Numerical Simulation of Granular Column Collapses with Pressure-Dependent Viscoplastic Model using the Smoothed Particle Hydrodynamic Method

Authors

  • Salehizadeh, A. M. Department of Mechanical Engineering, Yazd University, Yazd, Iran
  • Shafiei, A. Department of Mechanical Engineering, Yazd University, Yazd, Iran
Abstract:

This paper presents a numerical analysis of granular column collapse phenomenon using a two-dimensional smoothed particle hydrodynamics model and a local constitutive law proposed by Jop et al. This constitutive law, which is based on the viscoplastic behaviour of dense granular material flows, is characterized by an apparent viscosity depending both on the local strain rate and the local pressure. The rheological parameters are directly derived from the experiments. A simple proposed regularization method used in the viscosity relation to reproduce the stopping condition and the free surface of a granular flow where the pressure is disappeared. Pressure oscillation, as the main disadvantage of the weakly compressible SPH method, leads to an inaccurate pressure distribution. In this research, a new algorithm is proposed to remove the nonphysical oscillations by relating the divergence of velocity to the Laplacian of pressure. The simulations based on the proposed SPH algorithm satisfactorily capture the dynamics of gravity-driven granular flows observed in the experiments. The maximum thickness of a granular flowing on a rough inclined plane is obtained based on the local rheology model and compared with the experimental results. The run-out distances and the slopes of the deposits in the simulations showed a good agreement with the values found in the experiments. The results of the simulation proved that the initial column ratio played an important role in spreading the granular mass

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Viscoplastic modeling of granular column collapse with pressure-dependent rheology

http://dx.doi.org/10.1016/j.jnnfm.2015.02.006 0377-0257/ 2015 Elsevier B.V. All rights reserved. ⇑ Corresponding author at: LSPM, University Paris-Nord, Sorbonne-Paris-Cité, France. E-mail addresses: [email protected] (I.R. Ionescu), [email protected] (A. Mangeney), [email protected] (F. Bouchut), O.Roche@opgc. univ-bpclermont.fr (O. Roche). Ioan R. Ionescu a,b,⇑, Anne Mangeney , ...

full text

Numerical Simulation of Squeezed Flow of a Viscoplastic Material by a Three-step Smoothed Particle Hydrodynamics Method

In the current work, the mesh free Smoothed Particle Hydrodynamics (SPH) method, was employed to numerically investigate the transient flow of a viscoplastic material. Using this method, large deformation of the sample and its free surface boundary were captured without the cumbersome process of the grid generation. This three-step SPH scheme employs an explicit predictor-corrector technique an...

full text

Simulation of Cold Rolling Process Using Smoothed Particle Hydrodynamics (SPH)

Regarding the reported capabilities and the simplifications of the smoothed particle hydrodynamics (SPH) method, as a mesh-free technique in numerical simulations of the deformation processes, a 2-D approach on cold rolling process was provided. Using and examining SPH on rolling process not only caused some minor developments on SPH techniques but revealed some physical realities. The chosen t...

full text

Granular column collapses: further experimental results

Experimental observations of the collapse of initially static columns of sand in axisymmetric and two-dimensional geometries are presented. The experiments were carried out using cylinders and rectangular tanks 30 to 60 cm tall, and cover aspect ratios between 0.5 and 20, where the aspect ratio is defined as the ratio of the initial height to horizontal extent of the column. The final positions...

full text

buckling of viscoelastic composite plates using the finite strip method

در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 38  issue 2

pages  23- 41

publication date 2020-02

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

No Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023