Calculus of Variations and Geometric Measure Theory

A. Braides - G. Dal Maso - A. Garroni

Variational formulation of softening phenomena in Fracture Mechanics: the one-dimensional case

created by braidesa on 01 Feb 2018


Published Paper

Inserted: 1 feb 2018
Last Updated: 1 feb 2018

Journal: Arch. Rational Mech. Anal.
Volume: 146
Pages: 23-58
Year: 1999
Doi: 10.1007/s002050050135


We show that discrete models of atoms subject to nearest-neighbour non-linear interactions approximate continua allowing for softening and fracture. A detailed study is carried out of local minima and stationary points. Scale effects are discussed.