Decomposition of symmetric tensor and its application |
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Authors: | Wang Min-zhong |
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Institution: | (1) Department of Mechanics, Peking University, Beijing |
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Abstract: | In this paper any symmetric tensor is decomposed into the sum of two tensors. One of them is a type of stress tensor, and another is a type of strain tensor. The inner product space of symmetric tensor is decomposed into the sum of two orthogonal subspaces. The geometric meaning of several principles in the theory of elasticity is given. |
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