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Elastic-plastic-brittle transitions and avalanches in disordered media
Sohan Kale1, Martin Ostoja-Starzewski1
1Department of Mechanical Science and Engineering, Institute for Condensed Matter Theory and Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, Illinois 61820, USA.
Physical Review Letters
|March 4, 2014
Summary
This study introduces a spring lattice model to simulate material transitions. The model captures elastic-plastic-brittle behavior and plastic strain avalanches in disordered media.
Area of Science:
- Computational Materials Science
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Understanding material behavior under stress is crucial for engineering applications.
- Disordered media exhibit complex elastic-plastic-brittle transitions.
- Simulating these transitions requires robust computational models.
Purpose of the Study:
- To present a novel spring lattice model for simulating elastic-plastic-brittle transitions.
- To investigate the influence of disorder on material response.
- To model plastic strain avalanche phenomena.
Main Methods:
- A spring lattice model with bilinear constitutive laws at the spring level.
- Introduction of power-law disorder in spring yield and failure limits.
- Analysis of stress-strain response, damage accumulation, and fracture surfaces.
Main Results:
- The model effectively simulates elastic-plastic-brittle transitions in disordered media.
- Key parameters control disorder distribution, impacting material response.
- Plastic strain avalanche behavior observed for various material types with power-law disorder.
Conclusions:
- The developed model offers a general framework for studying material transitions.
- It successfully interpolates between elastic-plastic hardening and elastic-brittle behaviors.
- The findings align with experimental observations and related computational models.
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