A Mathematical Framework for Generalized Standard Materials in the Rate-Independent Case

DOI10.1007/978-3-540-34961-7_12zbMath1298.74006OpenAlexW36065496MaRDI QIDQ2928061

Alexander Mielke

Publication date: 6 November 2014

Published in: Multifield Problems in Solid and Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-34961-7_12

zbMATH Keywords

relaxationpiezoelectricityrate independencemagnetostrictionGamma convergenceenergetic formulationshape-memory material

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Electromagnetic effects in solid mechanics (74F15) Theory of constitutive functions in solid mechanics (74A20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

Formulation of thermoelastic dissipative material behavior using GENERIC ⋮ Approximation in multiscale modelling of microstructure evolution in shape-memory alloys ⋮ Variational formulation and stability analysis of a three dimensional superelastic model for shape memory alloys ⋮ Bayesian inversion for unified ductile phase-field fracture ⋮ Nonsmooth analysis of doubly nonlinear evolution equations ⋮ On the micromechanics of deep material networks ⋮ Energetic formulation for rate-independent processes: remarks on discontinuous evolutions with a simple example ⋮ Existence and Uniqueness for Rate-Independent Infinitesimal Gradient Plasticity with Isotropic Hardening and Plastic Spin ⋮ \(\Gamma\)-limits and relaxations for rate-independent evolutionary problems ⋮ Anisotropic elastoplastic phase field fracture modeling of 3D printed materials ⋮ Thermodynamics of shape-memory alloys under electric current ⋮ Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation ⋮ Interior-point methods for the phase-field approach to brittle and ductile fracture ⋮ Quasistatic evolution of magnetoelastic plates via dimension reduction ⋮ Complementarity framework for non-linear dynamic analysis of skeletal structures with softening plastic hinges

This page was built for publication: A Mathematical Framework for Generalized Standard Materials in the Rate-Independent Case