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A Survey of 1-D Problems of Dynamic Contact or Damage

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From Convexity to Nonconvexity

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

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Abstract

We survey four of our recent results on one-dimensional dynamic contact with or without friction or with damage. We present the classical models, the weak or variational formulations and state our results. Тhe purpose of considering one-dimensional problems is to gain insight into the behavior of dynamic models for contact, without having to address the considerable mathematical complications that arise in two or three dimensions.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Oakland University, Rochester, MI, USA

    Meir Shillor

Authors
  1. Meir Shillor
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Editor information

Editors and Affiliations

  1. University of Delaware, USA

    R. P. Gilbert

  2. University of Florida, USA

    P. M. Pardalos

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© 2001 Kluwer Academic Publishers

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Shillor, M. (2001). A Survey of 1-D Problems of Dynamic Contact or Damage. 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_21

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  • DOI: https://doi.org/10.1007/978-1-4613-0287-2_21

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7979-9

  • Online ISBN: 978-1-4613-0287-2

  • eBook Packages: Springer Book Archive

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