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Related Experiment Video

Updated: Jul 4, 2026

Comparative Study of Simulation of Temperature Rise in Ring Main Unit

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Published on: July 5, 2024

Energy dissipation statistics in the random fuse model.

Clara B Picallo¹, Juan M López

¹Instituto de Física de Cantabria (IFCA), CSIC-UC, E-39005 Santander, Spain. picallo@ifca.unican.es

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 4, 2008

Summary

This study analyzes dissipated energy statistics in a 2D random fuse model for fracture. Under quasistatic conditions, energy distributions show distinct scaling regions, while finite strain rates lead to a universal decay.

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Area of Science:

Physics
Materials Science
Statistical Mechanics

Background:

Fracture mechanics is crucial for understanding material failure.
The random fuse model provides a framework for studying fracture phenomena.
Dissipated energy statistics offer insights into failure mechanisms.

Purpose of the Study:

To investigate the statistical properties of dissipated energy in the 2D random fuse model.
To compare different methods for computing dissipated energy.
To analyze the impact of strain conditions on energy dissipation.

Main Methods:

Extensive numerical simulations were employed.
The study compared various dissipated energy computation methods.
Both quasistatic and finite strain rate conditions were simulated.

Main Results:

Under quasistatic driving, energy distributions exhibit two scaling regions (E^-0.5 and E^-2.75) with a crossover.
Finite-size effects were significant when considering microfracture energy.
Under finite strain rates, a universal energy distribution decay (E^-1) was observed.

Conclusions:

The statistics of dissipated energy in fracture are sensitive to strain conditions.
The choice of energy computation method and scale influences observed scaling behaviors.
A universal energy decay emerges under dynamic loading conditions.