Approximation by finite elements, existence and uniqueness for a model of stratified thermoviscoplastic materials

DOI10.1007/S11587-006-0011-0zbMath1150.74046OpenAlexW2052245155MaRDI QIDQ996956

François Murat, Nicolas Ch. Charalambakis

Publication date: 19 July 2007

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-006-0011-0

zbMATH Keywords

Galerkin's methodExistenceUniquenessNonhomogeneous materialsThermal softeningThermoviscoplastic materials

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Thermal effects in solid mechanics (74F05) PDEs with low regular coefficients and/or low regular data (35R05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (4)

Mathematical homogenization of inelastic dissipative materials: a survey and recent progress ⋮ Two stable-by-homogenization models in simple shearing of rate-dependent non-homogeneous materials ⋮ Homogenization of stratified thermoviscoplastic materials ⋮ Biaxial loading of continuously graded thermoviscoplastic materials

Cites Work

• Unnamed Item
• Plastic shearing of materials exhibiting strain hardening or strain softening
• A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals
• Adiabatic shearing flow caused by time dependent inertial force
• Adiabatic shearing of incompressible fluids with temperature-dependent viscosity
• Shearing of materials exhibiting thermal softening or temperature dependent viscosity
• Analytical Characterization of Shear Localization in Thermoviscoplastic Materials
• Weak solutions to the initial-boundary value problem for the shearing of non-homogeneous thermoviscoplastic materials
• Homogenization of stratified thermoviscoplastic materials

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