A nonlinear semi-concurrent multiscale method for fractures

A nonlinear semi-concurrent multiscale method for fractures
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裂缝的非线性半并发多尺度方法

DOI:
10.1016/j.ijimpeng.2015.06.022
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发表时间:
2016
影响因子:
5.1
通讯作者:
Zhuang, Xiaoying
Zhuang, Xiaoying
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhu, Hehua;Wang, Qing;Zhuang, Xiaoying

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本文提出了一种非线性半并发多尺度方法,用于模拟材料非线性行为的微结构裂纹扩展。本方法是基于渐近展开均匀化与半并发有限元建模方法相结合。针对含破坏后阶段的非线性材料模型,提出了一种改进的周期边界条件和球形晶粒生成方法。研究了微尺度RVE模型关于RVE特征尺寸和成分材料分布的统计收敛性。据发现,收敛的宏观材料性能是由再现的RVE的周期性几何形状。脆性材料的实验结果验证了该方法的有效性。用本方法得到的裂纹萌生位置和顺序与实验数据进行了比较。该方法成功地捕捉到了翼形裂纹萌生位置和裂纹分支模式的实验现象。结果表明,该方法是一种有效的脆性材料动态损伤演化模型。
A nonlinear semi-concurrent multiscale method for the modelling of crack propagation evolving from micro-structure for non-linear material behaviour is developed. The present method is based on an asymptotic expansion homogenization combined with the semi-concurrent finite element modelling approach. A modified periodic boundary conditions and sphere grains generation procedure are devised for non-linear material model with post-failure stage. The statistical convergence of the microscale RVE model regarding the RVE characteristic size and composition material distributions is studied. It was found that convergence of the macroscopic material properties is determined by the reproduction of the periodic geometry of the RVEs. The present method is validated by the experimental results for brittle material. The location and sequence of crack initiation captured by the present method is compared with the experimental data. The experimental phenomenon of the wing-cracks initiation location and crack branching pattern are successfully captured by the present method. The results show that the present method is an effective for the modelling of dynamic damage evolution for brittle materials.
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