Thermomechanical mortar contact problems with hierarchical refined NURBS for adhesion and anisotropic friction

Abstract

AbstractIn this contribution, we present a novel thermodynamically consistent contact formulation [1]. The thermomechanical framework is written in terms of the first and second law of thermodynamics, providing suitable restrictions on the constitutive law. The contact formulation involves mechanical and thermal contributions across the interface. For the mechanical contribution we apply different contact reactions in normal and tangential direction and decompose the Piola‐traction vector t on the interface. The modeling of contact pressure and adhesion leads to an exponential constitutive model in terms of the normal gap function. Furthermore, the tangential traction is additively decomposed into isotropic and anisotropic parts. For the spatial discretization we employ hierarchical refined NURBS (B‐Splines) and apply a variationally consistent mortar method for the thermomechanical contact interface, see e.g. [2]. In particular, linear Lagrangian shape functions are used for the discrete traction field. The capabilities of this framework are shown within a representative example.