The method of averaging in a contact problem for a system of punches

✍ Scribed by I.I Argatov

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 725 KB
• Volume: 68
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(04)90009-3

✦ Synopsis

The method of matched asymptotic expansions is used to study a contact problem for a system consisting of a large number of small punches situated along a given curve on the boundary of an elastic half-space. The cases of cylindrical punches (the linear problem) and spherical punches (the structurally non-linear contact problem) are considered. In the linear case the reduced logarithmic capacity of the contact area is shown to possess the property of monotonicity and its asymptotic behaviour is determined. The resultant integral equations for the average density of linear pressures are derived.