首页> 外文会议>Symposium on Mechanisms and Mechanics of Fracture: the John Knott Symposium, Oct 7-10, 2002, Columbus, Ohio, USA >Effect of Constitutive Relations on Plastic Deformation Localization under Kinematic Hardening Rule
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Effect of Constitutive Relations on Plastic Deformation Localization under Kinematic Hardening Rule

机译:运动硬化规则下本构关系对塑性变形局部化的影响

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In the present work, it is attempted to simulate the strain localization under simple shear deformation using the rate-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:在本工作中,尝试使用与速率无关的本构关系(即弹塑性J_2流动理论,J_2变形理论和刚性可塑性)来模拟简单剪切变形下的应变局部化。由于假定了运动硬化,因此通过引入塑性自旋,应力相对于子结构的自旋共同旋转。首先,使用有限差分方案研究均匀变形。然后,通过在工件中引入小的扰动进行不均匀分析。由于塑性功产生的热能被忽略,因此不同的剪切局部化行为源于每个本构描述的性质。刚性塑料材料比弹性塑料材料导致更严重的剪切带形成。此外,应注意的是,当将弹塑性用作本构方程时,变形理论产生的剪切局部性低于流动理论。

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