裂纹面受荷载作用的应力强度因子的计算

The calculation of stress intensity factor including the effects of surface tractions

基于比例边界有限元法计算了裂纹面有荷载作用情况下裂纹尖端的应力强度因子,给出了有限介质裂纹面作用荷载的比例边界有限元方程的基本求解过程。对于随径向坐标任意变化的一类面荷载的积分能够显式计算,不需要引入额外的近似;并将计算结果与解析解和数值结果进行对比,结果表明比例边界有限元法在计算裂纹面作用荷载时的应力强度因子是有效且精确的。此外,该方法可方便地处理各向异性材料裂纹问题,本文给出了正交各向异性矩形盘裂纹面受均布荷载情况的应力强度因子。

The stress intensity factor of the crack tip is calculated based on the scaled boundary element method （SBFEM） considering the surface tractions. The semi-analytical solving process of the scaled boundary element equations with the contribution of surface tractions is presented. Integrals in the radial direction arise which can be evaluated explicitly for the surface tractions varying as power functions in the radial coordinate and no additional approximations are introduced. The comparison with the analytical solution and numerical examples show that SBFEM is effective and possesses high accuracy for the calculation of stress intensity factor with the contribution of surface tractions. In addition, it is easily to treat the anisotropic materials for the method. The results of single-edge-cracked orthotropic material problem with uniform surface tractions are provided.