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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A three-dimensional self-adaptive cohesive zone model for interfacial delamination
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A three-dimensional self-adaptive cohesive zone model for interfacial delamination

机译：界面分层的三维自适应内聚区模型

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摘要

Discrete crack models with cohesive binding forces in the fracture process zone have been widely used to address failure in quasi-brittle materials and interfaces. However, the numerical concerns and limitations stemming from the application of interface cohesive zone models in a quasi-static finite element framework increase considerably as the relative size of the process zone decreases. An excessively fine mesh is required in the process zone to accurately resolve the distribution of tractions in a relatively small moving zone. With a moderate mesh size, inefficient path-following techniques have to be employed to trace the local discretization-induced snap-backs. In order to increase the applicability of cohesive zone models by reducing their numerical deficiencies, a self-adaptive finite element framework is proposed, based on a hierarchical enrichment of the standard elements. With this approach, the planar mixed-mode crack growth in a general three-dimensional continuum, discretized by a coarse mesh, can be modeled while the set of equations of the non-linear system is solved by a standard Newton-Raphson iterative procedure. This hierarchical scheme was found to be most effective in reducing the oscillatory behavior of the global response.
机译：在断裂过程区域中具有内聚结合力的离散裂纹模型已被广泛用于解决准脆性材料和界面的破坏问题。然而，随着过程区域的相对尺寸减小，在准静态有限元框架中应用界面粘结区模型引起的数值问题和局限性大大增加。在处理区域中需要过细的网格，以准确解决相对较小的移动区域中的牵引力分布。对于中等大小的网格，必须采用无效的路径跟踪技术来跟踪局部离散化引起的回跳。为了通过减少内聚力区域模型的数值缺陷来提高其适用性，基于标准元素的分层充实，提出了一种自适应有限元框架。使用这种方法，可以对由粗糙网格离散化的一般三维连续体中的平面混合模式裂纹扩展进行建模，同时通过标准的牛顿-拉夫森迭代程序求解非线性系统的方程组。发现这种分层方案在减少全局响应的振荡行为方面最有效。

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