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Material voids in elastic solids with anisotropic surface energies

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posted on 2011-02-01, 00:00 authored by Irene FonsecaIrene Fonseca, Nicola Fusco, Giovanni LeoniGiovanni Leoni, Vincent Millot

This work discusses the role of highly anisotropic interfacial energy for problems involving a material void in a linearly elastic solid. Using the calculus of variations it is shown that the qualitative features of the equilibrium shape of the void demonstrate a strong dependence on the smoothness and convexity of the interfacial energy.

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Publisher Statement

This is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version is available at http://dx.doi.org/10.1016/j.matpur.2011.07.003

Date

2011-02-01

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    Keywords

    Starshaped material voidAnisotropic energyRelaxationWulff shapeRegularityMathematical Sciences not elsewhere classified

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