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Nonsmooth Mechanics I

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Hemivariational Inequalities

Abstract

In this Chapter we explain the origins of Nonsmooth Mechanics and of the Inequality Problems. To do this we use the two notions of convex and of nonconvex superpotentials. We consider boundary conditions and material laws resulting from convex or nonconvex, nonsmooth energy functions using the concept of sub differential or of generalized gradient. For additional information on these subjects the reader is referred to the monographs and books of Duvaut and Lions [Duv72], Panagiotopoulos [Pan85], Hlavacek et al. [H188], Moreau, Pana-giotopoulos, Strang [Mor88a,b], Antes, Panagiotopoulos [Ant92], as well as to [Mor68,86,88c] and [Ger74].

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© 1993 Springer-Verlag Berlin Heidelberg

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Panagiotopoulos, P.D. (1993). Nonsmooth Mechanics I. In: Hemivariational Inequalities. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51677-1_2

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  • DOI: https://doi.org/10.1007/978-3-642-51677-1_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-51679-5

  • Online ISBN: 978-3-642-51677-1

  • eBook Packages: Springer Book Archive

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