Prandtl-Reuss dynamical elasto-perfect plasticity without safe-load conditions
DOI10.1016/j.na.2019.111678zbMath1437.35656OpenAlexW2986897455WikidataQ126865809 ScholiaQ126865809MaRDI QIDQ1985797
Konrad Kisiel, Krzysztof Chełmiński
Publication date: 7 April 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2019.111678
mixed boundary conditionsYosida approximationperfect plasticityPrandtl-Reuss modelsafe-load condition
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)
Related Items
Cites Work
- 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
- Functions of bounded deformation
- Existence theorems for plasticity problems
- A constitutive model for the deformation induced anisotropic plastic flow of metals
- 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
- The Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- On singular limits to Bodner-Partom model
- 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
- Recent Developments in the Mathematical Theory of Plasticity
