A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks
A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks
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DOI：
10.1007/s00466-009-0422-3
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发表时间：
2009
影响因子：
4.1
通讯作者：
L. Chen;G. Liu;N. Nourbakhshnia;K. Zeng
中科院分区：
文献类型：
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作者：
L. Chen;G. Liu;N. Nourbakhshnia;K. Zeng
将最近发展起来的基于边的光滑有限元法（ES-FEM）推广到两种不同各向同性材料之间的混合型界面裂纹。本ES-FEM方法使用三角形元素，可以自动生成的问题，即使与复杂的几何形状，和应变平滑的平滑域与元素的边缘。考虑到双材料界面裂纹尖端附近的应力奇异性为平方根反比且具有振荡性质，在ES-FEM框架内设计了一个五节点奇异裂纹尖端单元，构造奇异形函数。由于不需要奇异形状项的导数，这种奇异单元易于实现。在相互作用积分的区域形式中，通过适当的处理，也可以很容易地计算出混合型应力强度因子。本奇异ES-FEM的有效性证明通过基准的例子，广泛的材料组合和边界条件。
The recently developed edge-based smoothed finite element method (ES-FEM) is extended to the mix-mode interface cracks between two dissimilar isotropic materials. The present ES-FEM method uses triangular elements that can be generated automatically for problems even with complicated geometry, and strains are smoothed over the smoothing domains associated with the edges of elements. Considering the stress singularity in the vicinity of the bimaterial interface crack tip is of the inverse square root type together with oscillatory nature, a five-node singular crack tip element is devised within the framework of ES-FEM to construct singular shape functions. Such a singular element can be easily implemented since the derivatives of the singular shape termare not needed. The mix-mode stress intensity factors can also be easily evaluated by an appropriate treatment during the domain form of the interaction integral. The effectiveness of the present singular ES-FEM is demonstrated via benchmark examples for a wide range of material combinations and boundary conditions.