A variational formulation of the coupled thermo-mechanical boundary value problem for general dissipative solids
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Publication:2456857
DOI10.1016/j.jmps.2005.08.010zbMath1120.74367OpenAlexW2009643161MaRDI QIDQ2456857
Publication date: 29 October 2007
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmps.2005.08.010
Large-strain, rate-dependent theories of plasticity (74C20) Thermal effects in solid mechanics (74F05) Variational methods applied to problems in thermodynamics and heat transfer (80M30)
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Cites Work
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- On a principle of virtual work for thermoelastic bodies
- Global viscoelastic behavior of heterogeneous thermoelastic materials
- The thermodynamics of elastic materials with heat conduction and viscosity
- Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
- Variational methods in theoretical mechanics
- Approximation of free-discontinuity problems
- A priori stability estimates and unconditionally stable product formula algorithms for nonlinear coupled thermoplasticity
- An introduction to \(\Gamma\)-convergence
- Adaptive Lagrangian modelling of ballistic penetration of metallic targets
- A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals
- A theory of subgrain dislocation structures
- The variational formulation of viscoplastic constitutive updates
- Nonconvex energy minimization and dislocation structures in ductile single crystals
- Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
- On the thermodynamic foundations of non-linear solid mechanics
- The mechanics of deformation–induced subgrain–dislocation structures in metallic crystals at large strains
- Qualitative and Numerical Analysis of Quasi-Static Problems in Elastoplasticity
- Thermoelasticity and Irreversible Thermodynamics
- Symmetry-preserving return mapping algorithms and incrementally extremal paths: A unification of concepts
- New Variational-Lagrangian Irreversible Thermodynamics with Application to Viscous Flow, Reaction–Diffusion, and Solid Mechanics
- A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
- Work Bounding Functions for Plastic Materials
- Cyclic Viscoplastic Constitutive Equations, Part I: A Thermodynamically Consistent Formulation
- Numerical approximations of problems in plasticity: error analysis and solution algorithms
- Non–convex potentials and microstructures in finite–strain plasticity
- Modelling and simulation of high‐speed machining
- Elastic-Plastic Deformation at Finite Strains
- A Bounding Principle in the Theory of Work-Hardening Plasticity
