Abstract: The topology theory based on artificial material density is deeply analyzed. For solving the topology optimization prob-lems, a new optimization criteria based on artificial material density is deduced and used in the topology optimization. At the same time, an iteration procedure of topology optimization based on artifical material density is presented. A convolution integral factor method is introduced to eliminate the checkboard pattern and porous material in the topology optimization. The theory and algorithm are realized and verified with a numerical calculation, and the effect of different parameters to the topology optimization results is also discussed.

Key words: Convolution integral factor method, Artificial material density, Numerical calculation, optimization, Optimization criteria, Topology