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{\bf Material Voids in Elastic Solids with Anisotropic Surface Energies}

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

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Nicola Fusco\\
Dipartimento di Matematica e Applicazioni ``R. Caccioppoli''\\
Universit\`a degli Studi di Napoli ``Federico II''\\
Napoli, Italy\\
 n.fusco@unina.it

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

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Vincent  Millot\\
Universit\'e Paris Diderot - Paris 7\\
CNRS UMR 7598 Laboratoire J.L. Lions\\
Paris, France\\
millot@math.jussieu.fr
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\noindent {\bf 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.  1


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