結晶の連続体近似による多結晶金属の変形応力に関する考察

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In the present paper, as one of the series of study of the macroscopic measure of plastic deformation of microscopically non-uniform metallic materials containing lattice imperfection, the flow stress of polycrystalline metal was investigated experimentally by means of geometrical aspect of the continuously dislocated continuum. In this case, it was assumed that the material space for deformed metals was represented by non-Riemannian space with Euclidean connection which have both torsion tensor and Riemann-Christoffel curvature tensor. From the differential geometrical consideration, in the first place, it was found that the non-conservative motion of dislocation was completely represented by curvature tensor. In the second place, the experimental examination of the relation between the flow stress in the grain and torsion tensor or curvature tensor was made by using X-ray back reflection Laue method. From the simple tensile tests of coarse-grained sheet specimen of pure commercial aluminium, it was found that the flow stress of the metal was linear function of the square root of dislocation (component of torsion tensor) or imperfection density (component of curvature tensor) and the proportional constant in this function took a various value in virture of a kind of lattice defects. From the present tests, it was pointed out that the contribution of curvature tensor was important to consider the work-hardening of the metal in large state of deformation.
社団法人日本材料学会の論文
1974-01-15

結晶の連続体近似による多結晶金属の変形応力に関する考察

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