Singularity order at the crack tip in materials with initial stresses. (English. Russian original) Zbl 0631.73084

Guz’, A. N.

Sov. Phys., Dokl. 31, 547-548 (1986); translation from Dokl. Akad. Nauk SSSR 289, 310-313 (1986).

For normal separation and transverse shear cracks we show that the singularity order at the crack tip in problems of brittle fracture mechanics of materials with initial stresses [the author, Brittle fracture mechanics of initially stressed materials (1983; Zbl 0535.73076)] is identical to the singularity order at the crack tip in corresponding problems of classic linear brittle fracture mechanics.

MSC:

74R05	Brittle damage
74G70	Stress concentrations, singularities in solid mechanics

Keywords:

Riemann-Hilbert problem; normal separation; transverse shear cracks; singularity order; crack tip; initial stresses