Abstract
Computational simulations of trap door flow in cohesive frictional, materials are presented. We focus on flows where the extraction volume is generated by dilatancy. The dilatancy is caused by micro-cracking associated with the loss of cohesion at the onset of flow and/or the transition of the granulate into a more mobile, more loose packing order. The material behavior is modelled as a non-Newtonian fluid including rigid plastic behavior as a limit case. A rate dependent cohesion term considers the fluid like behavior if collisions dominate the intergranular momentum transfer. The simulations are based on an implicit particle-in-cell finite element code [1] developed by the second author. The implementation of the model equations is benchmarked against an analytical solution for gravity driven flow in an infinite chute.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Moresi, L., Dufour, F., Muhlhaus, H.B.: A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials. J. Comput. Phys. 184, 476–497 (2003)
Chapman, S., Cowling, T.G.: The Mathematical Theory of Non-uniform Gases. Cambridge University Press, Cambridge (1970)
Gudehus, G.: Elastoplastische Stoffgleichungen fuer trockenenen Sand. Ing. Arch. 42(3), 151–169 (1973)
Gudehus, G., Jiang, Y., Liu, M.: Seismo- and thermodynamics of granular solids. Granular Matter 13(4), 319–340 (2011)
Jop, P., Forterre, Y., Pouliquen, O.: A constitutive law for dense granular flows. Nature 44, 727–730 (2006)
Rice, J.R., Lapusta, N., Ranjith, K.: Rate and state dependent friction and the stability of sliding between elastically deformable solids. J. Mech. Phys. Solids 49, 1865–1898 (2001)
Franklin, S.V., Shattuck, M.D.: Kinetic theories for collisional grain flow. In: Handbook of Granular Materials, pp. 155–186 (2016)
Savage, S.B.: The mechanics of fast granular flows. Adv. Appl. Mech. 24, 289–366 (1984)
Hajko, P., Tejchman, J.: Modelling of shear localization during granular flow within non-local hypoplasticity using material point method, pp. 593–598. Springer, Cham (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Muhlhaus, HB., Moresi, L.N. (2019). A Model for Trap Door Flow from a Deep Container. In: Wu, W. (eds) Desiderata Geotechnica. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-030-14987-1_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-14987-1_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-14986-4
Online ISBN: 978-3-030-14987-1
eBook Packages: EngineeringEngineering (R0)