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首页> 外文会议>Fifth International Conference on Analysis of Discontinuous Deformation, ICADD-5 Oct 6-10, 2002 Beer Sheva, Israel >Crack propagation modeling by numerical manifold method
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Crack propagation modeling by numerical manifold method

机译：数值流形方法建立裂纹扩展模型

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摘要

Manifold method, proposed by Dr. Genhua Shi about 10 years ago, catches the attention of many scholars around the world. It employs cover systems to form elements similar to the finite element method using meshes. In this paper, manifold method is employed to simulate crack propagation for the reason that the mathematical meshes can be kept unchanged during the simulation processes. The theory of linear elastic fracture mechanics (LEFM) is chosen to judge whether a crack extends or not. Stress intensity factors in LEFM are calculated by a path independent contour integral to avoid singularity at crack tip. High order cover functions are used on physical covers to improve the accuracy of the crack propagation simulation. An algorithm to deal with the crack tip's stopping at any place of an element is presented. Finally, test examples are given to validate the method and the corresponding program.
机译：由Gengen Shi博士在10年前提出的流形方法引起了全世界许多学者的关注。它采用覆盖系统来形成类似于使用网格的有限元方法的元素。本文采用流形方法来模拟裂纹扩展，原因是在模拟过程中数学网格可以保持不变。选择线性弹性断裂力学（LEFM）理论来判断裂纹是否扩展。 LEFM中的应力强度因子是通过与路径无关的轮廓积分来计算的，以避免裂纹尖端处的奇异性。高阶覆盖功能用于物理覆盖，以提高裂纹扩展模拟的准确性。提出了一种处理裂纹尖端在元素任意位置停止的算法。最后，给出测试示例以验证该方法和相应的程序。

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