An implicit numerical method for wear modeling applied to a hip joint prosthesis problem

Abstract

Some phenomenological wear models exist, but they are most of the time used to post-process numerical simulations. In certain situations however, material loss may be sufficient to change the contact area, contact stresses. In such cases, coupling the wear loss estimation to the mechanical contact modelling becomes essential. It can be done, and is done most of the time, by updating geometry between time-

Intracranial Aneurysmal Pulsatility as a New Individual Criterion for Rupture Risk Evaluation: Biomechanical and Numeric Approach (IRRAs Project)

“…Each sample was studied as appropriate for biomaterials. [16][17][18][19] Only the meridional axis of the aneurysm was chosen to preserve maximum length of the aneurysmal tissue in the sample, given the very small size of each specimen and the fragility of the tissue. Using these measurement series, a model of the tissue behavior was proposed for large displacements to represent the evolution of the stress in the materials.…”

An implicit finite wear contact formulation based on dual mortar methods

“….2/ c;h represents a suitable discrete approximation of the mapping between the contact surfaces (see, e.g., [43,44] for more details). Evaluation of (19)- (20) and all following contact surface integrals is performed by a so-called segment-based integration procedure to guarantee highest possible accuracy [45]. Discretization of the weak nonpenetration constraint (15) yields a discrete weighted gap Q g j at each slave node, viz.…”

Determination of wear in internal combustion engine valves using the finite element method and experimental tests

“…In the context of numerical methods, a few general applications of wear have been published using the Finite Element Method (FEM) [8,9,10,11,12,13,14,15,16] as well as the Boundary Element Method (BEM) [17,18,19,20]. In most of these studies, the formulations have been based on the Archard wear law, and the solutions were computed as the post-processing of a finite element code that solves the contact problem between the bodies, e.g., [21].…”