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Implicit Variational Inequalities Arising in Frictional Unilateral Contact Mechanics: Analysis and Numerical Solution of Quasistatic Problems

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From Convexity to Nonconvexity

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 55))

Abstract

This paper is a survey on implicit variational inequalities arising in the study of unilateral contact problems with friction. Recent works on mathematical and numerical approaches of quasistatic problems are presented. The coupling of unilateral contact, friction, and adhesion is considered and previous results are generalized to this case.

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Cocu, M., Raous, M. (2001). Implicit Variational Inequalities Arising in Frictional Unilateral Contact Mechanics: Analysis and Numerical Solution of Quasistatic Problems. In: Gilbert, R.P., Panagiotopoulos, P.D., Pardalos, P.M. (eds) From Convexity to Nonconvexity. Nonconvex Optimization and Its Applications, vol 55. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0287-2_19

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  • DOI: https://doi.org/10.1007/978-1-4613-0287-2_19

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7979-9

  • Online ISBN: 978-1-4613-0287-2

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