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

<p>The contact problem for interaction between an elastic sphere and an elastic half-space is considered taking into account partial thermomechanical frictional slip induced by thermal expansion of the half-space. The elastic constants of the bodies are assumed to be identical. The Amontons–Coulomb law is used to account for friction. The problem is reduced to non-linear boundary integral equations that correspond to the initial stage of mechanical loading and the subsequent stage of thermal loading. The dependences of the contact stress distribution, relative displacements of the contacting surfaces, dimensions of the stick and slip zones on temperature of the half-space are studied numerically. It was revealed that an increase in temperature causes increases in the shear contact stress and the relative shear displacements of the contacting surfaces. The absolute values of the shear contact stress reach their maximum at the boundaries of the stick zones. The greatest value of the moduli of the relative shear displacements are reached at the boundary of the contact region. The stick zone radius decreases monotonically according to a nonlinear law with increasing temperature.</p>
</abstract>

The contact problem for interaction between an elastic sphere and an elastic half-space is considered taking into account partial thermomechanical frictional slip induced by thermal expansion of the half-space. The elastic constants of the bodies are assumed to be identical. The Amontons–Coulomb law is used to account for friction. The problem is reduced to non-linear boundary integral equations that correspond to the initial stage of mechanical loading and the subsequent stage of thermal loading. The dependences of the contact stress distribution, relative displacements of the contacting surfaces, dimensions of the stick and slip zones on temperature of the half-space are studied numerically. It was revealed that an increase in temperature causes increases in the shear contact stress and the relative shear displacements of the contacting surfaces. The absolute values of the shear contact stress reach their maximum at the boundaries of the stick zones. The greatest value of the moduli of the relative shear displacements are reached at the boundary of the contact region. The stick zone radius decreases monotonically according to a nonlinear law with increasing temperature.

Thermomechanical Slip in Elastic Contact Between Identical Materials

Department of Mathematical Problems of Contact Mechanics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Thermomechanical Slip in Elastic Contact Between Identical Materials"}

The contact problem for interaction between an elastic sphere and an elastic half-space is considered taking into account partial thermomechanical frictional...

Thermomechanical Slip in Elastic Contact Between Identical Materials

Publié en ligne: 29 nov. 2021

Pages: 187 - 192

Reçu: 08 nov. 2020

Accepté: 23 juil. 2021

DOI: https://doi.org/10.2478/ama-2021-0024

Mots clés
elastic contact, thermomechanical slip, stick and slip zones, contact stresses, integral equation, numerical solution, iterative method

© 2021 Yurii Streliaiev et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Thermomechanical Slip in Elastic Contact Between Identical Materials

Publié en ligne: 29 nov. 2021

Pages: 187 - 192

Reçu: 08 nov. 2020

Accepté: 23 juil. 2021

DOI: https://doi.org/10.2478/ama-2021-0024

Mots cléselastic contact, thermomechanical slip, stick and slip zones, contact stresses, integral equation, numerical solution, iterative method

© 2021 Yurii Streliaiev et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
elastic contact, thermomechanical slip, stick and slip zones, contact stresses, integral equation, numerical solution, iterative method