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Damage-cluster distributions and size effect on strength in compressive failure.
Lucas Girard1, Jérôme Weiss, David Amitrano
1Department of Geography, University of Zürich, Winterthurerstrasse 190 CH-8051, Switzerland. lucas.girard@geo.uzh.ch
Physical Review Letters
|September 26, 2012
Summary
This study models compressive failure in heterogeneous materials, revealing fracture as a critical phenomenon. Results show failure strength follows a normal distribution with minimal size effects, aligning with experimental data.
Area of Science:
- Materials Science
- Solid Mechanics
- Physics
Background:
- Compressive failure in heterogeneous materials like rock and ice is complex.
- Existing models may not fully capture the nuances of local damage accumulation.
Purpose of the Study:
- To develop and validate a continuous progressive-damage model for heterogeneous materials.
- To investigate the critical nature of fracture and size effects in compressive failure.
Main Methods:
- Developed a continuous progressive-damage model.
- Explicitly incorporated local tensile and shear damage.
- Analyzed damage cluster size distributions and order parameter evolution.
Main Results:
- The model accurately reproduces key features of compressive failure in brittle materials.
- Evidence suggests fracture behaves as a critical phenomenon.
- Compressive failure strength distribution is normal with a minor size effect.
Conclusions:
- The progressive-damage model provides a robust framework for understanding material failure.
- Fracture in these materials exhibits critical behavior.
- The findings align well with experimental observations, validating the model.
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