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Material voids in elastic solids with anisotropic surface energies |
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| Authors: | Irene Fonseca Nicola Fusco Giovanni Leoni Vincent Millot |
| Institution: | aDepartment of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, USA;bDipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli “Federico II”, Napoli, Italy;cUniversité Paris Diderot – Paris 7, CNRS UMR 7598, Laboratoire J.L. Lions, Paris, France |
| Abstract: | 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 important qualitative features of the equilibrium shape of the void may be deduced from smoothness and convexity properties of the interfacial energy. |
| Keywords: | Starshaped material void Anisotropic energy Relaxation Wulff shape Regularity |
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