Space‐time stabilized FEM applied on the hyperbolic heat conduction equation for high speed frictional contact

Abstract

AbstractFrictional contact results in dissipation of energy, wherein one part is transformed into thermal energy. This leads to heating under the surface, where the resulting transient temperature fields at short times and high Peclet numbers are of interest. Therefore, the numerical method of finite elements with space‐time stabilization technique is applied on the 2D hyperbolic heat conduction equation of Cattaneo‐Vernotte with respect to a moving frame. It is shown, that the combination of the θ‐Method with Streamline‐Upwind‐Petrov‐Galerkin‐FEM gives satisfying solutions for a wide broadband of Peclet numbers.