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

Gilles A. Francfort; Alessandro Giacomini

doi:10.1007/s11401-015-0978-5

Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (5) : 813 -828. DOI: 10.1007/s11401-015-0978-5

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

Gilles A. Francfort ¹^,^a
, Alessandro Giacomini ²

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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.

Keywords

Plasticity / Variational Evolutions / Interfaces / Functions of bounded deformation

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Gilles A. Francfort, Alessandro Giacomini. The role of a vanishing interfacial layer in perfect elasto-plasticity. Chinese Annals of Mathematics, Series B, 2015, 36(5): 813-828 DOI:10.1007/s11401-015-0978-5

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