高次ひずみ勾配理論を用いた不均一塑性変形の解析

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  • Analysis of nonuniform plastic deformation using higher-order strain-gradient plasticity theory

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<p>It has been reported so far there is size dependence of mechanical properties in metals at the microscale. However, conventional elasto-plasticity theories do not represent any size dependence predicted from dislocation theory. In this study, we analyzed three dimensional nonuniform plastic deformation problem using a phenomenological higher-order strain gradient plasticity theory in which a yield function is considered as an additional governing partial differential equation. Specifically, we compared solutions of conventional elasto-plasticity theory and higher-order strain gradient plasticity theory for thin plate uniaxial tension. It is confirmed that deformation behavior that does not depend on number of element divisions is predicted by the higher-order strain gradient plasticity theory. Besides, a new algorithm of the higher-order strain gradient plasticity computations in which violation of the yield condition is automatically corrected without iterative calculation is proposed.</p>

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