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Bending of a plate with two equal symmetric cracks along a circular arch with allowance for the contact of their flanks

Abstract

In this paper the problem of one-sided bend of a plate with two symmetric cracks along the arc of circle by bend moments on infinity including a contact of their sides in the presence of geometric and physical symmetry of a sum has been investigated. By virtue of contact of crack’s sides a task solution is given in the form of solution of two tasks: plane problem and bend (classical theory). Using complex potentials and methods of the theory complex variable quantity function, task solution has been reduced to linear conjugation, on the base of which the equation for finding the contact effort between crack’s sides is got. Evident forms for complex potentials, contact efforts between crack’s sides, coefficients of intensity efforts, moments are got for carrying out the numerical analysis, results of which are shown graphically

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