THERMOELASTODYNAMIC INSTABILITY OF CONTACT PROBLEM SOLUTION FOR COATING CONSIDERING FRICTIONAL HEAT GENERATION

Boris Mitrin; Sergey Volkov; Andrey Vasilev; Vladimir Zelentsov

doi:doi:10.12737/6910

THERMOELASTODYNAMIC INSTABILITY OF CONTACT PROBLEM SOLUTION FOR COATING CONSIDERING FRICTIONAL HEAT GENERATION

Published в Vestnik of Don State Technical University · Volume 14, Issue 4, 2014 · Pages 17–29 · Rubrics: Physical and mathematical sciences

DOI 10.12737/6910

Received: 04.12.2014 Accepted: 31.12.2014 Published: 31.12.2014 Language of publication: RUS

Authors

Boris Mitrin · Sergey Volkov · Andrey Vasilev ³ · Vladimir Zelentsov

3 Bauman Moscow State Technical University (professor)

ABSTRACT

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.

KEYWORDS

thermoelastodynamic instability coupled thermoelasticity problem frictional contact coating

Information Text References

Authors:

3. Bauman Moscow State Technical University (professor)

Type:

Article

Pages:

from 17 to 29

Status:

Published

Language:

Russian

Keywords:

thermoelastodynamic instability, coupled thermoelasticity problem, frictional contact, coating

Text

Введение. Теоретическому и экспериментальному исследованию термоупругодинамической неустойчивости скользящего фрикционного контакта уделяется достаточно большое внимание со стороны научно-технического сообщества ([1-9] и другие). При теоретическом изучении задач динамики термоупругого скользящего контакта наиболее часто использующимися методами исследования являются методы малых возмущений [3,4,7], с помощью которых устанавливается термоупругодинамическая устойчивость или неустойчивость решения задачи, определяется параметрическая область устойчивости или неустойчивости решения задачи [5].

References

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