Numerical Analysis of a Contact Problem with Wear

2019/05/14 by Danfu Han, Weimin Han, Han, Danfu +5
Computer Science · Engineering · #35Q74 #49J40 #65K10 #65M60 #74G15 #74M10 #74M15 #74S05 #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Mechanical stress and fatigue analysis #Numerical Analysis (math.NA) #Railway Engineering and Dynamics

paper · pdf · doi:10.48550/arxiv.1905.05541

openalex publication_date 2019/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper represents a sequel to the previous one, where numerical solution of a quasistatic contact problem is considered for an elastic body in frictional contact with a moving foundation. The model takes into account wear of the contact surface of the body caused by the friction. Some preliminary error analysis for a fully discrete approximation of the contact problem was provided in the previous paper. In this paper, we consider a more general fully discrete numerical scheme for the contact problem, derive optimal order error bounds and present computer simulation results showing that the numerical convergence orders match the theoretical predictions.

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