Stochastic homogenization of a scalar viscoelastic model exhibiting stress–strain hysteresis

DOI10.1051/m2an/2019081zbMath1434.74093arXiv1802.05549OpenAlexW2991635246MaRDI QIDQ5108961

Tony Lelièvre, Thomas Hudson, Frédéric Legoll

Publication date: 7 May 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05549

zbMATH Keywords

hysteresisviscoelasticitystochastic homogenizationnonlinear time-dependent PDEs

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (1)

Homogenization of the linearized ionic transport equations in random porous media

Uses Software

• Julia

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constitutive approach to rate-independent properties of filled elastomers
• Loss of polyconvexity by homogenization
• Differential models of hysteresis
• Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation
• Stochastic homogenization of rate-independent systems and applications
• Memory effects and homogenization
• Non-periodic homogenization of infinitesimal strain plasticity equations
• Julia: A Fresh Approach to Numerical Computing
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Convex Analysis
• Nonlinear partial differential equations with applications
• Convex analysis and monotone operator theory in Hilbert spaces
• Direct methods in the calculus of variations

This page was built for publication: Stochastic homogenization of a scalar viscoelastic model exhibiting stress–strain hysteresis