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Publication 4

Material Voids in Elastic Solids With Anisotropic Surface Energies

Authors:

CMUIrene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213


Nicola Fusco
University of Napoli
Naples, Italy


CMUGiovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213


CMUVincent Millot
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213


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.
Get the paper in its entirety
11-CNA-005.pdf

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