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A nonlinear problem in dynamic visco-elasticity with friction

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Abstract

This paper presents a study of the dynamics of a pile driven into the ground under the action of a pile hammer. Due to the effects of friction one is led to a model consisting of a variational inequality. Results about existence, uniqueness and stability of solutions of an initial value problem for this variational inequality are obtained.

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References

  1. G. Duvaut and J. L. Lions,Inequalities in Mechanics and Physics, Springer-Verlag Berlin, Heidelberg, New York, 1976.

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  3. J. L. Lions,Equations Différentielles Opérationelles et Problèmes aux Limites, Springer-Verlag, Berlin, Heidelberg, New York, 1961.

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Authors and Affiliations

  1. Laboratório de Cálculo Centro Brasileiro de Pesquisas Físicas, CBPF, Av. Wenceslau Braz, 71, Rio de Janeiro, RJ, Brasil

    M. A. Raupp, R. A. Feijóo & C. A. de Moura

Authors
  1. M. A. Raupp
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  2. R. A. Feijóo
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  3. C. A. de Moura
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Raupp, M.A., Feijóo, R.A. & de Moura, C.A. A nonlinear problem in dynamic visco-elasticity with friction. Bol. Soc. Bras. Mat 9, 61–82 (1978). https://doi.org/10.1007/BF02584794

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  • DOI: https://doi.org/10.1007/BF02584794

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