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The role of a vanishing interfacial layer in perfect elasto-plasticity

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Abstract

A two-phase elasto-plastic material is investigated. It is shown that, if the interface is modeled as the limit of a vanishing layer of a third material, then the resulting two-phase material will exhibit a smaller interfacial dissipation than that of a pure two-phase model.

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Authors and Affiliations

  1. LAGA, Université Paris-Nord and Institut Universitaire de France, Avenue J.-B. Clément, 93430, Villetaneuse, France

    Gilles A. Francfort

  2. DICATAM, Sezione di Matematica, Università degli Studi di Brescia, Via Valotti 9, 25133, Brescia, Italy

    Alessandro Giacomini

Authors
  1. Gilles A. Francfort
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  2. Alessandro Giacomini
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Correspondence to Gilles A. Francfort.

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Dedicated to Luc Tartar Notwithstanding His Dislike for Elasto-Plasticity

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Francfort, G.A., Giacomini, A. The role of a vanishing interfacial layer in perfect elasto-plasticity. Chin. Ann. Math. Ser. B 36, 813–828 (2015). https://doi.org/10.1007/s11401-015-0978-5

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  • DOI: https://doi.org/10.1007/s11401-015-0978-5

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