Energy dissipation statistics in the random fuse model

Abstract

We study the statistics of the dissipated energy in the two-dimensional random fuse model for fracture under different imposed strain conditions. By means of extensive numerical simulations we compare different ways to compute the dissipated energy. In the case of a infinitely slow driving rate (quasi-static model) we find that the probability distribution of the released energy shows two different scaling regions separated by a sharp energy crossover. At low energies, the probability of having an event of energy $E$ decays as $\sim E^{-1/2}$, which is robust and independent of the energy quantifier used (or lattice type). At high energies fluctuations dominate the energy distribution leading to a crossover to a different scaling regime, $\sim E^{-2.75}$, whenever the released energy is computed over the whole system. On the contrary, strong finite-size effects are observed if we only consider the energy dissipated at microfractures. In a different numerical experiment the quasi-static dynamics condition is relaxed, so that the system is driven at finite strain load rates, and we find that the energy distribution decays as $\mathcal{P}(E)\sim E^{-1}$ for all the energy range.

9 pages, ReVTeX, 8 eps figs, to appear in Phys Rev E

References in corpus (23)

• Crackling Noise
• Statistical Models of Fracture
• Intermittent dislocation flow in viscoplastic deformation
• First-Order Transition in the Breakdown of Disordered Media
• Scaling exponents for Barkhausen avalanches in polycrystals and amorphous ferromagnets
• Scaling and universality in rock fracture
• Acoustic Emission from Paper Fracture
• Scaling exponents for fracture surfaces in homogenous glass and glassy ceramics
• Avalanches in Breakdown and Fracture Processes
• Crossover Behavior in Burst Avalanches of Fiber Bundles: Signature of Imminent Failure
• Acoustic Emission from crumpling paper
• Onset of Propagation of Planar Cracks in Heterogeneous Media
• Crack roughness and avalanche precursors in the random fuse model
• Crossover behavior in failure avalanches
• Crack avalanches in the three dimensional random fuse model
• Dynamic Fracture Model for Acoustic Emission
• An Efficient Algorithm For Simulating Fracture Using Large Fuse Networks
• Morphology of two dimensional fracture surface
• Scaling of interfaces in brittle fracture and perfect plasticity
• Fracture surfaces of heterogeneous materials: a 2D solvable model
• Roughness of tensile crack fronts in heterogenous materials
• Crackling noise in paper peeling
• Experimental Realization of the Fuse Model of Crack Formation

Cited by in corpus (1)

• The effect of inertia on sheared disordered solids: Critical scaling of avalanches in two and three dimensions