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采用逆均匀化方法优化设计具有特定性能的材料的微结构时,初始设计的选择和优化迭代算法的收敛相当困难.在人工培养晶体时,常常放入籽晶以加速晶体的生长.论文模拟这一物理过程,提出了构造初始设计的晶核法.在描写晶核法后,讨论了算法中的几个问题,包括采用SIMP模型时弹性模量插值中幂指数的取值,晶核法密度过滤影响域的选取方法,晶核位置对指定性能材料设计优化微结构的影响,指定性能材料设计时目标函数的选取方式.从晶核法构造的初始设计出发,结合上列方法,对指定性能和极值性能材料的设计,给出了多个算例,表明了本文方法的有效性.
When using the inverse homogenization method to optimize the microstructure of a material with specific properties, it is quite difficult to select the initial design and to optimize the convergence of the iterative algorithm.When artificial growth of the crystal, seeds are often placed to accelerate the growth of the crystal. A physical process is proposed to construct the initial design of the crystal nucleus method.After the description of the crystal nucleus method, several problems in the algorithm are discussed, including the value of exponent of elastic modulus interpolation in SIMP model, nucleation density The influence of the location of crystal nucleus on the design of microstructures for the design of performance materials, and the selection of the objective function for the design of performance materials.According to the initial design of the crystal structure and the above methods, And the design of extremal performance materials, a number of examples are given, which shows the effectiveness of the proposed method.