基于单胞(GMC)模型的韧性复合材料极限分析  

PLASTIC LIMIT ANALYSIS OF HETEROGENEOUS MATERIALS BY GMC

作　　者：常晓环[1] 张宏涛[1] 刘应华[1] 徐秉业[1] 

机构地区：[1]清华大学工程力学系,北京100084

出　　处：《工程力学》2006年第12期9-13,共5页Engineering Mechanics

基　　金：国家自然科学基金资助项目(19902007);全国优秀博士论文专项基金(200025);国家"十五"重点科技攻关子课题(2001BA803B03-05)

摘　　要：本文将细观力学中的单胞(GMC)模型运用到塑性力学的静力极限分析中,研究韧性复合材料的塑性极限承载能力。从反映复合材料细观结构的代表性胞元入手,通过宏观强度域的概念建立了单胞极限载荷的计算格式,最终将上述问题归结为求解一组带约束的非线性数学规划问题,并采用序列二次规划法进行了求解。算例结果表明,本文方法为复合材料的强度分析提供了一个有效手段。By introducing the generalized method of cells （GMC） into plastic limit analysis, the bearing capacity of ductile composites is studied. To reflect the microstructures of a composite, a representative volume element （REV） is first selected. A strategy for the direct computation of the limit load of a REV is then proposed with the concept of macroscopic strength domain. By means of static limit approach and finite element method, the numerical modeling of the plastic limit analysis of a composite is formulated as a nonlinear mathematical programming with constraint conditions, which can be solved by the sequential quadratic programming （SQP） method. Numerical results show that this method presents an effective tool for the strength analysis of ductile composites.

关 键 词：固体力学 韧性复合材料 细观力学 单胞(GMC)模型 极限强度 

分 类 号：O344.5[理学—固体力学]