A quasistatic frictional contact problem with adhesion for nonlinear elastic materials

Electronic Journal of Differential Equations

关键词: Nonlinear elastic materials;    adhesion;    normal compliance;    time-discretization;    fixed point;    quasistatic;    weak solution;   

DOI  :  

来源: DOAJ

【 摘 要 】

The aim of this paper is to study a quasistatic contact problem between anonlinear elastic body and a foundation. The contact is adhesive andfrictional and is modelled with a version of normal compliance condition andthe associated Coulomb's law of dry friction. The evolution of the bondingfield is described by a first order differential equation. We establish thevariational formulation of the mechanical problem and prove an existenceresult of the weak solution if the coefficient of friction is sufficientlysmall by passing to the limit with respect to time. The proofs are based onarguments of time-discretization, compactness, lower semicontinuity andBanach fixed point.

【 授权许可】

Unknown