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A Circular Inclusion and Two Radial Coaxial Cracks with Contacting Faces in a Piecewise Homogeneous Isotropic Plate Under Bending Cover

A Circular Inclusion and Two Radial Coaxial Cracks with Contacting Faces in a Piecewise Homogeneous Isotropic Plate Under Bending

Open Access
|Apr 2020

Abstract

The bending problem of an infinite, piecewise homogeneous, isotropic plate with circular interfacial zone and two coaxial radial cracks is solved on the assumption of crack closure along a line on the plate surface. Using the theory of functions of a complex variable, complex potentials and a superposition of plane problem of the elasticity theory and plate bending problem, the solution is obtained in the form of a system of singular integral equations, which is numerically solved after reducing to a system of linear algebraic equations by the mechanical quadrature method. Numerical results are presented for the forces and moments intensity factors, contact forces between crack faces and critical load for various geometrical and mechanical task parameters.

DOI: https://doi.org/10.2478/ama-2020-0003 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 16 - 21
Submitted on: Dec 5, 2019
Accepted on: Mar 23, 2020
Published on: Apr 30, 2020
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2020 Heorgij Sulym, Viktor Opanasovych, Ivan Zvizlo, Roman Seliverstov, Oksana Bilash, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.