Elasto-plastic Analysis of Plates using the Finite Element Method

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Report Number: AFFDL TR 71-160 p. 929-957
Author(s): Bergan, Pal G., Clough, Ray W.
Corporate Author(s): The Technical University of Norway, Trondheim, University of California, Berkeley
Date of Publication: 1973-12
Pages: 28
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Identifier: This paper is part of a conference proceedings. See AD0785968

The formulation of a general quadrilateral finite element accounting for inelastic material behavior is described. Both flexural and membrane behavior are considered. The flow theory of plasticity is adopted, and the material is assumed to obey the von Mises yield criterion and the isotropic hardening law. Elasto-plastic problems are generally very costly in computer time, and emphasis is placed on an efficient formulation of the element stiffness. A pure incremental technique is chosen for the numerical solution procedure. Results are presented for various types of flexural and membrane plate problems. These examples demonstrate that the present method exhibits a high degree of accuracy while being highly efficient. It is concluded that the element described here is among the most versatile and efficient elasto-plastic elements yet devised.

Provenance: Bombardier/Aero

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