Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks.

*(English)*Zbl 0936.74057We derive new domain integrals for extracting mixed-mode stress intensity factors along curved, three-dimensional bimaterial interface cracks. In the derivation, we impose asymptotic auxiliary fields along a curved crack front in the plane problem of a bimaterial interface crack. The general crack-tip interaction integral (a contour integral surrouding a point on the crack front which is evaluated in the limit as the contour is shrunk onto the crack tip) is then expressed in domain form which is more suitable for numerical computation.

We present two numerical examples. As a benchmark, we first consider the problem of a penny-shaped interface crack embedded in a cylinder. The results for the complex stress intensity factor and phase angle are found to be in agreement with analytical solutions. An elliptical crack embedded between two dissimilar isotropic materials is also considered, and the results are discussed.

We present two numerical examples. As a benchmark, we first consider the problem of a penny-shaped interface crack embedded in a cylinder. The results for the complex stress intensity factor and phase angle are found to be in agreement with analytical solutions. An elliptical crack embedded between two dissimilar isotropic materials is also considered, and the results are discussed.