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Persoz’s gephyroidal model described by a maximal monotone differential inclusion

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Abstract

Persoz’s gephyroidal model, which consists of elementary rheological models (dry friction element and linear spring), can be covered by the existence and uniqueness theory for maximal monotone operators. Moreover, classical results of numerical analysis allow one to use a numerical implicit Euler scheme, with convergence order of the scheme equal to one. Some numerical simulations are presented.

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Authors and Affiliations

  1. Laboratoire Mécatronique 3M, Équipe d’accueil A 3318, Université de Technologie de Belfort-Montbéliard, 90010, Belfort Cedex, France

    Jérôme Bastien

  2. URA 1652 CNRS, Département Génie Civil et Bâtiment, Laboratoire Géomatériaux, École Nationale des Travaux Publics de l’Etat, Rue Maurice Audin, 69518, Vaulx-en-Velin Cedex, France

    Claude-Henri Lamarque

Authors
  1. Jérôme Bastien
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  2. Claude-Henri Lamarque
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Correspondence to Jérôme Bastien.

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Bastien, J., Lamarque, CH. Persoz’s gephyroidal model described by a maximal monotone differential inclusion. Arch Appl Mech 78, 393–407 (2008). https://doi.org/10.1007/s00419-007-0171-8

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  • DOI: https://doi.org/10.1007/s00419-007-0171-8

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