Comparisons between algorithms for structural topology optimization using a series of benchmark studies

Using a series of benchmark studies this paper compares algorithms for stru ctural topology optimization based on (i) the artificial material model and (ii) a special microstructure with square voids. The new 'constrained adap tive topology optimization' or CATO algorithm combines ideas from the two m ain groups of procedures which have emerged in topology optimization: the m ore mathematically rigorous homogenization or h-methods and the more intuit ive evolutionary or e-methods. The CATO algorithm is compared with an algor ithm which is a development of an h-method which uses an artificial materia l model as well as a variation of the original classic microcell model. The discriminating benchmark problems are selected to determine the robustness of the two methods with respect to (a) discretization aspects such as fini te element mesh refinement and mesh distortion (b) solution parameters such as nonuniform starting density distributions. (C) 2001 Elsevier Science Lt d. All rights reserved.