Hybrid Finite Element and Material Point Method to Simulate Granular Column Collapse from Failure Initiation to Runout
Publication: Geo-Congress 2023
ABSTRACT
The performance evaluation of a potentially unstable slope involves two key components: the initiation of the slope failure and the post-failure runout. The finite element method (FEM) excels at modeling the initiation of instability but quickly loses accuracy in modeling large-deformation problems due to mesh distortion. Hence, the FEM is unable to accurately model post-failure slope runout. Hybrid Eulerian-Lagrangian methods, such as the material point method (MPM), offer a promising alternative for solving large-deformation problems, because particles can move freely across a background mesh, allowing for large deformation without computational issues. However, the use of moving material points in MPM for integration rather than the fixed Gauss points of the FEM reduces the accuracy of MPM in predicting stress distribution and thus failure initiation. We have created a hybrid method by initiating a failure simulation in FEM and subsequently transferring the coordinates, velocities, and stresses to MPM particles to model the runout behavior, combining the strength of both methods. We demonstrate the capability of the hybrid approach by simulating the collapse of a frictional granular column, comparing it to an empirical solution, and evaluating a suitable time to transfer from FEM to MPM by trialing multiple iterations with transfers at different stages of the collapse.
Get full access to this article
View all available purchase options and get full access to this chapter.
REFERENCES
Bardenhagen, S. G., J. U. Brackbill, and D. Sulsky. 2000. The Material-Point Method for Granular Materials. Computer Methods in Applied Mechanics and Engineering 187(3–4): 529–541.
Bardenhagen, S. G., and E. M. Kober. 2004. The Generalized Interpolation Material Point Method. Tech Science Press 5(6), 477–495.
Cuomo, S., A. Di Perna, and M. Martinelli. 2021. Modelling the Spatio-Temporal Evolution of Rainfall-Induced Retrogressive Landslide in an Unsaturated Slope. Engineering Geology 294, 106371.
Kumar, K., and K. Soga. 2019. Large Deformation Modelling in Geomechanics. In: Ilamparuthi, K., Robinson, R. (eds) Geotechnical Design and Practice. Developments in Geotechnical Engineering. Springer, Singapore.
Lajeunesse, E., J. B. Monnier, and G. M. Homsy. 2005. Granular Slumping on a Horizontal Surface. Physics of Fluids 17(10).
McGann, C. R., P. Arduino, and P. Mackenzie-Helnwein. 2012. “Stabilized Single-Point 4- Node Quadrilateral Element for Dynamic Analysis of Fluid Saturated Porous Media.” Acta Geotechnica, 7(4), 297–311.
McKenna, F. 1997. Object-Oriented Finite Element Programming: Frame-Works for Analysis, Algorithms and Parallel Computing. Ph.D. Dissertation, Dept. of Civil Engineering, Univ. of California–Berkeley.
Pan, S., Y. Yamaguchi, A. Suppasri, S. Moriguchi, and K. Terada. 2021. MPM-FEM Hybrid Method for Granular Mass-Water Interaction Problems. Computational Mechanics 68(1), 155–173.
Soundararajan, K. K. 2015. Multi-Scale Multiphase Modelling of Granular Flows (Doctoral Thesis). https://doi.org/10.17863/CAM.14130.
Sulsky, D., Z. Chen, and H. L. Schreyer. 1994. A Particle Method for History Dependent Material. Computer Methods in Applied Mechanics and Engineering 118(1-2), 179–196.
Information & Authors
Information
Published In
History
Published online: Mar 23, 2023
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.