Mathematical modeling of physical phenomena at a contact area during the linear friction welding process

Abstract

Linear friction welding is a technology to join materials in a solid state. Heating of a contact area is made due friction between moving parts one along other. Many physical phenomena occur in a short time during the process (friction, elastic and plastic deformation, heat release and heat transfer, microstructural changes and phase transitions, etc.), which is why the mathematical models of this process are practically absent, and published are very simplified. In this paper, we describe the contact pressure model and compare it with the standard estimate. It is shown that the developed model allows obtaining more accurate results. The mathematical model of heating the contact zone and heat transfer to the bulk of the samples is also considered. An expression for determining the evolution of temperature with time is obtained.