Stress intensity factors for cracks emanating from a circular hole in an infinite quasi-orthotropic plane

摘要

An infinite quasi-orthotropic plane with a cracked circular hole under tensile loading at infinity is studied analytically. To this end, complex variable theory of Muskhelishvili is used. In addition, to obtain analytical functions, a new conformal mapping is proposed and expanded to series expressions. Stress intensity factors (SIFs) for two unequal cracks emanating from a circular hole are obtained. To validate the analytical SIFs in a quasi-orthotropic plane, the results are compared with FEM and the results of isotropic plane. The SIFs for small cracks in a quasi-orthotropic and an isotropic plane are different, because of difference between stress concentrations in points which cracks emanate from the hole. However, the results of quasi-orthotropic plane converge to isotropic plane for the large cracks. Therefore, the SIFs of the large cracks in a quasi-orthotropic plane can be replaced by the results of the center crack with equivalent length in an isotropic plane.