Numerical Computation of Stresses, Strains and Displacements in the Thin Plates in Plastic Range

DS 30: Proceedings of DESIGN 2002, the 7th International Design Conference, Dubrovnik

Year: 2002
Editor: Marjanovic D.
Author: Pustaic, D.
Section: Analysis Technologies
Page(s): 1245-1254


An incremental formulation of the basic equations of the finite element method is described in this paper. These basic equations are used in stress and strain analysis in structures in which plastic strains have occurred. The elasto-plastic matrix was formed for the case of plane stress. The dependence between incremental stress vector and incremental elastic-plastic strain vector is established through the matrix . In order to illustrate a numerical procedure, a discretization of a plate quarter was performed on triangular finite elements and on isoparametric quadrilateral ones. The stress fields were computed in elastic-plastic range. The plastic zones spreading around discontinuities are also represented.

Keywords: Finite Element Method, Matrix formulation, Numerical modelling, Plasticity, Thin plate, modelling of


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