Cellular Automaton Model of Damage
Published: Monday, January 11, 2010
Journal: Physical Review E, Volume 81, Pages 016105
AIP Permalink: http://link.aps.org/doi/10.1103/PhysRevE.81.016105
Abstract: We investigate the role of equilibrium methods and stress transfer range in describing the process of damage. We find that equilibrium approaches are not applicable to the description of damage and the catastrophic failure mechanism if the stress transfer is short ranged. In the long range limit equilibrium methods apply only if the healing mechanism associated with ruptured elements is instantaneous. Furthermore we find that the nature of the catastrophic failure depends strongly on the stress transfer range. Long range transfer systems have a failure mechanism that resembles nucleation. In short range stress transfer systems the catastrophic failure is a continuous process that in some respects resembles a critical point.