| 李锡夔,张俊波,张雪.梯度增强Cosserat连续体的广义Hill定理[J].计算力学学报,2011,28(6):813~820,832 |
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| 梯度增强Cosserat连续体的广义Hill定理 |
| A generalized Hill's lemma for gradient-enhanced Cosserat continuum |
| 投稿时间：2010-04-26 修订日期：2010-12-18 |
| DOI：10.7511/jslx20116001 |
| 中文关键词: Hill定理 Hill-Mandel条件 梯度增强Cosserat连续体 平均场理论 RVE边界条件 |
| 英文关键词:Hill's lemma Hill-Mandel condition Gradient-enhanced Cosserat continuum Average-field theory RVE boundary conditions |
| 基金项目:国家自然科学基金(90715011,10672033);国家973(2010CB731502)资助项目. |
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| 中文摘要: |
| 基于经典Cauchy连续体的Hill定理,在平均场理论的框架下导出了梯度增强Cosserat连续体细、宏观均匀化方法的广义Hill定理。在梯度增强Cosserat连续体中,不仅宏观样条点上的应变和应力张量,而且它们的梯度均作用于与该样条点相关联的细观表征元(RVE)。依据此广义Hill定理,对梯度增强Cosserat连续体表征元提出了满足Hill-Mandel能量等价条件和平均场理论的强形式及弱形式边界条件。 |
| 英文摘要: |
| 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. |
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