Checkerboard and minimum member size control in topology optimization

Checkerboard-like material distributions are frequently encountered in topo logy optimization of continuum structures, especially when first order fini te elements are used. It has been shown that this phenomenon is caused by e rrors in the finite element formulation. Minimum member size control is clo sely related to the problem of mesh dependency of solutions in topology opt imization. With increasing mesh density, the solution of a broad class of p roblems tends to form an increasing number of members with decreasing size. Different approaches have been developed in recent years to overcome these numerical difficulties. However, limitations exist for those methods, eith er in generality or in efficiency. In this paper, a new algorithm for check erboard and direct minimum member size control has been developed that is a pplicable to the general problem formulation involving multiple constraints . This method is implemented in the commercial software Altair OptiStruct.