中文摘要：

为了提高求解断裂参数的效率和精度,将虚拟裂纹闭合法（Virtual Crack Closure Technique）与光滑节点域有限元方法（Node-Based Smoothed Finite Element Method）相结合,提出了SFEM-VCCT方法.基于三角形单元的光滑节点域有限元方法,对二维含中心斜裂纹受拉伸矩形板的断裂参数进行求解.通过不同的单元离散数量与FEM-VCCT做了比较.数值算例结果表明,SFEM-VCCT改善了FEM-VCCT刚度＂过硬＂的缺点,精度高于FEM-VCCT,并且对网格尺寸要求低、裂纹尖端单元不需要特殊处理、求解简单方便,具有广阔的应用前景.

英文摘要：

In order to improve the efficiency and precision in the numerical solution of fracture parameters, the Virtual Crack Closure Technique（VCCT） and the Node-Based Smoothed Finite Element Method（SFEM） were combined as the proposed SFEM-VCCT method. This method, using the triangular elements, was applied to solve the fracture parameters of a rectangular plate under the tensile stress with a centered inclined crack. By comparing to the FEM-VCCT with varying discrete elements, the numerical results show that the SFEM-VCCT could overcome the limitations of ‘strong stiffness＇ in the FEM-VCCT. The proposed method has a better precision, and less requirements for the mesh size. Special treatment of the crack tip elements is not necessitated. For its convenience, there is a prospect that the method could be potentially applied to the engineering problems.