| Abstract: | The limit equilibrium of elastoplastic body is studied under the conditions of a plane problem. The body contains a linear
inclusion, which is rigid but of finite rupture strength. The plastic or prefracture zones develop near the ends of the inclusion
and are modeled by slip cracks along the matrix—inclusion interface. A new interpretation of the boundary conditions is proposed
to solve a model problem for such a composition, and its analytical solution is derived. Two possible mechanisms of local
fracture are considered: (a) fracture of the inclusion and (b) separation of the inclusion. The critical length of the inclusion
is determined. This length together with the elastic and strength parameters of the composition determines the mechanism of
local fracture. The limit loads are found for each mechanism of fracture.
State Academy of Water Industry, Rovno, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 36, No. 7, pp. 123–129, July,
2000. |
