Thermoelastic rolling contact problems for multilayer materials. (April 2015)

• Record Type: Journal Article
• Authors: Myśliński, Andrzej
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 619
• Page End: 631
• Publication Date: 2015-04
• Subjects: Nonhomogeneous material -- Thermoelastic contact problem -- Existence of solutions; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.09.022
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The paper deals with the existence of solutions to the thermoelastic rolling contact problems for nonhomogeneous materials. One of the contacting surfaces is assumed to be covered with a graded material coating. The thermal and mechanical features of the coating material depend on its depth. The thermoelastic contact problem is governed by the system of mildly coupled evolutionary boundary value problems with discontinuous coefficients. Quasistatic approach is employed. This approach is based on the assumption that for the observer moving with the rolling body the displacement of the supporting foundation is independent on time. The Faedo–Galerkin approach combined with the penalization and smoothing approach are used to show the existence of solutions to this contact problem. The operator splitting method is used to solve the problem numerically. Numerical results indicating the reduction of mechanically and/or thermally induced stresses are provided.