Abstract
We consider the problem of frictional contact between an elastic body and an obstacle, say a foundation. The elastic constitutive law is assumed to be nonlinear and the contact is modeled with a simplified version of Coulomb’s law of dry friction. The novelty consists in the fact that the coefficient of friction depends on the slip. We present two alternative yet equivalent weak formulations of the problem and establish existence, uniqueness and continuous dependence results. The proofs are based on a new result obtained in [10] in the study of elliptic quasivariational inequalities. Moreover, we study the behavior of the solution with respect to the coefficient of friction and obtain a convergence result. Mathematics subject classification (2000): 74M10, 35J85, 49J40.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
