Modeling of shear crack nucleation in a body, weakening by periodic system of circular holes

A mathematical model of crack nucleation in an isotropic body, weakened by periodic system of circular holes, at the transverse shear was constructed. It is assumed that as the intensity of the external load is increase, in the perforated body cracks nuclear. Solution of the problem of the equilibri...

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Bibliographic Details
Date:2013
Main Author: Гасанов, Ф. Ф.
Format: Article
Language:Russian
Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2013
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Online Access:https://journals.uran.ua/jme/article/view/43892
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Journal Title:Energy Technologies & Resource Saving

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Energy Technologies & Resource Saving
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Summary:A mathematical model of crack nucleation in an isotropic body, weakened by periodic system of circular holes, at the transverse shear was constructed. It is assumed that as the intensity of the external load is increase, in the perforated body cracks nuclear. Solution of the problem of the equilibrium of the perforated body at transverse shear with pre-fracture zones is reduced to the solution of two infinitely algebraic systems and two non-linear singular integral equations with Cauchy kernel. From solutions of these equations are found forces in the zones. The criterion of crack nucleation is formulated with the criterion of limit shear of material bonds.