Elastic Deformation of Inhomogeneous Materials Including Polycrystals under Multi-Axial Stress : I. Constraint ratio under multi-axial stress
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概要
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Elastic deformation of inhomogeneous materials such as polycrystals under multi-axial stress is investigated. To study deformation behaviour of inhomogeneous materials, the idea of constraint ratio proposed previously is used. Besides constraint ratio defined with strain, constraint ratio defined with stress is introduced and the relation between them is discussed. Constraint ratio is also defined for general multi-axial stress state. Several models of inhomogeneity, e.g., polycrystals and materials with inclusions are introduced and numerical calculation of constraint ratio under biaxial or multi-axial stress is made. It is found that the value of constraint ratio is not much affected by the presence of multi-axial stress if the geometrical configuration of inhomogeneity is symmetric in respective directions, while it is affected by multi-axial stress if the geometrical configuration is not symmetric. The change of Young's modulus under biaxial stress is also discussed.
- 一般社団法人日本機械学会の論文
著者
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Abe Takeji
Department Of Applied Mechanics Okayama University
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Abe Takeji
Department Of Engineering Science Kyoto University
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