The asymptotic solution of a contact problem with a half-unknown boundary of the contact region

✍ Scribed by I.I. Argatov

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 267 KB
• Volume: 64
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(00)00067-8

✦ Synopsis

The following problem is considered: a punch, disk-shaped in plan, whose base is an almost circular elliptical paraboloid, is pressed onto the boundary of an elastic half-space. The friction between the bodies in contact is ignored; the punch edges are allowed to separate from the elastic base. It is assumed that the contact region, which is not known a priori, is almost circular. The solution of the problem is constructed by the method of matched asymptotic expansions. The asymptotic form of the boundary of the contact region is presented in explicit form.