A quasistatic evolution model for perfectly plastic plates derived by ¦£-convergence

详细信息    查看全文

• 作者：Elisa Davoli ; Maria Giovanna Mora
• 关键词：74C05 ; 74G65 ; 74K20 ; 49J45
• 刊名：Annales de l'Institut Henri Poincare (C) Non Linear Analysis
• 出版年：2013
• 出版时间：July-August, 2013
• 年：2013
• 卷：30
• 期：4
• 页码：615-660
• 全文大小：529 K

文摘

The subject of this paper is the rigorous derivation of a quasistatic evolution model for a linearly elastic-perfectly plastic thin plate. As the thickness of the plate tends to zero, we prove via ¦£-convergence techniques that solutions to the three-dimensional quasistatic evolution problem of Prandtl-Reuss elastoplasticity converge to a quasistatic evolution of a suitable reduced model. In this limiting model the admissible displacements are of Kirchhoff-Love type and the stretching and bending components of the stress are coupled through a plastic flow rule. Some equivalent formulations of the limiting problem in rate form are derived, together with some two-dimensional characterizations for suitable choices of the data.