摘要
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 designing material with specified properties using the method of inverse homogenization,it is difficult to determine the initial density distribution of design domain and make the optimization algorithm to converge.Crystallon usually is used to accelerate crystal＇s growth when making cultured crystal.Inspired from this physical process,a new method called as crystal nucleus method was proposed to determine the initial density distribution.After description on the conception of crystal nucleus method,some issues about this method were discussed in detail.These issues included how to determine the value of power exponent in SIMP model,how to select the filtering domain,the influences of the position of crystal nucleus and the type of objective function on the optimal microstructrure of material with specified properties.Several examples of material design with described and extreme properties validated the effectiveness of crystal nucleus method.
出处
《固体力学学报》
CAS
CSCD
北大核心
2010年第4期369-378,共10页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金重大研究计划重点项目(90816025)
"973"国家重点基础研究发展计划项目(2009CB724303)资助
关键词
材料设计
逆均匀化
晶核法
密度幂指数
material design
inverse homogenization
crystal nucleus method
density power exponent
