Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30124
A Coupled Extended-Finite-Discrete Element Method: On the Different Contact Schemes between Continua and Discontinua

Authors: Shervin Khazaeli, Shahab Haj-zamani

Abstract:

Recently, advanced geotechnical engineering problems related to soil movement, particle loss, and modeling of local failure (i.e. discontinua) as well as modeling the in-contact structures (i.e. continua) are of the great interest among researchers. The aim of this research is to meet the requirements with respect to the modeling of the above-mentioned two different domains simultaneously. To this end, a coupled numerical method is introduced based on Discrete Element Method (DEM) and eXtended-Finite Element Method (X-FEM). In the coupled procedure, DEM is employed to capture the interactions and relative movements of soil particles as discontinua, while X-FEM is utilized to model in-contact structures as continua, which may consist of different types of discontinuities. For verification purposes, the new coupled approach is utilized to examine benchmark problems including different contacts between/within continua and discontinua. Results are validated by comparison with those of existing analytical and numerical solutions. This study proves that extended-finite-discrete element method can be used to robustly analyze not only contact problems, but also other types of discontinuities in continua such as (i) crack formations and propagations, (ii) voids and bimaterial interfaces, and (iii) combination of previous cases. In essence, the proposed method can be used vastly in advanced soil-structure interaction problems to investigate the micro and macro behaviour of the surrounding soil and the response of the embedded structure that contains discontinuities.

Keywords: Contact problems, discrete element method, extended-finite element method, soil-structure interaction.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1126049

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 789

References:


[1] L. Jing and O. Stephansson, Fundamentals of discrete element method for rock engineering: Theory and applications, Elsevier, Amsterdam, Netherlands, 2007.
[2] F. V. Donz, V. Richefeu and S. A. Magnier, Advances in discrete element method applied to soil, rock and concrete mechanics, State of the art of geotechnical engineering. Electronic Journal of Geotechnical Engineering, 44, 31., 2009
[3] E. Onate, J. Rojeck, Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems, Computer Methods in Applied Mechanics and Engineering, 193(27):30873128, 2004.
[4] A. R. Khoei, Extended finite element method: Theory and applications, John Wiley and Sons, West Sussex, 2014.
[5] A. Munjiza, The Combined Finite-Discrete Element Method, John Wiley and Sons, West Sussex, 2004.
[6] W. Xu, M. Zang, W. Gao Adaptive combined DE/FE algorithm for brittle fracture of plane stress problems, Computational Mechanics, 54(2):535546, 2014.
[7] C. OSullivan, Particulate discrete element modelling: A geomechanics perspective, Spon Press., 2011.
[8] S. Mohammadi, XFEM Fracture Analysis of Composites, John Wiley and Sons, West Sussex, 2012.
[9] H. k. Dang and M. A. Meguid, An efficient finitediscrete element method for quasi-static nonlinear soilstructure interaction problems, International Journal for Numerical and Analytical Methods in Geomechanics, 37(2), 130-149. doi:10.1002/nag.1089, 2013.
[10] V. Tran, A coupled finite-discrete element framework for soil-structure interaction analysis, PhD thesis, Department of Civil Engineering and Applied Mechanics, McGill University, Montreal, Canada, 2013.
[11] H. G. Matuttis and J. Chen, Understanding the discrete element method: Simulation of non-spherical particles for granular and multi-body systems, John Wiley and Sons (Asia) Pte., 2014.
[12] A. R. Khoei, M. Vahab, A numerical contact algorithm in saturated porous media with the extended finite element method, International Journal of Computational Mechanics 54:10891110, 2014.
[13] H. Chen, X. Y. Zhang, M. Zang, and P. L. Hazell, An accurate and robust contact detection algorithm for particle-solid interaction in combined finite-discrete element analysis, International Journal for Numerical Methods in Engineering, 103(8), 598-624. doi:10.1002/nme.4913, 2015.
[14] V. Tran, M. A. Meguid, and L. Chouinard Three-dimensional analysis of geogrid-reinforced soil using a finite-discrete element framework, International Journal of Geomechanics. DOI: 10.1061/(ASCE)GM.1943-5622.0000410, 2014.
[15] J. C. Butcher, