The thermoelastic contact problem for wavy surfaces with a heat-conducting medium in interface gaps. (English) Zbl 1446.74178
Summary: This paper presents a study on the thermoelastic contact between a wavy surface and a flat surface in the presence of a heat-conducting interstitial medium in interface gaps. The influence of applied mechanical and thermal loads on the deformation of the gaps is taken into account. The contact problem is reduced to a system of singular integro-differential equations for a temperature jump across the gaps and the height of the gaps. Solutions are obtained for the cases of thermoinsulated and heat-conducting gaps. It is shown that, in contrast to the thermoinsulated gap model, the use of the heat-conducting gap model makes it possible to construct a physically correct solution of the contact problem. It is revealed that the wavy interface with heat-conducting gaps exhibits thermal rectification. The effects of the medium’s thermal conductivity, the pressure and heat flow magnitudes and the waviness amplitude on the effective thermal contact resistance and the level of thermal rectification are analysed.
MSC:
| 74M15 | Contact in solid mechanics |
| 74F05 | Thermal effects in solid mechanics |
| 74S70 | Complex-variable methods applied to problems in solid mechanics |
Keywords:
thermoelastic contact; wavy interface; heat-conducting interstitial medium; gap thermal resistance; effective thermal contact resistance; thermal rectificationReferences:
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