Calculus of Variations and Geometric Measure Theory

A. Braides - M. Cicalese

Surface energies in nonconvex discrete systems

created on 28 Dec 2003
modified by braidesa on 02 Feb 2008


Published Paper

Inserted: 28 dec 2003
Last Updated: 2 feb 2008

Journal: Math. Mod. Meth. Appl. Sci. (M3AS)
Volume: 17
Pages: 985-1037
Year: 2007


We give a higher-order description of non-convex next-to-nearest neighbour interaction discrete systems, showing the appearence of internal and boundary interfacial energies. In the case of Lennard-Jones type potentialls, the effect of boundary layers on both sides of the fracture is also described. Non-local effects are also highlighted.