RESEARCH PAPER
A Circular Inclusion and Two Radial Coaxial Cracks with Contacting Faces in a Piecewise Homogeneous Isotropic Plate Under Bending
1
Faculty of Mechanical Engineering, Department of Mechanics and Applied Computer Science Application, Bialystok University of Technology, ul. Wiejska 45 C, 15-351 Bialystok, Poland
2
Faculty of Mechanics and Mathematics, Department of Mechanics, Ivan Franko National University of L’viv, Universytetska St. 1, L’viv, 79000, Ukraine
3
Faculty of Applied Mathematics and Informatics, Department of Programming, Ivan Franko National University of L’viv, Universytetska St. 1, L’viv, 79000, Ukraine
4
Faculty Training Specialists Battle (Operational) Software, Department of Engineering Mechanics, Hetman Petro Sahaidachnyi National Army Academy, Heroes of Maidan Street, 32, L’viv, Ukraine
Submission date: 2019-12-05
Acceptance date: 2020-03-23
Online publication date: 2020-04-30
Publication date: 2020-03-01
Acta Mechanica et Automatica 2020;14(1):16-21
KEYWORDS
Bendingplateinterfacial zoneradial crackscontact forcecomplex potentialsmoment intensity factorslimit load
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.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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