scientific article; zbMATH DE number 972340
From MaRDI portal
Publication:5691468
zbMath0870.73004MaRDI QIDQ5691468
Publication date: 29 January 1997
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thermodynamics in solid mechanics (74A15) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Research exposition (monographs, survey articles) pertaining to classical thermodynamics (80-02)
Related Items
Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations, On general principles of the theory of constitutive relations in classical continuum mechanics, Computational aspects of the mechanics of complex materials, Singular curves in the resultant thermomechanics of shells, An example of a one-parameter family of rank-one convex stored energies for isotropic compressible solids, On the Gibbs conditions of stable equilibrium, convexity and the second-order variations of thermodynamic potentials in nonlinear thermoelasticity, Multiphase-field model of small strain elasto-plasticity according to the mechanical jump conditions, Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space, A biphasic continuum approach for viscoelastic high-porosity foams: comprehensive theory, numerics, and application, Thermodynamic and rate variational formulation of models for inhomogeneous gradient materials with microstructure and application to phase field modeling, On energy and entropy inflows in the theory of heat conduction, Geometry of logarithmic strain measures in solid mechanics, Multiscale mechanics of macromolecular materials with unfolding domains, Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity, Local symmetry group in the general theory of elastic shells, A simple model for performing nonlinear static and dynamic analyses of unreinforced and FRP-strengthened masonry arches, Thermodynamic and relaxation-based modeling of the interaction between martensitic phase transformations and plasticity, On evolving deformation microstructures in non-convex partially damaged solids, On twinning and domain switching in ferroelectric pb(Zr\(_{1-x}\)Ti\(_{x}\))O\(_{3}\). I: Twins and domain walls, On the rank 1 convexity of stored energy functions of physically linear stress-strain relations, Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture, Marginal material stability, Geometric arbitrage theory and market dynamics, Conditions for the onset of elastic and material instabilities in hyperelastic materials, The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity, On the formulation of continuum thermodynamic models for solids as general equations for non-equilibrium reversible-irreversible coupling, Equilibrium of phases with interfacial energy: a variational approach, Simple thermomechanical materials with memory, An extended crystal plasticity model for latent hardening in polycrystals, A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials., Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy., Jacobian of weak limits of Sobolev homeomorphisms, A view on anisotropic finite hyperelasticity, formulation of models for extended crystal plasticity at large deformation, On the stress calculation within phase-field approaches: a model for finite deformations, Polyconvexity for functions of a system of closed differential forms, The physics and mathematics of the second law of thermodynamics, Local and non-local Gurson-based ductile damage and failure modelling at large deformation, On the spatial formulation of anisotropic multiplicative elasto-plasticity., Stochastic evolution of microcracks in continua, Two-way coupled cloud-in-cell modeling of non-isothermal particle-laden flows: A subgrid particle-averaged Reynolds stress-equivalent (SPARSE) formulation, Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives, Anisotropic finite elastoplastic analysis of shells: Simulation of earing in deep-drawing of single- and polycrystalline sheets by Taylor-type micro-to-macro transitions., Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: part I: Monolithic integrators and their application to finite strain thermoelasticity, Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics. II: Fractional step methods, Multiphase-field modelling of crack propagation in geological materials and porous media with Drucker-Prager plasticity, Energy flux characteristics of inhomogeneous waves in anisotropic thermoviscoelastic media, Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations, The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers, Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity, Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy, Simulating mechanical wave propagation within the framework of phase-field modelling, Uniqueness of equilibrium with sufficiently small strains in finite elasticity, Application of variational methods in chemical thermodynamics: a study of the stability of chemical systems, Multiphasic intervertebral disc mechanics: theory and application, Aspects of bifurcation in an isotropic elastic continuum with orthotropic inelastic interface, Limits of Sobolev homeomorphisms, On boundary potential energies in deformational and configurational mechanics, Small strain multiphase-field model accounting for configurational forces and mechanical jump