arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1007.3509cond-mat.mtrl-sci
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考虑非弹性效应的应力诱导织构演化的混合蒙特卡罗模拟

Hybrid Monte Carlo Simulation of Stress-Induced Texture Evolution with Inelastic Effects

Liangzhe Zhang, Remi Dingreville, Timothy Bartel, Mark T. Lusk

摘要:

采用混合蒙特卡罗(HMC)方法定量研究了非弹性变形对多晶材料微观结构演化的影响。这种方法耦合了一个时间显式材料点法(MPM)的变形与校准的Monte Carlo模型的晶界运动。一个率无关的晶体塑性模型来解释多晶体中的局部塑性形变。晶粒间的位错能差为织构演化提供了额外的驱动力。然后,通过MC和锐界面(SI)动力学模型之间的参数联系,将这种塑性驱动力带入MC范式。MC算法实现在一个并行化的设置使用棋盘更新计划。正如预期的那样,塑性加载有利于织构演变的晶粒具有较大的施密德因子相对于加载方向,这些是最容易被晶界运动去除的晶粒。一个宏观方程来预测这种织构的演变。

英文摘要:

A hybrid Monte Carlo (HMC) approach is employed to quantify the influence of inelastic deformation on the microstructural evolution of polycrystalline materials. This approach couples a time explicit material point method (MPM) for deformation with a calibrated Monte Carlo model for grain boundary motion. A rate-independent crystal plasticity model is implemented to account for localized plastic deformations in polycrystals. The dislocation energy difference between grains provides an additional driving force for texture evolution. This plastic driving force is then brought into a MC paradigm via parametric links between MC and sharp-interface (SI) kinetic models. The MC algorithm is implemented in a parallelized setting using a checkerboard updating scheme. As expected, plastic loading favors texture evolution for grains which have a bigger Schmid factor with respect to the loading direction, and these are the grains most easily removed by grain boundary motion. A macroscopic equation is developed to predict such texture evolution.

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