论文标题
正骨功能分级材料中裂纹传播的自适应相位场模型
Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials
论文作者
论文摘要
在这项工作中，我们将最近提出的自适应相位场方法扩展到对正端级分级材料（FGM）中的断裂模型。恢复类型误差指示器与Quadtree分解相结合用于自适应网格细化。所提出的方法能够通过局部网格细化来捕获断裂过程，从而在计算效率方面具有显着提高。对实验数据和其他具有不同材料方向的正骨材料的数值实验的实验进行了验证。结果表明，随着材料方向角的增加，刚度和最大力的增加。然后将研究扩展到正性FGM的分析。可以观察到，如果忽略了断裂性能的渐变，则材料梯度起次要作用，而裂缝行为则由材料的矫形器主导。但是，当韧性沿裂纹繁殖路径增加时，观察到断裂抗性的大幅增长。
In this work, we extend the recently proposed adaptive phase field method to model fracture in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined with quadtree decomposition is employed for adaptive mesh refinement. The proposed approach is capable of capturing the fracture process with a localized mesh refinement that provides notable gains in computational efficiency. The implementation is validated against experimental data and other numerical experiments on orthotropic materials with different material orientations. The results reveal an increase in the stiffness and the maximum force with increasing material orientation angle. The study is then extended to the analysis of orthotropic FGMs. It is observed that, if the gradation in fracture properties is neglected, the material gradient plays a secondary role, with the fracture behaviour being dominated by the orthotropy of the material. However, when the toughness increases along the crack propagation path, a substantial gain in fracture resistance is observed.
