Breakage Indices for Constitutive Models to Track the Evolution of Particle Crushing Under Continuous Shearing

Researchers have developed numerous breakage indices, predominantly relying on comparisons between pre- and post-test Grain Size Distribution (GSD) curves determined through conventional sieve analysis. Although these indices enable a precise estimation of particle breakage extent, a significant lim...

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Bibliographic Details
Published in:Geotechnical and geological engineering 2024-08, Vol.42 (6), p.5363-5373
Main Authors: Irani, Nazanin, Tafili, Merita, Prada-Sarmiento, Luis Felipe, Wichtmann, Torsten
Format: Article
Language:English
Subjects:
Boundary value problems
Civil Engineering
Constitutive models
Earth and Environmental Science
Earth Sciences
Elastoplasticity
Energy
Geotechnical Engineering & Applied Earth Sciences
Grain size
Grain size distribution
Granular materials
Hydrogeology
Mathematical analysis
Mathematical models
Rockfill
Shear strength
Shearing
Sieve analysis
Size distribution
Technical Note
Tensors
Terrestrial Pollution
Waste Management/Waste Technology
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Summary:Researchers have developed numerous breakage indices, predominantly relying on comparisons between pre- and post-test Grain Size Distribution (GSD) curves determined through conventional sieve analysis. Although these indices enable a precise estimation of particle breakage extent, a significant limitation arises when attempting to integrate them into constitutive models, especially when those models cannot consider GSD as an input. This paper addresses the need for tailored breakage indices designed to suit the specific requirements of different families of constitutive models. The new indices have been developed based on stress and strain tensor invariants or combinations thereof, ensuring the future ease of implementation into various constitutive models. The proposed equations have been validated using five different sets of experiments performed on rockfill material, calcareous, and quartz sands. The comparison between the available experimental data and the estimated degree of particle breakage using the suggested indices demonstrates their adequate performance. The novel indices can be integrated into different constitutive models, including hypoplastic, elastoplastic, and thermodynamically consistent approaches, as well as tested for their practical applicability for boundary value problems.
ISSN:0960-3182
1573-1529
DOI:10.1007/s10706-024-02804-6