CMU Campus
Center for                           Nonlinear Analysis
CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact
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.

Get the paper in its entirety as

Back to CNA Publications