Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: the limiting regimes
DOI10.1515/ACV-2023-0020MaRDI QIDQ6623274
Marin Bužančić, Igor Velčić, Elisa Davoli
Publication date: 23 October 2024
Published in: Advances in the Calculus of Variations (Search for Journal in Brave)
dimension reductionperiodic homogenizationquasistatic evolutionperfect plasticityrate-independent processes\( \Gamma \)-convergence
Plates (74K20) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Cites Work
- Title not available (Why is that?)
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- Derivation of a homogenized nonlinear plate theory from 3d elasticity
- Fonctions à hessien borné
- Rigorous derivation of a plate theory in linear elastoplasticity via \(\Gamma\)-convergence
- Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
- Dual spaces of stresses and strains, with applications to Hencky plasticity
- Stress regularity for a new quasistatic evolution model of perfectly plastic plates
- Approximation of free-discontinuity problems
- Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation
- On the Fleck and Willis homogenization procedure in strain gradient plasticity
- Homogenization in BV of a model for layered composites in finite crystal plasticity
- On static and evolutionary homogenization in crystal plasticity for stratified composites
- Spectral and evolution analysis of composite elastic plates with high contrast
- Asymptotic rigidity of layered structures and its application in homogenization theory
- On the trace operator for functions of bounded \(\mathbb{A} \)-variation
- On the derivation of homogenized bending plate model
- On the simultaneous homogenization and dimension reduction in elasticity and locality of \(\varGamma\)-closure
- Homogenization of layered materials with rigid components in single-slip finite crystal plasticity
- Existence and regularity of solutions for an evolution model of perfectly plastic plates
- On periodic homogenization in perfect elasto-plasticity
- A quasistatic evolution model for perfectly plastic plates derived by \(\varGamma\)-convergence
- \(\Gamma\)-limits and relaxations for rate-independent evolutionary problems
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- Sublinear functions of measures and variational integrals
- Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
- Non-periodic homogenization of infinitesimal strain plasticity equations
- A dynamic evolution model for perfectly plastic plates
- Derivation of a homogenized von-Kármán plate theory from \(3d\) nonlinear elasticity
- Small-strain heterogeneous elastoplasticity revisited
- HOMOGENIZATION IN GRADIENT PLASTICITY
- Two-scale homogenization for a model in strain gradient plasticity
- AN EVOLUTIONARY ELASTOPLASTIC PLATE MODEL DERIVED VIA Γ-CONVERGENCE
- Stochastic homogenization of plasticity equations
- Thin elastic and periodic plates
- Homogenization Limits of the Equations of Elasticity in Thin Domains
- Multiscale homogenization in Kirchhoff's nonlinear plate theory
- Quasistatic evolution models for thin plates arising as low energy Γ-limits of finite plasticity
- Linearized plastic plate models asΓ-limits of 3D finite elastoplasticity
- Bending of thin periodic plates
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