高ひずみ速度下での広いひずみ域に適用できる修正マルバーン型構成式中の材料定数Kの決定法について

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A Malvern type constitutive equation is sometimes used to analyze the dynamic response of an elastic/viscoplastic body at strain rates of 10^3〜10^4s^-1. The value of material constant K in the equation has sometimes been determined by comparing the experimental results with the numerical one. On the other hand, a constitutive equation which is called the modified Malvern constitutive equation which covers a wide range of strain at a high strain rate, has been proposed previously by comparing the experimental results with the numerical ones using one dimensional elastic/viscoplastic wave propagation in a lead bar. The modified type is considered to be one of the Malvery type containing a weal flow stress dependence on strain rate up to about 10^3s^-1. In this paper, it is predicted that the coefficient of the Malvern type coincides with that of the constitutive equation obtained by considering the viscous drug region of dislocation so that the constant Ks in the Malvern and modified types can be basically determined using the viscous drug coefficient of dislocatin. In the case of the Malvern type, the constant K determined by using this coefficient is not in agreement with the constant found by comparing the numerical and experimental results because the weak dependence of the stress on the strain rate up to about 10^3s^-1 is not taken into consideratin. However, it appears that the constant K determined by using viscous drug coefficient is in good agreement with the constant by comparing experimental results with the numerical ones in the case of the modified type.
社団法人日本材料学会の論文
1993-05-15

高ひずみ速度下での広いひずみ域に適用できる修正マルバーン型構成式中の材料定数Kの決定法について

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