FORMULATION OF THERMOMECHANICAL FRICTIONAL CONTACT BASED ON COMPLEMENTARITY RELATIONS

On the basis of a linear complementarity, a mathematical formulation o f thermomechanical frictional contact is presented. Depending on the s tatus of contact, either a conduction condition or an insulation condi tion is applied. A complementarity condition between heal flow and tem perature difference along the contact surface is found assuming that n o thermal contact resistance exists. This thermal complementarity cond ition is implicitly related with the mechanical one. The resulting lin ear complementarity with additional constraints is solved by a modifie d Lemke's algorithm. Two numerical examples are presented to illustrat e the procedure and solution behaviors.