Limiting Equilibrium and Fracture in an Orthotropic Body Containing a Thin Rigid Inclusion

摘要

The limiting equilibrium and type of fracture of an orthotropic body containing a linear rigid inclusion in tension at infinity along the axis of the inclusion is studied under the conditions of plane problem. Localized process zones (of weakened contact) develop along the boundary of the inclusion from its ends to the central part. The analytic solution is obtained with the help of complex potentials by reducing the analyzed problem to the problem of conjugation. The influence of loading and the orthotropy of the matrix on the development of the process zones, the distributions of contact stresses and axial forces in the inclusion, and the character of fracture of the composition are investigated. We determine the ultimate loads of possible separation or rupture of the inclusion and compute these quantities for some special cases.