The mechanics of contacting cartilage layers is fundamentally important to understanding the development, homeostasis and pathology of diarthrodial joints. Because of the highly nonlinear nature of both the materials and the contact problem itself, numerical methods such as the finite element method are typically incorporated to obtain solutions. Over the course of five decades, we have moved f...

BACKGROUND Acetabular dysplasia is a major predisposing factor for development of hip osteoarthritis (OA), and may result from alterations to chondrolabral loading. Subject-specific finite element (FE) modeling can be used to evaluate chondrolabral mechanics in the dysplastic hip, thereby providing insight into mechanics that precede OA. OBJECTIVE To evaluate chondrolabral contact mechanics a...

BACKGROUND Osteochondral autograft transfer (OAT) aims at restoring normal articular cartilage surface geometry and articular contact mechanics. To date, no studies have evaluated the contact mechanics of the canine stifle following OAT. Additionally, there are no studies that evaluated the role of the meniscus in contact mechanics following OAT in human or canine femorotibial joints. The objec...

This article develops a general framework for applying algebraic multigrid techniques to constrained systems of linear algebraic equations that arise in applications with discretized PDEs. We discuss constraint coarsening strategies for constructing multigrid coarse grid spaces and several classes of multigrid smoothers for these systems. The potential of these techniques is investigated with t...

We start with a mathematical model which describes the frictionless contact of an elastic body obstacle and prove that it leads to stationary inclusion for strain field. Then, inspired by this model, we consider general in real Hilbert space, governed three parameters. unique solvability as well continuous dependence its solution respect use these results study associated optimal control proble...

In this paper we present a discrete model governing the deformation of convex regular polygon subjected not to cross given flat rigid surface, on which it initially lies in correspondence one point only. First, set up form variational inequalities posed over non-empty, closed and subset suitable Euclidean space. Secondly, show existence uniqueness solution. The provides simplified illustration ...