conditions, Equilibrium of a second-gradient fluid and an elastic solid with surface stresses, On spatial and material settings of hyperelastostatic crystal defects, Material forces in open system mechanics, Application of the material force method to thermo-hyperelasticity, Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition, Geometry of interactions in complex bodies, A first order hyperbolic framework for large strain computational solid dynamics. III: Thermo-elasticity, An entropy-stable smooth particle hydrodynamics algorithm for large strain thermo-elasticity, The quasiconvex envelope of conformally invariant planar energy functions in isotropic hyperelasticity, Roughening instability of broken extremals, Variational formulation of the first principle of continuum thermodynamics, A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis, Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split, Null Lagrangians in Cosserat elasticity, Lipschitz continuity for isotropic matrix functions, Modeling the arterial wall mechanics using a novel high-order viscoelastic fractional element, Potentials for the modified Cam-Clay model, A natural generalization of linear isotropic relations with seth-Hill strain tensors to transversely isotropic materials at finite strains, Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors, Thermodynamic model formulation for viscoplastic solids as general equations for non-equilibrium reversible-irreversible coupling, On spatial and material settings of hyperelastodynamics, Thermodynamic laws and consistent Eulerian formulation of finite elastoplasticity with thermal effects, The complementing and Agmon's conditions in finite elasticity, Non-local thermoelasticity based on equilibrium statistical thermodynamics, A computational investigation of the effective viscosity of short-fiber reinforced thermoplastics by an FFT-based method, A phase field model for damage in elasto-viscoplastic materials, Finite element analysis of internally balanced elastic materials, A novel mixed finite element for finite anisotropic elasticity: the SKA-element simplified kinematics for anisotropy, A phase-field approach to Eulerian interfacial energies, Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type, On a fluid model of neutron star, Finite electro-elasticity with physics-augmented neural networks, Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals., Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction., Loss of ellipticity and structural transformations in planar simple crystal lattices, The Cahn-Hilliard-de Gennes and generalized Penrose-Fife models for polymer phase separation, Multi-value microstructural descriptors for complex materials: analysis of ground states, Phase-field elasticity model based on mechanical jump conditions, Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials., Using enclosing ellipsoids in multiaxial fatigue strength criteria, Phase field approach with anisotropic interface energy and interface stresses: large strain formulation, A new approach for modelling slip lines in geological materials with cohesive models, Polar Decomposition of Rank 1 Perturbations in Two Dimensions, An illustration of the equivalence of the loss of ellipticity conditions in spatial and material settings of hyperelasticity, Manifolds in a Theory of Microstructures, Quasi-linear versus potential-based formulations of force-flux relations and the GENERIC for irreversible processes: comparisons and examples, The principle of the minimum of the dissipation potential for non-isothermal processes, When rank-one convexity meets polyconvexity: an algebraic approach to elastic binodal, Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation, Gradient Young Measures Generated by Quasi-Conformal Maps in the Plane, Thermodynamically consistent, maximum dissipation, time-dependent models for non-equilibrium behavior, A note on equilibrated stress fields for no-tension bodies under gravity, A simple triangular finite element for nonlinear thin shells: statics, dynamics and anisotropy, Triangulation of diffeomorphisms, Elasto-plastic evolution of single crystals driven by dislocation flow, Nonlinear multiscale simulation of elastic beam lattices with anisotropic homogenized constitutive models based on artificial neural networks, A numerical method for finite-strain mechanochemistry with localised chemical reactions treated using a Nitsche approach, Morrey's conjecture for the planar volumetric-isochoric split: least rank-one convex energy functions, A note on frame indifference and material isomorphism for simple materials, Two-scale FE-FFT- and phase-field-based computational modeling of bulk microstructural evolution and macroscopic material behavior, Material modeling for parametric, anisotropic finite strain hyperelasticity based on machine learning with application in optimization of metamaterials, An invariant‐free formulation of neo‐Hookean hyperelasticity, A sharp interface evolutionary model for shape memory alloys, A new approach to curvature measures in linear shell theories, Surface penalization of self-interpenetration in linear and nonlinear elasticity, Reflection–refraction of attenuated waves at the interface between a thermo-poroelastic medium and