无限大板椭圆孔边四不等长裂纹问题的有限截项法

Truncated Conformal Mapping Approach for Four Cracks with Unequal Length Emanating from Elliptical Hole-Edge in Infinite Plates

对无限远处受任意角度单向均匀拉伸应力作用的无限大板椭圆孔边四不等长裂纹的有限截项法进行研究。结果表明:随着水平右端裂纹长与椭圆孔半长轴的比值增大,有限截项法的解与解析解的拟合程度增高;椭圆孔边四不等长裂纹退化为水平双裂纹时,所得结果与已有文献中的结果一致。

The truncated conformal mapping approach was applied to study the problem about four cracks with unequal length emanating from elliptical hole-edge under remote uniform tension in unidirection at an arbitrary angle in infinite plate in this paper.The numerical simulation results demonstrated that the fitting degree between solution of truncated conformal mapping approach and analytical solution increased with the increase of the ratio of the crack length at the right end of the horizontal direction to the half-long axis of the elliptical hole.Furthermore,when the four unequal cracks emanating from elliptical hole-edge degenerated into horizontal double cracks,we found that the numerical simulation results obtained were consistent with the reported results in the literature to date.