<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Faculty of Mechanical Engineering, Department of Mechanics and Applied Computer Science Application

Faculty of Mechanics and Mathematics, Department of Mechanics

Ivan Franko National University of L’viv

Faculty of Applied Mathematics and Informatics, Department of Programming

Faculty Training Specialists Battle (Operational) Software, Department of Engineering Mechanics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The bending problem of an infinite, piecewise homogeneous, isotropic plate with circular interfacial zone and two coaxial radial cracks is solved on the...

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

Publié en ligne: 30 avr. 2020

Pages: 16 - 21

Reçu: 05 déc. 2019

Accepté: 23 mars 2020

DOI: https://doi.org/10.2478/ama-2020-0003

Mots clés
Bending, plate, interfacial zone, radial cracks, contact force, complex potentials, moment intensity factors, limit load

© 2020 Heorgij Sulym et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Publié en ligne: 30 avr. 2020

Pages: 16 - 21

Reçu: 05 déc. 2019

Accepté: 23 mars 2020

DOI: https://doi.org/10.2478/ama-2020-0003

Mots clésBending, plate, interfacial zone, radial cracks, contact force, complex potentials, moment intensity factors, limit load

© 2020 Heorgij Sulym et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Bending, plate, interfacial zone, radial cracks, contact force, complex potentials, moment intensity factors, limit load