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A DISLOCATION BASED GRADIENT PLASTICITY THEORY WITH APPLICATIONS TO SIZE EFFECTS

机译:基于位移的梯度塑性理论及其在尺寸效应中的应用

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The intent of this work is to derive a physically motivated mathematical form for the gradient plasticity that can be used to interpret the size effects observed experimentally. This paper addresses a possible, yet simple, link between the Taylor's model of dislocation hardening and the strain gradient plasticity. Evolution equations for the densities of statistically stored dislocations and geometrically necessary dislocations are used to establish this linkage. The dislocation processes of generation, motion, immobilization, recovery, and annihilation are considered in which the geometric obstacles contribute to the storage of statistical dislocations. As a result a physically sound relation for the material length scale parameter is obtained as a function of the course of plastic deformation, grain size, and a set of macroscopic and microscopic physical parameters. The proposed model gives good predictions of the size effect in micro-bending tests of thin films and micro-torsion tests of thin wires.
机译:这项工作的目的是为梯度可塑性导出一种物理动机的数学形式,该形式可用于解释实验观察到的尺寸效应。本文探讨了位错硬化的泰勒模型与应变梯度可塑性之间的可能但简单的联系。统计存储的位错和几何上必要的位错密度的演化方程用于建立这种联系。考虑到位错的产生,运动,固定,恢复和location灭的位错过程,其中几何障碍有助于统计位错的存储。结果,根据塑性变形的过程,晶粒尺寸以及一组宏观和微观的物理参数,获得了与材料长度尺度参数有关的物理关系。提出的模型可以很好地预测薄膜的微弯曲测试和细线的微扭转测试中的尺寸效应。

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