Consistent incremental approximation of dissipation pseudo-potentials in the variational formulation of thermo-mechanical constitutive updates

DOI10.1016/j.mechrescom.2011.03.011zbMath1272.74142OpenAlexW2032598151MaRDI QIDQ366729

Laurent Stainier

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641311000668

zbMATH Keywords

thermomechanicsfinite thermo-visco-plasticityvariational constitutive updates

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05)

Related Items (7)

A variational formulation of thermomechanical constitutive update for hyperbolic conservation laws ⋮ The hot optimal transportation meshfree (HOTM) method for materials under extreme dynamic thermomechanical conditions ⋮ The discontinuous Galerkin material point method for variational hyperelastic-plastic solids ⋮ Mixed variational one-dimensional dynamic thermo-viscoplasticity for wave propagation ⋮ On convergence properties of variational constitutive updates for elasto-visco-plasticity ⋮ Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation ⋮ Coupled ductile-hydrolytic damage model based on variational constitutive updates

Cites Work

• Unnamed Item
• Unnamed Item
• Study and validation of a variational theory of thermo-mechanical coupling in finite visco-plasticity
• On the natural formulation and analysis of large deformation coupled thermomechanical problems
• An unconditionally stable staggered algorithm for transient finite element analysis of coupled thermoelastic problems
• Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
• A priori stability estimates and unconditionally stable product formula algorithms for nonlinear coupled thermoplasticity
• On the thermomechanical coupling in finite strain plasticity theory with non linear kinematic hardening by means of incremental energy minimization
• A variational formulation of the coupled thermo-mechanical boundary value problem for general dissipative solids
• A variational formulation of constitutive models and updates in non-linear finite viscoelasticity
• A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems

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