Thermomechanical Slip in Elastic Contact Between Identical Materials

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.

New Physical Factors in Contact Interaction of Elastic Bodies Over Closely Matched Surfaces

“…Також слід зазначити, що важливими для контактної взаємодії є термомеханічні деформації. Вони можуть призводити до відносного ковзання за нормального контакту ідентичних тіл [61].…”

Integrated Calculation and Experimental Technology for Analysis of Contact Interaction With Account of Elastic Intermediate Layer

“…В'язкопружне деформування матеріалів також має істотний вплив на контактну поведінку тіл [52][53][54]. Термомеханічні деформації можуть призводити до відносного ковзання за нормального контакту ідентичних тіл [55].…”