Open AccessTHERMOELASTODYNAMIC INSTABILITY OF CONTACT PROBLEM SOLUTION FOR COATING CONSIDERING FRICTIONAL HEAT GENERATION
Author(s) -
V. B. Zelentsov,
B. I. Mitrin,
С. С. Волков,
A. S. Vasilyev
Publication year - 2014
Publication title -
vestnik donskogo gosudarstvennogo tehničeskogo universiteta
Language(s) - English
Resource type - Journals
eISSN - 1992-6006
pISSN - 1992-5980
DOI - 10.12737/6910
Subject(s) - thermoelastic damping , laplace transform , eigenfunction , coating , displacement (psychology) , plane (geometry) , integral transform , constant (computer programming) , mechanics , mathematical analysis , instability , surface (topology) , materials science , mathematics , geometry , physics , composite material , thermodynamics , eigenvalues and eigenvectors , psychology , quantum mechanics , thermal , computer science , psychotherapist , programming language
A one-dimensional thermoelastic contact problem on the vertical insertion of a rigid half-plane moving horizontally at a constant speed over the elastic coating (strip) while the bottom side of the latter rigidly resting on the non-deforming foundation is considered. On the foundation surface, the temperature is kept constant. A heat flow generated by the frictional contact is directed to the coating. The problem solution is obtained using the Laplace integral transform and is represented in the form of contour integrals. The location of the solution integrand poles is studied at various task options. Temperature, displacement, and stress distributions over the coating depth are derived in the form of the infinite series over eigenfunctions. It is shown that the thermoelastodynamic instability of the obtained solutions is present across the whole time interval and at any velocity of the half-plane sliding over the coating surface.