W. Schill, S. Heyden, S. Conti and M. Ortiz The anomalous yield behavior of fused silica glass Journal of the Mechanics and Physics of Solids, 113: 105 - 125 2018 10.1016/j.jmps.2018.01.004
2015
Stefanie Heyden, Bo Li, Kerstin Weinberg, Sergio Conti and Michael Ortiz A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity J. Mech. Phys. Solids, 74: 175-195 2015 http://dx.doi.org/10.1016/j.jmps.2014.08.005
Abstract: We derive and numerically verify scaling laws for the macroscopic fracture energy of poly- mers undergoing crazing from a micromechanical model of damage. The model posits a local energy density that generalizes the classical network theory of polymers so as to account for chain failure and a nonlocal regularization based on strain-gradient elasticity. We specifically consider periodic deformations of a slab subject to prescribed opening dis- placements on its surfaces. Based on the growth properties of the energy densities, scaling relations for the local and nonlocal energies and for the specific fracture energy are derived. We present finite-element calculations that bear out the heuristic scaling relations.