期刊
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
卷 30, 期 3, 页码 362-372出版社
ELSEVIER
DOI: 10.1016/j.euromechsol.2010.10.008
关键词
Gradient-enhanced Cosserat continuum; Hill's lemma; Hill-Mandel condition; Average-field theory; RVE boundary conditions
类别
资金
- National Natural Science Foundation of China [90715011, 11072046]
- National Key Basic Research and Development Program (973 Program) [2010CB731502]
Based on the Hill's lemma for classical Cauchy continuum, a generalized Hill's lemma for micro-macro homogenization modeling of heterogeneous gradient-enhanced Cosserat continuum is presented in the frame of the average-field theory. In this context not only the strain and stress tensors defined in classical Cosserat continuum but also their gradients at each macroscopic sampling point are attributed to associated microstructural representative volume element (RVE). The admissible boundary conditions required to prescribe on the RVE for the modeling are extracted as a corollary of the presented generalized Hill's lemma and discussed to ensure the satisfaction of the enhanced Hill-Mandel energy condition and the average-field theory. (C) 2010 Elsevier Masson SAS. All rights reserved.
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