Abstract:To solve the problem of multiple materials layout or material and structural system optimization, a new bi-directional evolutionary structural optimization method utilizing material interpolation scheme with penalization is proposed in this paper. Several classic examples are shown that the present BESO method can be used for the multiple materials layout or material and structural system optimization which the traditional BESO can not be solved. Number of practical significance conclusions are given by the important parameters researched. Computer program software for the new BESO program is built on the FEA software of ABAQUS and the post-processor package in MATLAB. This program is easy to use for engineers who may not be familiar with either FEA and structure optimization. And the developer can give a deep research on the algorithm by change the MATLAB.