a thermoelastic medium, Weak Lower Semicontinuity of Integral Functionals and Applications, Comparison of phenomenological and laminate‐based models for rate‐dependent switching in ferroelectric continua, Numerical energy relaxation to model microstructure evolution in functional magnetic materials, A polyconvex transversely-isotropic invariant-based formulation for electro-mechanics: stability, minimisers and computational implementation, A large strain anisotropic ductile damage model -- effective driving forces and gradient-enhancement of damage vs. plasticity, On the variational formulation of models for materials with microstructure, Trends and challenges in the mechanics of complex materials: a view, Variational methods for fluid-structure interaction and porous media, Least-Squares Mixed Finite Element Formulations for Isotropic and Anisotropic Elasticity at Small and Large Strains, A personal appreciation of Walter Noll, On the uniqueness of energy minimizers in finite elasticity, Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions, Consequences of the Coleman‐Noll inequality for isotropic materials, On stress-affected propagation and stability of chemical reaction fronts in solids, A new example for the Lavrentiev phenomenon in nonlinear elasticity, Stability of chemical reaction fronts in solids: analytical and numerical approaches, A note on material forces in finite inelasticity, On the modeling and simulation of induced anisotropy in polycrystalline metals with application to springback, On configurational forces in the mechanics of phase and chemical transformations, A variational approach to nonlinear electro-magneto-elasticity: Convexity conditions and existence theorems, Interfacial polyconvex energy-enhanced evolutionary model for shape memory alloys, Sequential weak continuity of null Lagrangians at the boundary, Singular Surface Curves in the Resultant Thermodynamics of Shells, Global injectivity in second-gradient nonlinear elasticity and its approximation with penalty terms, Nonlinear magnetoelastostatics: Energy functionals and their second variations, A nonlinear thermomechanical formulation for anisotropic volume and surface continua, A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation, Anisotropic elastic–plastic analysis of shells at large strains. A comparison of multiplicative and additive approaches to enhanced finite element design and constitutive modelling, Methods for calculating nonconcave entropies, Asymptotic behaviour for a non-monotone fluid in one dimension: the positive temperature case, A Unified Approach to Spectral and Isotropic Functions, Occupational measures and averaged shape optimization, Constitutive relations for polar continua based on statistical mechanics and spatial averaging, Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity, An ALE formulation based on spatial and material settings of continuum mechanics. I: Generic hyperelastic formulation, Legendre transforms in nonequilibrium thermodynamics: an illustration in electrical systems, A thermodynamics derivation of constitutive relations of thermodiffusion in Kelvin-Voigt medium, Explicit formulations of tangent stiffness tensors for isotropic materials, A simplified mesh-free method for shear bands with cohesive surfaces, A logarithmic-exponential backward-Euler-based split of the flow rule for anisotropic inelastic behaviour at small elastic strain, On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers, Relations between material, intermediate and spatial generalized strain measures for anisotropic multiplicative inelasticity, Evolution of domain walls in ferroelectric solids, Algorithmic formulation and numerical implementation of coupled electromagnetic‐inelastic continuum models for electromagnetic metal forming, Continuum thermodynamic formulation of models for electromagnetic thermoinelastic solids with application in electromagnetic metal forming, Further remarks on Euclidean objectivity and the principle of material frame-indifference, On the continuum modeling of materials with kinematic structure, Simulation of strain-induced anisotropy for polymers with weighting functions, Quasiconvexity at the boundary and the nucleation of austenite, Monotone Sobolev mappings of planar domains and surfaces, A note on modelling with measures: two-features balance equations, Well-posedness of a thermo-elasto-plastic problem with phase transitions in TRIP steels under mixed boundary conditions, Continuum-discontinuum modelling of shear bands, Sufficient conditions for strong local minima: The case of $C^{1}$ extremals, Geometric continuum mechanics, Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity, Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids, Ground states in complex bodies, On Finite Element Implementation of Polyconvex Incompressible Hyperelasticity: Theory, Coding and Applications, Thermodynamically consistent gradient elasticity with an internal variable, Dislocation walls in crystals under single slip, On thermodynamic- and variational-based formulations of models for inelastic continua with internal lengthscales, Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity, Non-isothermal viscoelastic flows with conservation laws and relaxation