Prandtl–Reuss dynamical elasto-perfect plasticity without safe-load conditions. (March 2020)

• Record Type: Journal Article
• Authors: Kisiel, Konrad; Chełmiński, Krzysztof
• Is Part Of: Nonlinear analysis. Volume 192(2020)
• Publication Date: 2020-03
• Subjects: 35Q74 -- 74C05 -- 74H20; Prandtl–Reuss model -- Yosida approximation -- Perfect plasticity -- Safe-load condition -- Mixed boundary conditions; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.111678
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this article we study the existence theory to the Prandtl–Reuss dynamical model of elasto-perfect plasticity with non-homogeneous mixed boundary conditions. By using only the Yosida approximation of inelastic constitutive multifunction we are able to prove the existence of solutions without assuming any kind of safe-load conditions, which are quite common in the theory of elasto-perfect plasticity.