Extended (cid:1)nite element method for quasi-brittle fracture

Extended (cid:1)nite element method for quasi-brittle fracture
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通讯作者:
S. Mariani;U. Perego
S. Mariani;U. Perego
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作者:
S. Mariani;U. Perego

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摘要提出了一种模拟准脆性材料中准静态内聚裂纹扩展的方法。在最近提出的扩展(cid:1)有限元法的框架内,利用节点形函数的单位分解性质,在标准(cid:1)有限元模型中引入高阶位移间断。以这种方式,允许能够在内聚裂纹的尖端处再现处理区的典型尖点状形状的立方位移不连续性传播,而不需要修改背景(cid:1)有限元网格。所提出的方法的e(cid:2)的有效性进行了评估,通过模拟模式I和混合模式的实验测试。版权?John Wiley & Sons,Ltd.
SUMMARY A methodology for the simulation of quasi-static cohesive crack propagation in quasi-brittle materials is presented. In the framework of the recently proposed extended (cid:1)nite element method, the partition of unity property of nodal shape functions has been exploited to introduce a higher-order displacement discontinuity in a standard (cid:1)nite element model. In this way, a cubic displacement discontinuity, able to reproduce the typical cusp-like shape of the process zone at the tip of a cohesive crack, is allowed to propagate without any need to modify the background (cid:1)nite element mesh. The e(cid:2)ectiveness of the proposed method has been assessed by simulating mode-I and mixed-mode experimental tests. Copyright ? 2003 John Wiley & Sons, Ltd.