| 论有限变形梯度的和分解 |
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| 引用本文： | 钱曙复. 论有限变形梯度的和分解[J]. 同济大学学报(自然科学版), 1988, 0(3) |
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| 作者姓名： | 钱曙复 |
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| 作者单位： | 同济大学应用数学系 |
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| 摘 要： | 本文证明了有限变形梯度的和分解一般是不唯一的,当考虑尺规变换时,也只有在拖带坐标系由正交系变为正交系的特殊情形下才能对1+(?)实现唯一的和分解。
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| 关 键 词： | 有限变形梯度 正常-正交-张量 对称张量 和分解 尺规变换 |
On the Additive Decomposition of the Finite Deformation Gradient |
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| Qian Shufu,. On the Additive Decomposition of the Finite Deformation Gradient[J]. Journal of Tongji University(Natural Science), 1988, 0(3) |
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| Authors: | Qian Shufu |
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| Affiliation: | Department. of Applied Mathematics |
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| Abstract: | In this paper, we have shown that the additive decomposition of the finitedeformation gradient is not unique generally. When we consider the transfor-mation of the measure, only for a special casein which the co-moving systemis transformed from one orthogonal system, to another one the additive decom-position of I+~+A can be performed uniquely. |
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| Keywords: | Finite deformation-Gradient Proper-Orthogonal-Tensor Symmetric tensor Additive decomposition Transformation of the measure |
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