A thermodynamically consistent discontinuous Galerkin formulation for interface separation
A thermodynamically consistent discontinuous Galerkin formulation for interface separation
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DOI：
10.1016/j.compstruct.2015.07.080
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发表时间：
2015-12
影响因子：
6.3
通讯作者：
D. Versino;H. Mourad;C. Dávila;F. Addessio
中科院分区：
文献类型：
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作者：
D. Versino;H. Mourad;C. Dávila;F. Addessio
本文介绍了基于不连续伽辽金 (DG) 方法的界面损伤模型的制定，用于模拟层合结构中的失效和裂纹扩展。 DG 公式避免了与内聚元素相关的常见困难。具体来说，它不会引入任何人工界面顺应性，并且在显式动态分析中，它会产生稳定的时间增量大小，不受刚性无质量界面存在的影响。所提出的方法是在有限元设置中实现的。静态和动态分析中的模式 I 和混合模式分层证明了收敛性和准确性。值得注意的是，使用所提出的界面模型获得的数值结果与表征 DG 公式的惩罚因子的值无关。相比之下，发现使用经典内聚方法获得的数值结果取决于内聚罚刚度。由于这一显着优势，所提出的方法可以对混合模式断裂下的裂纹扩展进行更准确的预测。此外，在显式动力分析中，发现用该方法计算的稳定时间增量大小比经典粘性单元的最大允许值大一个数量级。
This paper describes the formulation of an interface damage model, based on the discontinuous Galerkin (DG) method, for the simulation of failure and crack propagation in laminated structures. The DG formulation avoids common difficulties associated with cohesive elements. Specifically, it does not introduce any artificial interfacial compliance and, in explicit dynamic analysis, it leads to a stable time increment size which is unaffected by the presence of stiff massless interfaces. The proposed method is implemented in a finite element setting. Convergence and accuracy are demonstrated in Mode I and mixed-mode delamination in both static and dynamic analyses. Significantly, numerical results obtained using the proposed interface model are found to be independent of the value of the penalty factor that characterizes the DG formulation. By contrast, numerical results obtained using a classical cohesive method are found to be dependent on the cohesive penalty stiffnesses. As a result of this notable advantage, the proposed approach is shown to yield more accurate predictions pertaining to crack propagation under mixed-mode fracture. Furthermore, in explicit dynamic analysis, the stable time increment size calculated with the proposed method is found to be an order of magnitude larger than the maximum allowable value for classical cohesive elements.