<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The paper presents the exact analytic solution to the antiplane problem for a non-homogeneous bimaterial medium containing closed interfacial cracks, which faces can move relatively to each other with dry friction. The medium is subjected to the action of normal and arbitrary single loading in a longitudinal direction. Based on the discontinuity function method the problem is reduced to the solution of the system of singular integral-differential equations for stress and displacement discontinuities at the possible slippage zones. Influence of loading parameters and the effects of friction on the sizes of these zones is analyzed. The stress intensity factors, stress and displacement discontinuities, energy dissipation are determined for several characteristic types of external loading.</p></abstract>

The paper presents the exact analytic solution to the antiplane problem for a non-homogeneous bimaterial medium containing closed interfacial cracks, which faces can move relatively to each other with dry friction. The medium is subjected to the action of normal and arbitrary single loading in a longitudinal direction. Based on the discontinuity function method the problem is reduced to the solution of the system of singular integral-differential equations for stress and displacement discontinuities at the possible slippage zones. Influence of loading parameters and the effects of friction on the sizes of these zones is analyzed. The stress intensity factors, stress and displacement discontinuities, energy dissipation are determined for several characteristic types of external loading.

Antiplane Deformation of a Bimaterial Containing an Interfacial Crack with the Account of Friction I. Single Loading

Faculty of Mechanical Engineering, Bialystok University of Technology, 45C, Wiejska Str., 15-351 Bialystok, Poland

Ukrainian Academy of Printing, Pidgolosko Str. 19, 79020 L’viv, Ukraine

Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

Acta Mechanica et Automatica

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

The paper presents the exact analytic solution to the antiplane problem for a non-homogeneous bimaterial medium containing closed interfacial cracks, which...

Antiplane Deformation of a Bimaterial Containing an Interfacial Crack with the Account of Friction I. Single Loading

Publié en ligne: 14 août 2015

Pages: 115 - 121

Reçu: 03 mars 2015

Accepté: 23 juil. 2015

DOI: https://doi.org/10.1515/ama-2015-0020

Mots clés
Friction, Interfacial Crack, Energy Dissipation, Stress Intensity Factor, Antiplane Deformation, Longitudinal Shear, Bimaterial, Discontinuity Functions

© Bialystok University of Technology

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

Antiplane Deformation of a Bimaterial Containing an Interfacial Crack with the Account of Friction I. Single Loading

Publié en ligne: 14 août 2015

Pages: 115 - 121

Reçu: 03 mars 2015

Accepté: 23 juil. 2015

DOI: https://doi.org/10.1515/ama-2015-0020

Mots clésFriction, Interfacial Crack, Energy Dissipation, Stress Intensity Factor, Antiplane Deformation, Longitudinal Shear, Bimaterial, Discontinuity Functions

© Bialystok University of Technology

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

Mots clés
Friction, Interfacial Crack, Energy Dissipation, Stress Intensity Factor, Antiplane Deformation, Longitudinal Shear, Bimaterial, Discontinuity Functions