Modeling of shear crack nucleation in a body, weakening by periodic system of circular holes
Abstract
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.
Downloads
Published
Issue
Section
License
Copyright (c) 2015 Ф. Ф. Гасанов
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
All authors agree with the following conditions:
- The authors reserve the right to claim authorship of their work and transfer to the journal the right of first publication of the work under the license agreement (the agreement).
- Authors have a right to conclude independently additional agreement on non-exclusive spreading the work in the form in which it was published by the jpurnal (for example, to place the work in institution repository or to publish as a part of a monograph), providing a link to the first publication of the work in this journal.
- Journal policy allows authors to place the manuscript in the Internet (for example, in the institution repository or on a personal web sites) both before its submission to the editorial board and during its editorial processing, as this ensures the productive scientific discussion and impact positively on the efficiency and dynamics of citation of published work (see The Effect of Open Access).
