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Effect of Constitutive Relations on Plastic Deformation Localization under Kinematic Hardening Rule

机译:基本关系对运动变形定位在运动硬化规则下的影响

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In the present work, it is attempted to simulate the strain localization under simple shear deformation using the me-independent constitutive relations, namely elastic-plastic J_2 flow theory, J_2 deformation theory and rigid plasticity Since kinematic hardening assumed, the stress is co-rotated with respect to the spin of substructure by incorporating plastic spin First, a homogeneous deformation is investigated using a finite difference scheme. Then, it is followed by inhomogeneous analysis by introducing a small perturbation in the work piece. The thermal energy due to plastic work is ignored so that the distinct shear localization behavior stems from the nature of each constitutive description. The rigid plastic material results in more severe shear band formation than the elastic-plastic material. Moreover, it is noted that when elasto-plasticity used as the constitutive equation, deformation theory yields lower shear localization than flow theory.
机译:在目前的工作中,尝试使用ME独立的本构关系模拟简单的剪切变形下的应变定位,即弹性塑料J_2流动理论,J_2变形理论和刚性可塑性,因为运动硬化假设,应力共旋转通过首先通过掺入塑料旋转来对旋转子结构,使用有限差分方案研究均匀的变形。然后,通过在工件中引入小扰动来之后进行不均匀分析。由于塑料工作引起的热能被忽略,使得不同的剪切定位行为源于每个组成型描述的性质。刚性塑料材料导致比弹性塑料材料更严重的剪切带。此外,应注意,当用作本构式方程的弹性可塑性时,变形理论的剪切定位低于流理论。

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