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7 Elastic Contact

  • Part II. Models and Their Variational Analysis
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Models and Analysis of Quasistatic Contact

Part of the book series: Lecture Notes in Physics ((LNP,volume 655))

Abstract

Existence results for the problem of quasistatic contact between an elastic material and a reactive foundation were first obtained in [18] and [19]. In both papers the normal compliance contact condition was employed. Additional results were obtained in [25, 199, 200]. Recently, Andersson in [24] succeeded in passing to the normal compliance limit and established the existence of a weak solution for the problem with the idealized Signorini contact condition. In this chapter we deal with contact models for linearly elastic materials of the form (6.4.1), and we assume that conditions (6.4.2) are satisfied.

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Shillor, M., Sofonea, M., Telega, J.J. 7 Elastic Contact. In: Models and Analysis of Quasistatic Contact. Lecture Notes in Physics, vol 655. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44643-9_7

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  • DOI: https://doi.org/10.1007/978-3-540-44643-9_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22915-5

  • Online ISBN: 978-3-540-44643-9

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