Homogenization for dislocation based gradient visco-plasticity
From MaRDI portal
Publication:486545
DOI10.1016/j.jmaa.2014.10.056zbMath1311.74102OpenAlexW2078591947MaRDI QIDQ486545
Publication date: 16 January 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.056
homogenizationdislocationsgradient plasticityperiodic unfoldingKorn's inequalityrate-dependent models
Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)
Related Items (2)
Mathematical homogenization of inelastic dissipative materials: a survey and recent progress ⋮ Well-posedness for dislocation based gradient visco-plasticity with isotropic hardening
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness for dislocation-based gradient viscoplasticity. II: General nonassociative monotone plastic flows
- Homogenization of the Prager model in one-dimensional plasticity
- Size effects in phenomenological strain gradient plasticity constitutively involving the plastic spin
- A canonical extension of Korn's first inequality to H(Curl) motivated by gradient plasticity with plastic spin
- Periodic homogenization for convex functionals using Mosco convergence
- Convex functions, monotone operators and differentiability.
- Some remarks on two-scale convergence and periodic unfolding.
- Global existence for rate-independent gradient plasticity at finite strain
- Homogenization of nonlinear visco-elastic composites
- Global Div-Curl lemma on bounded domains in \(\mathbb R^3\)
- Convex analysis and measurable multifunctions
- Plasticity. Mathematical theory and numerical analysis
- Materials with memory. Initial-boundary value problems for constitutive equations with internal variables
- Evolving microstructure and homogenization
- Periodic unfolding and homogenization
- Bounds and estimates for the effect of strain gradients upon the effective plastic properties of an isotropic two-phase composite
- On the Fleck and Willis homogenization procedure in strain gradient plasticity
- On a canonical extension of Korn's first and Poincaré's inequalities to \(\mathsf{H}(\mathrm{Curl})\)
- Periodic homogenization of monotone multivalued operators
- A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
- Well-posedness of a model of strain gradient plasticity for plastically irrotational materials
- Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector
- An adaptation of the multi-scale methods for the analysis of very thin reticulated structures
- Well-Posedness for Dislocation Based Gradient Viscoplasticity I: Subdifferential Case
- The Periodic Unfolding Method in Domains with Holes
- Modification of unfolding approach to two-scale convergence
- HOMOGENIZATION IN GRADIENT PLASTICITY
- Two-scale homogenization for a model in strain gradient plasticity
- Maxwell meets Korn: A new coercive inequality for tensor fields in RN×N with square-integrable exterior derivative
- On constitutive and configurational aspects of models for gradient continua with microstructure
- $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains
- Energetic approach to gradient plasticity
- Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
- Homogenization of the nonlinear Maxwell model of viscoelasticity and of the Prandtl—Reuss model of elastoplasticity
- Numerical approximation of incremental infinitesimal gradient plasticity
- NOTES ON STRAIN GRADIENT PLASTICITY: FINITE STRAIN COVARIANT MODELLING AND GLOBAL EXISTENCE IN THE INFINITESIMAL RATE-INDEPENDENT CASE
- Quasi-static Evolution for a Model in Strain Gradient Plasticity
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Homogénéisation d'un circuit électrique
- Two-scale convergence for nonlinear Dirichlet problems in perforated domains
- Justification of Homogenized Models for Viscoplastic Bodies with Microstructure
- Existence and Uniqueness for Rate-Independent Infinitesimal Gradient Plasticity with Isotropic Hardening and Plastic Spin
- Homogenization of rate-dependent inelastic models of monotone type
- The Periodic Unfolding Method in Homogenization
- Uniqueness of Strong Solutions in Infinitesimal Perfect Gradient-Plasticity with Plastic Spin
- Homogenization in Viscoplasticity
- Two-Scale Homogenization for Evolutionary Variational Inequalities via the Energetic Formulation
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Nonlinear partial differential equations with applications
This page was built for publication: Homogenization for dislocation based gradient visco-plasticity
