On strong solutions of viscoplasticity without safe-load conditions
DOI10.1016/j.jde.2020.01.035zbMath1437.35657OpenAlexW3003381899MaRDI QIDQ2180550
Krzysztof Chełmiński, Konrad Kisiel
Publication date: 14 May 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.01.035
mixed boundary conditionsviscoplasticityinelastic deformation theoryYosida approximationpointwise solutionssafe-load conditions
Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamical poroplasticity model with mixed boundary conditions -- theory for \(\mathcal{LM}\)-type nonlinearity
- Dynamical poroplasticity model -- existence theory for gradient type nonlinearities with Lipschitz perturbations
- Hyperbolic structure for a simplified model of dynamical perfect plasticity
- Existence of a solution to a non-monotone dynamic model in poroplasticity with mixed boundary conditions
- Constitutive equations for cyclic plasticity and cyclic viscoplasticity
- Nonlinear quasistatic problems of gradient type in inelastic deformations theory
- Functions of bounded deformation
- A viscoplastic theory with thermodynamic considerations
- Existence theorems for plasticity problems
- A constitutive model for the deformation induced anisotropic plastic flow of metals
- Coercive limits for constitutive equations of monotone-gradient type
- Materials with memory. Initial-boundary value problems for constitutive equations with internal variables
- A generalized Norton-Hoff model and the Prandtl-Reuss law of plasticity
- Dynamical evolution of elasto-perfectly plastic bodies
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- On singular limits to Bodner-Partom model
- Perfect Plasticity with Damage and Healing at Small Strains, Its Modeling, Analysis, and Computer Implementation
- Evolution problems for a class of dissipative materials
- Quasistatic Problems in Viscoplasticity Theory I: Models with Linear Hardening
- Global existence of weak-type solutions for models of monotone type in the theory of inelastic deformations
- Approximation of dynamic and quasi-static evolution problems in elasto-plasticity by cap models
- Convergence of coercive approximations for strictly monotone quasistatic models in inelastic deformation theory
- Convergence of coercive approximations for a model of gradient type in poroplasticity
- Nonlinear problems in inelastic deformation theory
- Recent Developments in the Mathematical Theory of Plasticity