摘要
提出复合材料扭转轴截面微结构拓扑优化设计新模型,模型的优化目标是获得具有最大宏观剪切特性加权和的单胞形式.通过模型和均匀化方法及优化技术可以获得优化的微结构单胞,进而改善或者得到最优宏观弹性特性的复合材料.为了便于制造和应用,胞体材料用来获得复合材料的极值剪切模量.最后的优化结果表明,该模型连同数值处理技巧可以非常有效地实现微结构的拓扑优化设计.
One computational model for topology optimization of periodic microstructures of cross-section of composite torsional shafts is presented in this paper. The new model addresses the problem of finding the optimal representative microstructural element that maximizes linear combination of the equivalent shear properties. Optimal microstructure obtained through the new models and homogenization method can be used to improve and optimize naturally occurring or man-made materials. In order to be more practical for engineering applications, cellular materials rather than ranked material are used in optimal process in the existence of optimal bounds for the elastic properties. The final optimal results show that the approach with the numerical technique are very effective in obtaining composite with extremal constitutive properties.
出处
《力学学报》
EI
CSCD
北大核心
2003年第1期39-42,共4页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(10102018)
安徽省基金联合资助.
