バイリニア弾塑性モデルに基づくレベルセット型トポロジー最適化解析

抄録

This paper describes a level-set based topology optimization for bi-linear elasto-plastic problems. We use a topology optimization method that combines the level set method and the phase field method, where the geometric complexity is controlled by the value of the regularization factor τ. This study aims to improve the performance of structural design by applying this method in both weight reduction and productivity to bilinear elasto-plastic models. The focus of this paper is to obtain high performance geometry by simple elasto-plastic analysis, and a bilinear elasto-plastic model with yield stress as a boundary is used. In numerical experiments, the effect of Young's modulus in plastic region on the final topology in bilinear elasto-plastic model was investigated using a 2D three-point bending test model. As a result, different generated geometries were obtained by setting the value of Young's modulus in plastic region in the elasto-plastic analysis. A geometry that supports the load application area was obtained when the Young's modulus of the plastic region in the elasto-plastic analysis was small. However, when the Young's modulus of the plastic region was increased, reduce this tendency. Since Young's modulus after plasticity has a significant effect on the generated geometry, it is necessary to set an appropriate value for the purpose.