Optimal Design of a Two-Dimensional Structure Subjected to a Plastic Deformation. 1st Report. Formulation.

Abstract

We presented an algorithm for shape and topology optimization of two-dimensional structures subjected to a plastic deformation. This algorithm is based on the generalized layout optimization method proposed by Bens φe and Kikuchi in 1988, where a prescribed amount of material is distributed in a given domain so that the work done by applied loads may be minimized. In the present algorithm, a given domain is assumed to be composed of microstructures with a regular triangular cavity, and the rotation angles and cavity sizes of the microstructure are taken as design variables. A material database of microstructures taking into consideration in the effect of plastification for various design variables is made to enable an elastoplastic analysis and a sensitivity analysis of porous material. The accuracy of the elastoplastic analysis using the database is confirmed through a numerical example.