Strain gradient visco-plasticity with dislocation densities contributing to the energy
From MaRDI portal
Publication:4595054
DOI10.1142/S0218202517500531zbMath1386.74034arXiv1704.05326OpenAlexW2950527558MaRDI QIDQ4595054
Publication date: 28 November 2017
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.05326
Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (7)
Existence results for a morphoelastic model ⋮ Well-posedness of a one-dimensional nonlinear kinematic hardening model ⋮ Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4--10, 2018 ⋮ A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy ⋮ A global div-curl-lemma for mixed boundary conditions in weak Lipschitz domains and a corresponding generalized \(A_0^*\)-\(A_1\)-lemma in Hilbert spaces ⋮ Quasistatic evolution for dislocation-free finite plasticity
Cites Work
- Unnamed Item
- Unnamed Item
- Globally stable quasistatic evolution for strain gradient plasticity coupled with damage
- Finite element approximation of the Navier-Stokes equations
- Strain incompatibility in single crystals: Kröner's formula revisited
- Global existence for rate-independent gradient plasticity at finite strain
- A comparison of dislocation-induced back stress formulations in strain gradient crystal plasticity
- Two-phase flow equations with outflow boundary conditions in the hydrophobic-hydrophilic case
- Gradient theory for plasticity via homogenization of discrete dislocations
- Compact sets in the space \(L^ p(0,T;B)\)
- Plasticity. Mathematical theory and numerical analysis
- Materials with memory. Initial-boundary value problems for constitutive equations with internal variables
- On the continuum formulation of higher-gradient plasticity for single and polycrystals
- A theory of subgrain dislocation structures
- Global existence results for viscoplasticity at finite strain
- On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma
- Dislocation microstructures and the effective behavior of single crystals
- Nonsmooth analysis of doubly nonlinear evolution equations
- A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
- The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions
- Well-Posedness for Dislocation Based Gradient Viscoplasticity I: Subdifferential Case
- Variational Analysis in Sobolev and BV Spaces
- Gradient flows of non convex functionals in Hilbert spaces and applications
- On A Class Of Doubly Nonlinear Evolution Equations
- 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
- A Critical Revisiting of Finite Elasto-Plasticity
- Lower semicontinuity and existence of minimizers in incremental finite‐strain elastoplasticity
- Partial differential equations. An application-oriented introduction
- Nonlinear partial differential equations with applications
This page was built for publication: Strain gradient visco-plasticity with dislocation densities contributing to the energy