Calculus of Variations and Geometric Measure Theory

I. Fonseca - N. Fusco - G. Leoni - V. Millot

Material voids in elastic solids with anisotropic surface energies

created by fuscon on 22 Feb 2011
modified by leoni on 20 May 2014


Published Paper

Inserted: 22 feb 2011
Last Updated: 20 may 2014

Journal: Journal de mathematiques pures et appliquees
Volume: 96
Pages: 591-639
Year: 2011


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.