点击次数：

发表时间：2009-01-01

发表刊物：固体力学学报

所属单位：运载工程与力学学部

期号：3

页面范围：236-243

ISSN号：0254-7805

摘要：Conventional topology optimization is based on the classical continuum mechanics that can not explain the scale effect due to the non-homogeneity of material since it does not include the scale parameters of materials. The purpose of this paper is to generate the conventional SIMP topology optimization technique to the orthotropic and isotropic couple-stress continuum using a new finite element formulation. A 4-noded quadrilateral discrete couple-stress element is formulated based on the discrete couple-stress technique in order to overcome the difficulty of C1 continuity. It is found that the optimal topologies of couple-stress continuum show remarkable scale effect while the corresponding conventional ones show no scale effect. The optimal results show that the present structures approach to the conventional truss structures when the ratio of the macroscopic structures size to that of the microstructures (or the material characteristic length) is large enough, while special couple-stress-governed structures emerge when the ratio is small.

备注：新增回溯数据