冷延軟鋼板の集合組織とヤング率 : 各種モデルの比較
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概要
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On estimating physical or mechanical properties of polycrystal by a three-dimensional orientation distribution function, two averaging procedures may be used. It has been found that the Young's modulus of polycrystal, E_<cal>, is better approximated, if the averaging procedure ignoring the inter-action between crystals is used. With this averaging procedure, E_<cal> was calculated for aluminum-killed steel and rimmed steel by the following equation. [numerical formula] where ψ, θ and φ denote a set of Eulerian angles between the coordinate system of crystallite and the reference system of specimen. ψ'=ψ+ω, and ω stands for an angle between the rolling direction and the stretching direction. E_<cal> was compared with the other averaging value, E_v, calculated from the Voigt model by taking the interaction into account and the experimentally obtained one, E_<obs>. The results obtained were : (1) In both steel, E_<cal> was less than the others. That is E_<cal><E_<obs><E_v. (2) With respect to planar anisotropy, the both models gave the values close to the observed one. although E varied depending upon direction as E_L<E_T<E_D, where L, T and D refer to the rolling direction, the transverse direction and the direction with 45゜to the rolling direction, respectively. The fact of E_<cal><E_<obs><E_v was considered to result from the difference between the two procedures in dealing with the interaction. k(= (E_<obs>-E_<cal>)/E_<cal>) was quantitatively related to the following orientation-dependence factor, σ, with the assumption that the interaction depends upon the degree of intensity of preferred orientation of texture. [numerical formula] where w_<RAND> is given by the three-dimensional orientation distribution function of randomly oriented polycrystals.
- 社団法人日本材料学会の論文
- 1980-11-15
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