Izvorni znanstveni članak

https://doi.org/10.3336/gm.45.1.09

A quasistatic frictional contact problem with normal compliance and finite penetration for elastic materials

Arezki Touzaline ; Laboratoire de Systèmes Dynamiques, Faculté de Mathématiques, Université des Sciences et de la Technologie Houari Boumediene, BP 32 EL ALIA, Bab Ezzouar, 16111, Algérie

Sažetak

We consider a quasistatic unilateral contact problem with finite penetration between an elastic body and an obstacle, say a foundation. The constitutive law is assumed to be nonlinear and the contact is modelled with normal compliance associated to a version of Coulomb's law of dry friction. Under a smallness assumption on the contact functions, we establish the existence of a weak solution to the problem. The proofs are based on arguments of time-dicretization, compactness and lower semicontinuity.

Ključne riječi

Elastic material; quasistatic process; frictional contact; incremental; normal compliance; Signorini condition; variational inequality; weak solution

Hrčak ID:

52371

URI

https://hrcak.srce.hr/52371

Datum izdavanja:

17.5.2010.

Posjeta: 867 *