小表面裂纹应力强度因子的权函数解

 三维权函数法应用于平板表面裂纹问题,计算了含小表面裂纹(a/t≤0.2)的平板受远方拉伸及弯曲载荷下的应力强度因子,所提供的解答覆盖了疲劳断裂的研究及工程应用中所关心的小表面裂纹的范围。与文献中的有限元结果进行了广泛的比较,两者之间有极好的一致性。还研究了a/c→0时应力强度因子的极限情况。

SOLUTION OF STRESS INTENSITY FACTOR BY WEIGHT FUNCTION FOR SMALL SURFACE CRACKS IN PLATES

The three-dimensional weight function method is used to determine stress intensity factors for small surface cracks in plates subjected to remote tension and bend-ing. The geometry parameters considered are c/b = 0.2; a/c = 0.2; 0.4, 0.6, 1.2; a/t = 0.01,0.05,0.1 and 0.2,which cover the range of small surface crack problems commonly encountered in fatigue and fracture studies and applications. The results are compared, where possible, with other solutions available in the literature. Very good agreement is observed. The limiting behaviours of stress intensity factors as the crack aspect ratio, a/c, tends to zero are also investigated. The solutions presented in this paper should be useful in damage tolerance and durability analysis of aircraft structures and in the study of small fatigue cracks.