Dynamic cohesive crack propagation modelling using the scaled boundary finite element method
Dynamic cohesive crack propagation modelling using the scaled boundary finite element method
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DOI：
10.1111/j.1460-2695.2011.01652.x
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发表时间：
2012-08
影响因子：
3.7
通讯作者：
E. Ooi;Zhenjun Yang;Z. Guo
中科院分区：
文献类型：
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作者：
E. Ooi;Zhenjun Yang;Z. Guo
提出了一种基于尺度边界有限元方法的准脆性材料在动态载荷作用下的快速内聚裂纹扩展模拟方法。在该方法中，弹性块体材料用SBFEM子域来模拟，裂纹用非线性粘结界面有限元来模拟，并通过重新划分网格来自动插入。全球方程组采用隐式时间积分算法求解。由于所有的解(位移、应力、速度、加速度)都是半解析的，因此与其他方法相比，这种方法具有一些优点，例如不需要使用精细的裂纹尖端网格就可以准确地计算动应力强度因子和T应力，网格重新划分更简单，网格映射更准确和高效，而且需要的自由度要少得多。通过对两根受冲击的混凝土梁分别进行I型断裂和复合型断裂的建模，验证了该方法的有效性。
This study develops a scaled boundary finite element method (SBFEM)-based approach for modelling fast cohesive crack propagation in quasi-brittle materials subjected to transient dynamic loadings. In this approach, the elastic bulk material is modelled by SBFEM subdomains and the cracks by nonlinear cohesive interface finite elements that are automatically inserted by a remeshing procedure. The global equation system is solved using an implicit time integration algorithm. Because all the solutions (displacements, stresses, velocities, accelerations) are semi-analytical in an SBFEM subdomain, this approach offers a few advantages over other methods, such as accurate calculation of dynamic stress intensity factors and T-stress without using fine crack-tip meshes, simpler remeshing, more accurate and efficient mesh mapping, and the need of much fewer degrees of freedom for the same accuracy. The approach is validated by modelling two concrete beams under impact, subjected to mode-I and mixed-mode fracture, respectively.