非均匀材料界面裂纹的Cell-Based光滑有限元法

为提高非均匀材料界面裂纹尖端断裂参数的求解精度,基于非均匀材料界面断裂力学、Cell-Based光滑有限元(Cell-SFEM)和非均匀材料的互交作用积分法,提出了求解非均匀材料界面裂纹尖端断裂参数的CellBased光滑有限元法,推导了基于Cell-Based光滑有限元法的非均匀材料的互交作用积分法,对非均匀材料间的界面裂纹尖端处正则应力强度因子进行了求解,并与参考解进行了比较,讨论了互交积分区域大小和光滑子元个数与正则应力强度因子的关系。数值算例结果表明:本方法具有很高的计算精度,对积分区域大小不敏感,可为设计、制造抗破坏非均匀材料提供依据。

Research on Cell-Based smoothed finite element method of inhomogeneous material interface crack

In order to improve the precision of inhomogeneous material interface crack tip fracture parameters which based on the inhomogeneous material interface fracture mechanics,Cell-Based smoothed finite element method(Cell-SFEM)and inhomogeneous material interaction integral,the Cell-Based smoothed finite element method was put forward to work out the inhomogeneous materials interface crack tip fracture parameters,and the interaction integral of inhomogeneous material based on Cell-Based smoothed finite element method was deduced.The normalized stress intensity factor in inhomogeneous material interface crack tip was solved.Compared with the reference solution,the relationship between the sizes of interaction integral region,the number of smoothing element and normalized stress intensity factor was discussed.The results of numerical example show that this method has high computational accu-racy.It is not sensitive to integral area size as its features,and it can provide the basis for design and manufacture anti-failure of inhomogeneous material.