An elastic contact problem with adhesion and normal compliance

• Autorzy: Sofonea M. , Matei A.
• Języki publikacji: EN

Abstrakty

EN

We study a mathematical problem describing the friction- less adhesive contact between an elastic body and a foundation. The adhesion process is modelled by a surface variable, the bonding field, and the contact is modelled with a normal compliance condition; the tangential shear due to the bonding field is included; the elastic consti- tutive law is assumed to be nonlinear and the process is quasistatic. The problem is formulated as a nonlinear system in which the unknowns are the displacement, the stress and the bonding field. The existence of a unique weak solution for the problem is established by using arguments for differential equations followed by the construction of an appropriate contraction mapping.

Słowa kluczowe

EN

quasistatic contact; normal compliance; adhesion; elastic material; weak solution; fixed point

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2006
• Tom: Vol. 12, nr 1
• Strony: 19--36
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Sofonea M.

autor

Matei A.

• Laboratoire de Mathematiques et dePhysique pour les Systemes. Universite de Perpignan, 52 Avenue Paul Alduy, 66860 Perpignan, France,

Bibliografia

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