The existence of solutions is proved for unilateral dynamic contact problems of elastic von Kármán plates. Boundary conditions for a free and clamped plate are considered.

A three-dimensional unilateral contact problem for articular cartilage layers attached to subchondral bones shaped as elliptic paraboloids is considered in the framework of the biphasic cartilage model. The main novelty of the study is in accounting not only for the normal (vertical), but also for tangential vertical (horisontal) displacements of the contacting surfaces. Exact general relations...

The existence of solutions is proved for unilateral dynamic contact problems of elastic von Kármán plates. Boundary conditions for a free and clamped plate are considered.

A ligamentous, nonlinear, sliding contact, three-dimensional finite element (FE) model of L2-L3 complex was developed to investigate the biomechanical effect of laminectomy with and without facetectomy. The L2-L3 FE model was validated against experimental study under various physiological loadings and found to match well with the experimental data. Four iatrogenic models (unilateral laminectom...

In this paper, several active set methods based on classical problems arising in Contact Mechanics are analyzed, namely unilateral/bilateral contact associated with Tresca’s/Coulomb’s law of friction small and large deformation. The purpose work is to extend an Inexact Primal–Dual Active Set (IPDAS) method already used Hueber et al. (2008) the formalism dynamics hyper-elasticity. This permits s...

The aim of this work is to study a class dynamic contact problems coupling adhesion and friction between two viscoelastic bodies with nonlinear viscosity operators. boundary conditions concern relaxed unilateral contact, pointwise including possible recoverable behavior. A mixed variational formulation these given as five-field evolution implicit equation coupled differential inclusion describi...