A simple constitutive framework for thinning-thickening transitions in dense granular-fluid mixtures.
- 1Institut für Geotechnik, Universität für Bodenkultur Wien (BOKU University), 1180 Vienna, Austria.
Abstract
A unified constitutive framework is developed for dense fine-granular mixtures exhibiting apparent shear thinning and continuous or discontinuous shear thickening in the macro-viscous flow regime. The effective granular stress is decomposed into viscoplastic structural and suspension-stress contributions. The former is obtained from a hypoplastic model combined with a Herschel-Bulkley rheology, whereas the latter encompasses the μ(Im) rheology and the Wyart-Cates frictional-contact transition, and shows stress-dependent jamming state. Benchmark calculations show that the proposed formulation captures the transition between shear-thinning and shear-thickening behaviour. A depth-averaged long-wave analysis further shows that non-monotonicity induced by discontinuous shear thickening may persist to promote instability in the macro-viscous flow regime.
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BibTeX
@article{wang2026simple,
title = {{A simple constitutive framework for thinning-thickening transitions in dense granular-fluid mixtures.}},
author = {Yadong Wang and Wei Wu and Xiaogang Guo and Hongcheng Jiao},
journal = {Acta geotechnica},
year = {2026},
month = aug,
doi = {10.1007/s11440-026-03242-9},
url = {https://europepmc.org/article/MED/42871325},
note = {CC BY},
}
RIS
TY - JOUR
TI - A simple constitutive framework for thinning-thickening transitions in dense granular-fluid mixtures.
AU - Yadong Wang
AU - Wei Wu
AU - Xiaogang Guo
AU - Hongcheng Jiao
PY - 2026
DA - 2026/08/31
JO - Acta geotechnica
DO - 10.1007/s11440-026-03242-9
UR - https://europepmc.org/article/MED/42871325
AB - A unified constitutive framework is developed for dense fine-granular mixtures exhibiting apparent shear thinning and continuous or discontinuous shear thickening in the macro-viscous flow regime. The effective granular stress is decomposed into viscoplastic structural and suspension-stress contributions. The former is obtained from a hypoplastic model combined with a Herschel-Bulkley rheology, whereas the latter encompasses the μ(Im) rheology and the Wyart-Cates frictional-contact transition, and shows stress-dependent jamming state. Benchmark calculations show that the proposed formulation captures the transition between shear-thinning and shear-thickening behaviour. A depth-averaged long-wave analysis further shows that non-monotonicity induced by discontinuous shear thickening may persist to promote instability in the macro-viscous flow regime.
SN - 1861-1125
SN - 1861-1133
ER -