A Variational Model for Plastic Slip and Its Regularization viaΓ-Convergence View Full Text


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Article Info

DATE

2013-02

AUTHORS

Luigi Ambrosio, Antoine Lemenant, Gianni Royer-Carfagni

ABSTRACT

A variational model is presented able to interpret the onset of plastic deformations, here modeled as displacement jumps occurring along slip surfaces at constant yielding stress. The corresponding strain energy functional, leading to a free-discontinuity problem set in the space of SBV functions, is then approximated by a sequence of regularized elliptic functionals following the seminal work by Ambrosio and Tortorelli (Commun. Pure Appl. Math. 43, 999–1036, 1990) within the framework of Γ-convergence. Comparisons between the results obtainable with the free-discontinuity model and its regularized approximation, in terms of stability of the pure elastic phase, irreversibility of plastic slip and response under unloading, are presented, in general, for the 2-D case of antiplane shear and exemplified, in particular, for the 1-D case. More... »

PAGES

201-235

References to SciGraph publications

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  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10659-012-9390-5

    DOI

    http://dx.doi.org/10.1007/s10659-012-9390-5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1033678160


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    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s10659-012-9390-5'

    N-Triples is a line-based linked data format ideal for batch operations.

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    Turtle is a human-readable linked data format.

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    RDF/XML is a standard XML format for linked data.

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