标题：A discrete-continuous parameterization (DCP) for concurrent optimization of structural topologies and continuous material orientations
作者：Luo, Yunfeng; Chen, Wenjiong; Liu, Shutian; Li, Quhao; Ma, Yaohui
作者机构：[Luo, Yunfeng; Chen, Wenjiong; Liu, Shutian; Ma, Yaohui] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China. 更多
通讯作者：Liu, Shutian;Liu, ST
通讯作者地址：[Liu, ST]Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China.
关键词：Fiber-reinforced material; Topology optimization; Continuous orientation; design; Local optimum solution
摘要：Combining topology optimization and continuous orientation design of fiber-reinforced composites is a promising way to pursue lighter and stronger structures. However, the concurrent design problem of structural topologies and continuous orientations is a tough topic due to the issue of local optimum solutions. This paper presents a new parameterization of orthotropic materials with continuous orientations, which is labeled as discrete-continuous parameterization (DCP), to handle this difficulty. The starting point of DCP is that the risk of falling into local optima will be much smaller if the search range of orientation variables can be greatly reduced. To do so, the searching interval of orientation is averagely divided into several subintervals. Then, the original continuous orientation optimization problem is changed to a discrete subinterval selection problem and a continuous orientation optimization problem in a subinterval. Based on this, the new DCP is proposed to model orthotropic materials with continuously varying orientations by combining both discrete and continuous variables. Finally, a new and general concurrent topology optimization method is built based on the proposed DCP and a three-field topology optimization scheme. Verification studies with several benchmark examples are provided to validate the effectiveness of the proposed approach.