| 连续介质力学中变形梯度张量客观性表述的分歧 |
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| 引用本文： | 楚锡华,徐远杰. 连续介质力学中变形梯度张量客观性表述的分歧[J]. 固体力学学报, 2011, 0(Z1) |
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| 作者姓名： | 楚锡华 徐远杰 |
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| 作者单位： | 武汉大学工程力学系; |
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| 基金项目： | 国家自然科学基金项目(10802060); 国家重点基础研究发展规划(973)项目(2011CB731502)资助 |
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| 摘 要： | 张量的客观性是连续介质力学中一个重要的概念,但现有文献对张量客观性的定义不一致导致有关变形梯度张量客观性的表述存在分歧.本文主要基于张量的逆及功共轭角度分析了不同客观性定义的差别,旨在加深对张量客观性,特别是对变形梯度等两点张量客观性的认识.
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| 关 键 词： | 客观性 一点张量 两点张量 变形梯度 功共轭 |
THE DIFFERENT STATES OF OBJECTIVITY OF DEFORMATION TENSOR IN CONTINUUM MECHANICS |
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| Xihua Chu Yuanjie Xu. THE DIFFERENT STATES OF OBJECTIVITY OF DEFORMATION TENSOR IN CONTINUUM MECHANICS[J]. Acta Mechnica Solida Sinica, 2011, 0(Z1) |
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| Authors: | Xihua Chu Yuanjie Xu |
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| Affiliation: | Xihua Chu Yuanjie Xu(Department of Engineering Mechanics,Wuhan University,Wuhan,430072) |
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| Abstract: | The objectivity of tensor is important concepts in continuum mechanics,however there are two distinct views about objectivity of deformation tensor owing to different definitions of objectivity.From perspective of the inverse of tensor and work conjunction,the difference among these definitions of objectivity is analyzed for enhancing the understanding of objectivity of tensor,especially,of the two point tensor,such as deformation tensor. |
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| Keywords: | objectivity one-point tensor two-point tensor deformation gradient work conjunction |
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