Finite element shakedown analysis of two-dimensional structures

摘要

In the present paper, the formulation proposed by Casciaro and Garcea (Comput. Meth. Appl. Mech. Eng., 2002; 191:5761-5792) and applied to the shakedown analysis of plane frames, is extended to the analysis of two-dimensional flat structures in both the cases of plane-stress and plane-strain. The discrete formulation is obtained using a mixed finite element in which both stress and displacement fields are interpolated. The material is assumed to be elasto-plastic and a linearization of the elastic domain is performed. The result is a versatile iterative scheme well suited to implementation in general purpose FEM codes. An extensive series of numerical tests is presented showing the reliability of the proposed formulation. Copyright (c) 2005 John Wiley & Sons, Ltd.