X. Wang et Sb. Lambert, STRESS INTENSITY FACTORS AND WEIGHT-FUNCTIONS FOR SEMIELLIPTIC SURFACE CRACKS IN FINITE-THICKNESS PLATES UNDER 2-DIMENSIONAL STRESS-DISTRIBUTION, Fatigue & fracture of engineering materials & structures, 20(12), 1997, pp. 1637-1655
A Fourier series approach is proposed to calculate stress intensity fa
ctors using weight functions for semi-elliptical surface cracks in Bat
plates subjected to two-dimensional stress distributions. The weight
functions were derived from reference stress intensity factors obtaine
d by three-dimensional finite element analyses. The close form weight
functions derived are suitable for the calculation of stress intensity
factors for semi-elliptical surface cracks in Bat plates under two-di
mensional stress distributions with the crack aspect ratio in the rang
e of 0.1 less than or equal to a/c less than or equal to 1 and relativ
e depth in the range of 0 less than or equal to a/t less than or equal
to 0.8. Solutions were verified using several two-dimensional non-lin
ear stress distributions; the maximum difference being 6%.