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| A generalized Hill's lemma for gradient-enhanced Cosserat continuum |
| Received:April 26, 2010 Revised:December 18, 2010 |
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| DOI：10.7511/jslx20116001 |
| KeyWord:Hill's lemma Hill-Mandel condition Gradient-enhanced Cosserat continuum Average-field theory RVE boundary conditions |
| Author | Institution |
| 李锡夔 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 张俊波 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 张雪 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| Based on the Hill's lemma for classical Cauchy continuum, a generalized Hill's lemma for micro-macro homogenization modeling of gradient-enhanced Cosserat continuum is presented in the frame of the average-field theory. In the gradient-enhanced Cosserat continuum modeling not only the strain and stress tensors defined in classical Cosserat continuum but also their gradients at the macroscopic sampling point are attributed to associated micro-structural representative volume element (RVE). The admissible boundary conditions required to prescribe on the RVE in strong and/or weak forms for the modeling are discussed and given to ensure the satisfaction of the enhanced Hill-Mandel energy condition and the average-field theory. |