Abstract
Nonclassical problem of fracture mechanics for two parallel cracks under the action of compressive loads, directed along cracks were investigated. The axisymmetrical problem for penny-shaped crack is considered. There are two approaches that are used to investigate such problems “beam approximation” and three-dimensional linearized theory of stability of deformable bodies for finite and small subcritical strains. Within the limits of the offered in second approach the problem is reduced to the solution of system of integral equations Fredholm with a side condition. Using the Bubnov-Galerkin method and numerically analytic technique, the problem was reduced to system of linear equations. As an example numerical research for a composite material was conducted. Critical loads are obtained for small and large distance between cracks. Results for the composite materials behavior are also present and discussed.
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