Three-dimensional static problem for an elliptical crack in an elastic body with initial stress

Conclusions Thus, the influence of the initial stress on the displacement distribution in the crack plane is significant. In [6], it was concluded that, for a shear crack, it is impossible to show in the general case that the initial stress has no influence on the stress-intensity coefficients (which is the case for a normal-rupture crack). For the example of an elliptical shear crack, it is shown that the initial stress influences the stress distribution close to the crack and hence the stress-intensity coefficient, in contrast to the plane and axisymmetric problems.Close to the value of ₁ equal to the surface instability of the half space, as follows from a consideration of quantitative dependences, its influence is sharply expressed.The stress and displacement distribution in a body with initial stress (y₃0) will differ from the corresponding distribution in a linear isotropic and transversally isotropic elastic body with no initial stress.Institute of Mechanics. Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 20, No. 10, pp. 22–31, October, 1984.