based on nonlocal strain gradient theory ⋮ Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory ⋮ Torsional vibration of nonprismatically nonhomogeneous nanowires with multiple defects: surface energy-nonlocal-integro-based formulations ⋮ Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes ⋮ Dynamic analysis of wave propagation and buckling phenomena in carbon nanotubes(CNTs) ⋮ Exact solutions for forced vibration of completely free orthotropic rectangular nanoplates resting on viscoelastic foundation ⋮ Nonlocal free dynamic analysis of periodic arrays of single-walled carbon nanotubes in the presence of longitudinal thermal and magnetic fields ⋮ Application of differential quadrature method in free vibration analysis of nanobeams based on various nonlocal theories ⋮ Buckling and vibration analysis nanoplates with imperfections ⋮ Static and eigenvalue problems of sigmoid functionally graded materials (S-FGM) micro-scale plates using the modified couple stress theory ⋮ An efficient size-dependent plate theory for bending, buckling and free vibration analyses of functionally graded microplates resting on elastic foundation ⋮ Axisymmetric vibration of SWCNTs in water with arbitrary chirality based on nonlocal anisotropic shell model ⋮ On the truth of nanoscale for nanobeams based on nonlocal elastic stress field theory: equilibrium, governing equation and static deflection ⋮ Surface effects on free vibration of piezoelectric functionally graded nanobeams using nonlocal elasticity ⋮ Bifurcation analysis of an electro-statically actuated nano-beam based on the nonlocal theory considering centrifugal forces ⋮ Discrete kernel functions for fcc crystals within Eringen's nonlocal theory of elasticity ⋮ Size effect on cracked functional composite micro-plates by an XIGA-based effective approach ⋮ Instability of functionally graded micro-beams via micro-structure-dependent beam theory ⋮ Coupled longitudinal-transverse-rotational free vibration of post-buckled functionally graded first-order shear deformable micro- and nano-beams based on the Mindlin's strain gradient theory ⋮ Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear-deformable beams ⋮ Poisson's ratio effects on the mechanics of auxetic nanobeams ⋮ A general nonlocal nonlinear model for buckling of nanobeams ⋮ A single variable shear deformable nonlocal theory for transversely loaded micro- and nano-scale rectangular beams ⋮ Elastic-plastic deformation decomposition algorithm for metal clusters at the atomic scale ⋮ Vibration analysis of nano-rotor's blade applying Eringen nonlocal elasticity and generalized differential quadrature method ⋮ Dynamic analysis of size-dependent micro-beams with nonlinear elasticity under electrical actuation ⋮ Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory ⋮ Bending analysis of functionally graded nanobeams based on the fractional nonlocal continuum theory by the variational Legendre spectral collocation method ⋮ Correction of local elasticity for nonlocal residuals: application to Euler-Bernoulli beams ⋮ Vibration analysis of Euler-Bernoulli nanobeams embedded in an elastic medium by a sixth-order compact finite difference method ⋮ Buckling of FG circular/annular Mindlin nanoplates with an internal ring support using nonlocal elasticity ⋮ Nonlocal magneto-thermo-vibro-elastic analysis of vertically aligned arrays of single-walled carbon nanotubes ⋮ 3D elasticity analytical solution for bending of FG micro/nanoplates resting on elastic foundation using modified couple stress theory ⋮ A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams ⋮ Dynamic and static isogeometric analysis for laminated Timoshenko curved microbeams ⋮ Structural behaviours of zigzag and armchair nanobeams using finite element doublet mechanics ⋮ Application of nonlocal continuum theory to the primary resonance analysis of an axially loaded nano beam under time delay control ⋮ Size-dependent dynamics of a FG nanobeam near nonlinear resonances induced by heat ⋮ Bending, vibration, buckling analysis of bi-directional FG porous microbeams with a variable material length scale parameter ⋮ Vibration analysis of electro-magneto transversely isotropic non-local thermoelastic cylinder with voids material ⋮ Studies on band structure of magneto-elastic phononic crystal nanoplates using the nonlocal theory ⋮ Surface energy effects on thermoelastic vibration of nanomechanical systems under Moore-Gibson-Thompson thermoelasticity and Eringen's nonlocal elasticity theories ⋮ Dynamic analysis of multiple-nanobeam-systems acted upon by multiple moving nanoparticles accounting for nonlocality, lag, and lateral inertia ⋮ Static analysis of planar arbitrarily curved microbeams with the modified couple stress theory and Euler-Bernoulli beam model ⋮ An effective analytical method for buckling solutions of a restrained FGM nonlocal beam ⋮ Non-local finite element formulation for stability analysis of thin-walled nanobeams with varying I-section ⋮ Analytical and meshless DQM approaches to free vibration analysis of symmetric FGM porous nanobeams with piezoelectric effect ⋮ Nonlocal-integro-surface energy-vibro analysis of twist in coaxially composite wire-like nanostructures with internal and interfacial defects via a meshless technique
Cites Work