<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper studies a thermoelastic anisotropic bimaterial with thermally imperfect interface and internal inhomogeneities. Based on the complex variable calculus and the extended Stroh formalism a new approach is proposed for obtaining the Somigliana type integral formulae and corresponding boundary integral equations for a thermoelastic bimaterial consisting of two half-spaces with different thermal and mechanical properties. The half-spaces are bonded together with mechanically perfect and thermally imperfect interface, which model interfacial adhesive layers present in bimaterial solids. Obtained integral equations are introduced into the modified boundary element method that allows solving arbitrary 2D thermoelacticity problems for anisotropic bimaterial solids with imperfect thin thermo-resistant inter-facial layer, which half-spaces contain cracks and thin inclusions. Presented numerical examples show the effect of thermal resistance of the bimaterial interface on the stress intensity factors at thin inhomogeneities.</p></abstract>

This paper studies a thermoelastic anisotropic bimaterial with thermally imperfect interface and internal inhomogeneities. Based on the complex variable calculus and the extended Stroh formalism a new approach is proposed for obtaining the Somigliana type integral formulae and corresponding boundary integral equations for a thermoelastic bimaterial consisting of two half-spaces with different thermal and mechanical properties. The half-spaces are bonded together with mechanically perfect and thermally imperfect interface, which model interfacial adhesive layers present in bimaterial solids. Obtained integral equations are introduced into the modified boundary element method that allows solving arbitrary 2D thermoelacticity problems for anisotropic bimaterial solids with imperfect thin thermo-resistant inter-facial layer, which half-spaces contain cracks and thin inclusions. Presented numerical examples show the effect of thermal resistance of the bimaterial interface on the stress intensity factors at thin inhomogeneities.

Boundary Integral Equations for an Anisotropic Bimaterial with Thermally Imperfect Interface and Internal Inhomogeneities

Bialystok University of Technology, ul. Wiejska 45C, 15-351 Bialystok, Poland

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

Ivan Franko National University of Lviv, Universytetska Str. 1, 79000 Lviv, Ukraine

Acta Mechanica et Automatica

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

This paper studies a thermoelastic anisotropic bimaterial with thermally imperfect interface and internal inhomogeneities. Based on the complex variable...

Boundary Integral Equations for an Anisotropic Bimaterial with Thermally Imperfect Interface and Internal Inhomogeneities

Published Online: Mar 07, 2016

Page range: 66 - 74

Received: May 04, 2015

Accepted: Feb 26, 2016

DOI: https://doi.org/10.1515/ama-2016-0012

Keywords
Bimaterial, Imperfect Interface, Thermoelastic, Anisotropic, Crack, Thin Inclusion

© 2016 Bialystok University of Technology

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

Boundary Integral Equations for an Anisotropic Bimaterial with Thermally Imperfect Interface and Internal Inhomogeneities

Published Online: Mar 07, 2016

Page range: 66 - 74

Received: May 04, 2015

Accepted: Feb 26, 2016

DOI: https://doi.org/10.1515/ama-2016-0012

KeywordsBimaterial, Imperfect Interface, Thermoelastic, Anisotropic, Crack, Thin Inclusion

© 2016 Bialystok University of Technology

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

Keywords
Bimaterial, Imperfect Interface, Thermoelastic, Anisotropic, Crack, Thin Inclusion