Topology optimization with CAMD for structures undergoing finite deformation

Abstract

A new method for topology optimization (CAMD method) is extended to the stiffness design problem of a structure undergoing finite deformation. In this methodology, the continuous distribution of microstructures, or equivalently, design variables, is approximated using the nodal design variables and standard shape functions, in the context of FE discretization. After summarizing the basic settings for the finite deformation stiffness optimization problem and the CAMD method, we formulate a stiffness design problem for nonlinear solids. A representative numerical example is presented to show the validity and efficiency of the proposed method. In particular, we clarified the mechanism that generates optimal structures while inhibiting structural instabilities such as snap-through. © 2006 Springer.