Numerical methods for the topology optimization of structures that exhibit snap-through

The inclusion of non-linear elastic analyses into the topology optimization problem is necessary to capture the finite deformation response, e.g. the geometric non-linear response of compliant mechanisms. In previous work, the non-linear response is computed by standard non-linear elastic finite element analysis. Here, we incorporate a load-displacement constraint method to traverse non-linear equilibrium paths with limit points to design structures that exhibit snap-through behaviour. To accomplish this, we modify the basic arc length algorithm and embed this analysis into the topology optimization problem. Copyright (C) 2002 John Wiley Sons, Ltd.