A version of Hill's lemma for Cosserat continuum  

作　　者：Xikui Li Qipeng Liu 

机构地区：[1]The State Key Laboratory for Structural Analysis of Industrial Equipment, Dalian University of Technology, 116024 Dalian, China

出　　处：《Acta Mechanica Sinica》2009年第4期499-506,共8页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (90715011, 10672033 and 10590354); the National Key Basic Research and Development Program (2002CB412709); the Australia Research Council through the ARC International Fellowship Offered at University of Newcastle (LX0666274)

摘　　要：On the basis of Hill＇s lemma for classical Cauchy continuum, a version of Hill＇s lemma for micro-macro homogenization modeling of heterogeneous Cosserat continuum is presented in the flame of average-field theory. The admissible boundary conditions required to prescribe on the representative volume element for the modeling are extracted and discussed to ensure the satisfaction of Hill-Mandel energy condition and the first-order average field theory.On the basis of Hill＇s lemma for classical Cauchy continuum, a version of Hill＇s lemma for micro-macro homogenization modeling of heterogeneous Cosserat continuum is presented in the flame of average-field theory. The admissible boundary conditions required to prescribe on the representative volume element for the modeling are extracted and discussed to ensure the satisfaction of Hill-Mandel energy condition and the first-order average field theory.

关 键 词：Hill＇s lemma Hill-Mandel condition Cosserat continuum Average-field theory RVE boundary conditions 

分 类 号：O151.21[理学—数学] G256.22[理学—基础数学]