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Effect of Plastic Spin on Localization Predictions for a Porous Ductile Material

机译:塑性自旋对多孔球墨铸件定位预测的影响

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摘要

Various constitutive frameworks for macroscopic large strain elastoplasticity have recently identified the plastic spin as one of the key concepts in the description of anisotropic hardening. These theories involve a particular corotational stress rate that differs from the Jaumann stress rate by terms involving the plastic spin. This stress rate is introduced into a recently proposed material model for combined isotropic and kinematic hardening of a porous ductile solid. The plastic spin is taken to bc governed by the simplest possible constitutive law, involving only one additional material parameter. An analysis of so-called unconstrained shearing is used to illustrate the effect of plastic spin on the stress response at large strains and finite material rotations. The effect of the plastic spin, via the corotational stress rate, on the predictions of strain localization in shear bands is studied in terms of simple model analyses. Results for various deformation and void nucleation conditions are discussed. The plastic spin is found to have a significant influence on the onset of localization even though the material rotations are still rather small at that instant. Also the progressive evolution of the shear band after localization until ductile fracture occurs in a void-sheet is strongly affected.
机译:宏观大应变弹塑性的各种本构框架最近已将塑料纺丝确定为各向异性硬化描述中的关键概念之一。这些理论涉及特定的电应力率,该应力率与塑性变形有关的术语不同于Jaumann应力率。将该应力率引入到最近提出的材料模型中,以对多孔韧性固体进行各向同性和运动学强化结合。根据最简单的本构定律(仅涉及一个附加的材料参数)将塑性纺丝带入BC。对所谓的无约束剪切的分析用于说明塑性旋转对大应变和有限材料旋转时应力响应的影响。通过简单的模型分析,研究了塑料自旋通过介电应力速率对剪切带应变局部化预测的影响。讨论了各种变形和空核条件的结果。发现塑料旋转对定位的开始有重大影响,即使那一刻材料旋转仍然很小。局部化后直到空隙片中发生延性断裂,剪切带的逐渐发展也受到很大影响。

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