A novel singular ES-FEM method for simulating singular stress fields near the crack tips for linear fracture problems

作者：Liu G R; Nourbakhshnia N^*; Zhang Y W

来源：Engineering Fracture Mechanics, 2011, 78(6): 863-876.

DOI：10.1016/j.engfracmech.2009.11.004

• Numerical method
• Mesh free method
• Finite element method (FEM)
• Edge-based smoothed finite element method (ES-FEM)
• Singular ES-FEM

This paper presents a novel numerical method for effectively simulating the singular stress field for mode-I fracture problems based on the edge-based smoothed finite element method (ES-FEM). Using the unique feature of the ES-FEM formulation, we need only the assumed displacement values (not the derivatives) on the boundary or the smoothing domains, and hence a new technique to construct singular shape functions is devised for the crack tip elements. Some examples have demonstrated that results of the present singular ES-FEM in terms of strain energy, displacement and J-integral are much more accurate than the finite element method using the same mesh.

• 出版日期2011-4