A revision of results for standard models in elasto-perfect-plasticity theory
type: Item
instance of: scholarly article
title: A revision of results for standard models in elasto-perfect-plasticity theory
zbMATH Open document ID: 1398.74030
author: Miroslav Bulíček
author: Jens Frehse
published in: Calculus of Variations and Partial Differential Equations
publication date: 2018-05-25T00:00:00Z
review text: This article revolves around the theory of elasto-plasticity, in particular, the Hencky model and the Prandtl-Reuss model subjected to the von Mises condition. All estimates are proven for an approximative problem, the Perčina-Mises model. The integrability of the displacement and the velocity are improved. Moreover, the authors show the BMO estimates for the stress and the Morrey-like estimates for the plastic strain. These lead to a sharper identification of the plastic strain than that known up to date.
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6873446
zbMATH Keywords: Hencky model
zbMATH Keywords: Prandtl-Reuss model
zbMATH Keywords: plastic strain
zbMATH Keywords: von Mises condition
zbMATH Keywords: stress estimate
zbMATH Keywords: Perčina-Mises model
reviewed by: Adina Chirila
MaRDI profile type: Publication
full work available at URL: s00526-018-1322-1
OpenAlex ID: W2793996814
cites work: On the existence of the rates of stress and displacement for Prandtl-Reuss plasticity
cites work: On the extremal stress and displacement in Hencky plasticity
cites work: Existence of the displacements field for an elasto-plastic body subject to Hecky's law and von Mises yield condition
cites work: On the existence of the fields of stresses and displacements for an elasto-perfectly plastic body in static equilibrium
cites work: On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth
cites work: Q4284696
cites work: Quasistatic evolution problems for pressure-sensitive plastic materials
cites work: Singular limits in thermodynamics of viscous fluids
cites work: Fractional differentiability for the stress velocities to the solution of the Prandtl-Reuss problem
cites work: On Regularity of the Time Derivative for Degenerate Parabolic Systems
cites work: Variational methods for problems from plasticity theory and for generalized Newtonian fluids
cites work: Elastic plastic deformation
cites work: A generalized Norton-Hoff model and the Prandtl-Reuss law of plasticity
cites work: Q3998950
cites work: Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory
cites work: Two-dimensional variational problems of the theory of plasticity
cites work: Q4435487
cites work: Q3907169
Wikidata QID: Q130149268
DOI: 10.1007/S00526-018-1322-1
description: scientific article; zbMATH DE number 6873446