Abstract
Nonclassical problem of fracture mechanics for near-surface crack under the action of compressive loads, directed along crack was investigated. The axisymmetrical problem for penny-shaped crack was 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 was 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 were obtained for small and large distance between crack and free surface. Results for the composite materials behavior were also present and discussed.
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