Abstract
Based on a nonclassical criterial approach associated with the mechanism for local loss of stability in the neighborhood of a defect, a method is proposed for solving problems related to the fracture of a compressible elastic cylinder with a cylindrical crack near its surface for large subcritical deformations. The theory of integral Fourier transforms and series expansions are used to reduce these problems to a system of paired integral equations and then to a uniform system of linear algebraic equations in the contraction parameter.
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