考虑孪晶组织演化的HCP金属位错晶体塑性建模与仿真

R. Kondo, Y. Tadano, K. Shizawa
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摘要

本文提出了一种考虑孪晶组织演化的位错晶体塑性模型。为了表征HCP晶体中位错的各向异性滑动,将FCC晶体的位错-晶体塑性模型推广到HCP晶体中。此外,基于相场理论建立了一种新的变形缠绕模型,通过阶参数和解析剪切应力与上述模型耦合。在该模型中,金兹堡-朗道自由能中的体能和梯度能分别采用孪晶面上的弹性应变能和基体与孪晶区之间的各向异性界面能。基于上述模型,采用位错晶体塑性有限元分析与相场FDM分析相结合的方法,对不同晶向的Mg单晶进行了平面应变条件下的单轴压缩试验。模拟结果表明,该模型能较好地再现Mg单晶的各向异性塑性行为。此外,许多实验研究报告的透镜状双胞胎是通过a轴压缩试验再现的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dislocation-based crystal plasticity modeling and simulation for HCP metals considering evolution of twin-microstructure
In this study, a dislocation-based crystal plasticity model for HCP crystals considering evolution of twin-microstructure is newly developed. In order to represent an anisotropic glide of dislocation in HCP crystals, a conventional dislocation-crystal plasticity model for FCC crystals is extended to that for HCP one. Additionally, a new deformation twining model based on the phase-field theory is coupled with the above model through an order parameter and resolved shear stress. In this model, elastic strain energy on twin plane and anisotropic interfacial energy between matrix and twinned region are adopted in the Ginzburg-Landau free energy as the bulk energy and the gradient energy, respectively. Using the above models, uniaxial compression tests under plane strain condition for Mg single crystal with different crystal orientations are demonstrated by means of FEM for dislocation-based crystal plasticity analyses coupling with FDM for phase-field one. From the results of the present simulations, it is shown that the present model can reproduce an anisotropic plastic behavior of Mg single crystal. Moreover, lenticular shaped twins as reported in many experimental studies are reproduced by a-axis compression tests.
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