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Publication 11-CNA-005

Material Voids in Elastic Solids With Anisotropic Surface Energies

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

Nicola Fusco
University of Napoli
Naples, Italy
nfusco@unina.it

Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
giovanni@andrew.cmu.edu

Vincent Millot
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
vmillot@andrew.cmu.edu

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 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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