The quasi-static evolution of an elastoplastic body with a multi-surface constitutive law of linear kinematic hardening type allows the modeling of curved stress-strain relations. It generalizes classical small-strain elastoplasticity from one to various plastic phases. This paper presents the mathematical models and proves existence and uniqueness of the solution of the corresponding initial-b...

We formulate a large-strain model of single-slip crystal elastoplasticity in the framework energetic solutions. The numerical performance is compared with laboratory experiments on compression stack papers.

Abstract-In this paper, some recent works of the authors, in the area of the field-boundary element method for finite/small strain elastoplasticity [Okada, Rajiyah and Atluri (1988a) J. Appl. Mech. 55, 786-794; (1988b) Comput. Strucr. 30,275-288; (1989) Comput. Mech. 4, 165-175; (1990) Inr. 1. Numer. Meth. Engrtg 29, 15-351, are summarized. Certain new integral representations for displacement ...

The initial boundary value problem of quasistatic elastoplasticity is considered here, as a vari-ational inequality and equation in the displacement and stress. A variational inequality for the stress only may be obtained by eliminating the displacement. Semidiscrete approximations of the stress problem and fully discrete nite element approximations of the full problem are considered, under ass...