A continuum method for granular collapse with μ(I)-rheology-based dynamic earth pressure coefficient--颗粒学报PARTICUOLOGY

Fei, J., Jie, Y., Xiong, H., & Hong, C. (2021). A continuum method for granular collapse with μ(I)-rheology-based dynamic earth pressure coefficient. Particuology, 58, 214-226. https://doi.org/10.1016/j.partic.2021.03.016

A continuum method for granular collapse with μ(I)-rheology-based dynamic earth pressure coefficient

Jianbo Fei ^{a b c}, Yuxin Jie ^d, Hao Xiong ^{a b c *}, Chengyu Hong ^{a b c}

a Underground Polis Academy, Shenzhen University, Shenzhen 518060, China
b Key Laboratory of Coastal Urban Resilient Infrastructures (MOE), Shenzhen University, Shenzhen 518060, China
c College of Civil and Transportation Engineering, Shenzhen University, Shenzhen 518060, China
d State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China

10.1016/j.partic.2021.03.016

Volume 58, October 2021, Pages 214-226

Received 31 August 2020, Revised 13 December 2020, Accepted 26 March 2021, Available online 27 April 2021, Version of Record 3 May 2021.

E-mail: xionghao19529@szu.edu.cn

Highlights

• μ(I) rheology is extended to describe compression and decompression states.

• Dynamic earth pressure coefficient is proposed based on μ(I) rheology.

• Coefficient of earth pressure affects the configurational evolution of a slumping mass.

• Inner static sided axisymmetric region is reproduced when initial aspect ratio is small.

Abstract

In this paper, a continuum model with dynamic earth pressure coefficient is established to describe the granular slump process by introducing μ(I) rheology. This rheology is adopted to quantify the normal stresses in our proposed model rather than shear stresses in classical models. The constitutive laws of different depth-averaged continuum approaches including the hydrodynamic, Savage–Hutter and proposed models are comparatively investigated in terms of the rheological effects on the spread of a granular column. The simulation results indicate that the proposed dynamic model captures some significant features during granular slump on inclined planes with different inclination angles (for example, the runout distance, runout time, and final profile). The proposed model can also reproduce the inner static sided axisymmetric region observed in tests when the granular column's initial aspect ratio (ratio of height to radii) is small.

Graphical abstract

Keywords

Granular material; Slump; Rheology; Continuum method

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