中文摘要：

该文基于比例边界有限元法计算了裂纹面荷载作用下平面多裂纹应力强度因子。比例边界有限元法可以给出裂纹尖端位移场和应力场的解析表达式,该特点可以使应力强度因子根据定义直接计算,同时不需要对裂纹尖端进行特殊处理。联合子结构技术可以计算多裂纹问题的应力强度因子。数值算例表明该文方法是有效且高精确的,进而推广了比例边界有限元法的应用范围。此外,比例边界有限元法可方便的处理各向异性材料裂纹问题,该文计算了正交各向异性材料多裂纹问题的应力强度因子。

英文摘要：

The stress intensity factors of multiple cracks are calculated by using the scaled boundary finite element method（SBFEM） considering the surface tractions.SBFEM has the advantages that it gives analytical solutions of displacements and stress fields in the radial direction and thus the stress intensity factors can be evaluated according to its definition without a particular treatment of crack tip.For the multiple crack problems,the present method can calculate the SIF by introducing the sub-structuring technique.Numerical examples show that the scaled boundary finite element method is effective with high accuracy in dealing with the multiple cracks fracture problems subjected to the surface tractions.The scope of application of SBFEM has been extended.In addition,the SBFEM can be applied to handle the crack problem of anisotropy material conveniently,some results of orthotropic material crack are provided.