加工硬化の異方性について
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概要
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Recently, it has become possible to analyze the stress or strain of a complicatedly shaped body by the help of the finite element method and the computer. In this case, there is no problem for elastic deformation because the stress-strain equations are well defined. But, at present, for plastic deformation, the satisfactory stress-strain equations which represent actual deformation have not been established yet, because the equations are known to change with the strain paths. So, it is necessary to make clear the relation beween stress and strain during plastic deformation. The behaviors of deformation in a single crystal have been made clear by the dislocation theory and crystallography. But the metallic materials are generally polycrystals, and the behaviors of deformation in a polycrystal can not be represented by the average value of those in a single crystal because of the interaction between crystallites and the effect of grain boundary. In this paper, it is assumed that each grain in a polycrystal deforms by slip and that the strain of each grain is equal to the mechanical strain. Then the theoretical stress-strain curve of a face centered cubic metal is derived with consideration for the anisotropy which arises from the difference of work-hardening on each slip system. The results obtained are as follows: (1) According to the dislocation theory, the equation of work-hardening on each slip from is in the form, τ_c^=τ_0+Σ__jH_<kj> √<γ_j+γ_0>dγ^k (2) The stress-strain curve of a polycrystal can be obtained from that of a single crystal by using the above equation with the same coefficients of work-hardening.
- 社団法人日本材料学会の論文
- 1973-04-15