Abstract
In this work, we consider a static frictional contact problem between a linearly elastic body and an obstacle, the so-called foundation. This contact is described by a normal compliance condition of such a type that the penetration is restricted with unilateral constraint. The friction is modeled with a nonmonotone law. In order to approximate the contact conditions, we consider a regularized problem wherein the contact is modeled by a standard normal compliance condition without finite penetration. Next, we present a convergence result between the solution of the regularized problem and the original problem. Finally, we provide a numerical validation of this convergence result. To this end we introduce a discrete scheme for the numerical approximation of the frictional contact problems.
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Acknowledgements
This research was supported by a Marie Curie International Research Staff Exchange Scheme Fellowship within the seventh European Community Framework Programme under Grant Agreement no. 2011-295118.
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Ramadan, A., Barboteu, M., Bartosz, K., Kalita, P. (2015). A Contact Problem with Normal Compliance, Finite Penetration and Nonmonotone Slip Dependent Friction. In: Gao, D., Ruan, N., Xing, W. (eds) Advances in Global Optimization. Springer Proceedings in Mathematics & Statistics, vol 95. Springer, Cham. https://doi.org/10.1007/978-3-319-08377-3_29
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DOI: https://doi.org/10.1007/978-3-319-08377-3_29
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