2.1 Interface thermokinematics

Interface kinematics includes cohesion-decohesion and adherence and sliding between the contacting surfaces. We limit to infinitesimal deformation within body and infinitesimal relative displacement at the interface. Considering two deformable bodies B and B ?. B is limited by the boundary ? B = ? B _p, ? ? B _c, ? ? B _u, where on ? B _u, displacement is imposed, on ? B _p, stress vector is imposed, and ? B _c, is the contact surface between B and B ?. The same decomposition holds for B ? (see Fig. 1). B ? is called the target and B the striker. For any point M ? ? B _c, the proximal point M ^? the position of which OM ^? = ? ? ( M ^?, t) is the nearest of that to M ^[8]:

Figure 1: Global contact vectors. After discretization of two solids, the contacting surfaces ? B _c and ? B _c ? are discretized to define the contact elements (dashed lines). A global gap vector whose components are the local contact gaps of each contact element where p is the number of contact elements. A global slipping vector is also defined . Accordingly, global normal contact vector and shear contact vector are defined as and respectively.

The...