ISSN 3041-1815. Physicochemical Mechanics of Materials. 2026.
Volume 62, Issue 3
Analysis of thermoelastic contact interaction of bodies with a nonlinear winkler layer and a groove
Prokopyshyn I. I. 
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine. (https://ror.org/05dry3213)
Serednytska Kh. I.
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine. (https://ror.org/05dry3213)
Keywords
thermo-elasticity, contact interaction, nonlinear Winkler layer, surface groove, variational equations, domain decomposition method.
Cite as
Prokopyshyn I. I. and Serednytska Kh. I. Analysis of thermoelastic contact interaction of bodies with a nonlinear winkler layer and a groove. Physicochemical Mechanics of Materials. 2026. 62(3), 154-161.
Abstract
A plane thermo-elasticity problem of the contact of two bodies with a nonlinear Winkler layer and a surface groove is considered. During contact interaction, the nonlinear inter¬layer resists the deformation of bodies and heat transfer. The presence of a groove leads to the formation of a gap, the height and width of which changes during loading. It is assumed that the gap is filled with a heat-conducting substance, which does not resist the deformation of the bodies. The problem is reduced to a system of linear and nonlinear variational equations, which is solved using a domain decomposition method with finite element approximations. The temperature and stresses in each of the bodies are determined, and their change at the contact surface is analyzed depending on the thermo-elastic characteristics of the layer.