Fracturing in the Punched Solid at Longitudinal Shear

Abstract

The problem of mechanics of fracture about nucleation of the cracks which are starting with contours of circular holes punched isotropic of a solid at longitudinal shear is considered. The problem of the equilibrium of the punched solid at longitudinal shear with zones of prefracture is reduced to the solution of one infinite algebraic system and two nonlinear singular the integro-differential equations with a nucleus such as Cauchy. From the fracture of these equations are forces in zones of nucleation of cracks. The condition of the occurrence of a crack is formulated in view of the criterion of the limit traction of the bonds in the material.

Keywords

• perforated body
• pre-fracture zone
• connections between sides
• longitudinal shift