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本文通过将半椭圆表面裂纹的裂纹面位移设为双重级数形式,将Irwin的无限大体内深埋椭圆裂纹的解法作了全面推广,应用于均匀受拉半椭圆表面裂纹问题。利用平面裂纹和中心裂纹的已知解,确定了表面裂纹面位移的模式,用能量法确定了裂纹面最大位移,从而得到了表面裂纹张开位移和应力强度因子的表达式。所获得的结果能反映a/t、c/w两个因素的影响,而且包括了a/c>1的情况。计算结果与现有数值解及“最佳估计”进行了比较,本解在最有意义的最深点处与“最佳估计”相当符合,在表面点
In this paper, the solution of Irwin’s infinitely deep buried elliptical crack in the infinite body is generalized by setting the crack surface displacements of the semi-elliptical surface crack as the double series form, which is applied to the surface crack problem of uniform tensioned semi-ellipsoid. Using the known solutions of plane crack and central crack, the mode of surface crack surface displacement was determined, and the maximum displacement of crack surface was determined by energy method. The expressions of surface crack open displacement and stress intensity factor were obtained. The results obtained can reflect the influence of a / t, c / w and include a / c> 1. The results are compared with the existing numerical solutions and the “best estimate”. This solution is in good agreement with the “best estimate” at the deepest point of interest, and at the surface point