基于Cosserat理论的微观结构对非均质材料有效性能的影响分析  

Analysis on impact of microstructure on effective properties of heterogeneous material based on Cosserat theory

作　　者：赵勇[1] 张若京[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《计算机辅助工程》2010年第2期16-19,共4页Computer Aided Engineering

基　　金：国家自然科学基金(10772136);高等学校博士学科点专项基金(20060247016);上海市重点学科建设项目(B302)

摘　　要：为更有效地研究具有周期性微观结构的非均质材料平面应变问题,用基于Cosserat理论的渐进均匀化方法得到微观结构对非均质材料有效性能的影响情况.计算结果表明,单胞内夹杂体的形状对有效杨氏弹性模量、有效泊松比、有效Cosserat弹性常数和有效材料特征长度有影响,并且随着夹杂体与单胞体积比的增大而影响明显.As to the plane strain problem of heterogeneous material with periodic microstructure, the asymptotic homogenization method based on Cosserat theory is used to obtain the impact of microstructure on effective properties of heterogeneous material. The computation results indicate that the shape of inclusion in cell has impact on effective Young＇ s modulus of elasticity, effective Poisson ratio, effective Cosserat elastic constant and effective material characteristic length. With the increase of the ratio of inclusion volume to cell volume, the impact of microstructure on effective properties is greater and greater.

关 键 词：COSSERAT理论 非均质材料 渐近均匀化方法 有效性能 

分 类 号：O345[理学—固体力学]