Deformation of Polycrystalline Metal Composed of Anisotropic Crystals Having Linear Stress-Strain Relation

概要

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It is a basic problem in the deformation of polycrystalline aggregates composed of anisotropic crystals, whether the stress or the strain is constant in the polycrystals. In order to treat the problem analytically, the idea of constraint ratio was introduced as a measure of deformation behaviour of each grain. Basic relations between stress and strain were deduced in terms of the constraint ratio. On the basis of the relations acquired, energetic consideration was made on the deformation characteristics of the polycrystals. It was found that, if the mutual restriction between the grains is absent, the constant stress condition is energetically stable. In real polycrystals, however, the strain is to be continuous through the grain boundary during deformation. It was concluded that, the mode of deformation changes gradually from constant stress to constant strain in proportion to the increase in strained region around the grain boundary.
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