Homogenization of stratified thermoviscoplastic materials

DOI10.1090/S0033-569X-06-01017-3zbMath1144.74364MaRDI QIDQ5441266

François Murat, Nicolas Ch. Charalambakis

Publication date: 11 February 2008

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

thermal softeningheat coefficientrate of plastic work

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Thermal effects in solid mechanics (74F05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (8)

Mathematical homogenization of inelastic dissipative materials: a survey and recent progress ⋮ Plasticity-triggered architectural effects in periodic multilayers with wavy microstructures ⋮ Propagation of melting front in structurally heterogeneous media having phase transitions of inhomogeneities ⋮ The role of gradation on the improvement of effective properties of highly heterogeneous multilayered thermoviscoplastic materials under simple shearing ⋮ Two stable-by-homogenization models in simple shearing of rate-dependent non-homogeneous materials ⋮ STABILITY BY HOMOGENIZATION OF THERMOVISCOPLASTIC PROBLEMS ⋮ Approximation by finite elements, existence and uniqueness for a model of stratified thermoviscoplastic materials ⋮ Biaxial loading of continuously graded thermoviscoplastic materials

Cites Work

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• A Second Look at the Higher-Order Theory for Periodic Multiphase Materials
• Adiabatic shearing of incompressible fluids with temperature-dependent viscosity
• Shearing of materials exhibiting thermal softening or temperature dependent viscosity
• Weak solutions to the initial-boundary value problem for the shearing of non-homogeneous thermoviscoplastic materials

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