THERMOMECHANICS MODELING OF TWO SOLIDS IN CONTACT: APPLICATIONTO TOTAL HIP ARTHROPLASTY

摘要

This study includes firstly a theoretical formulation of thermomechanical frictional contact between two deformable solids based on the principles of thermodynamics, and secondly a numerical solution of the resulting non-differentiable equations using an augmented Lagrangian and a generalized Newton method to overcome the contact and friction non-linearities. Finally, the model is applied to the thermomechanical problem of the cement polymerization during a Total Hip Arthroplasty for illustration.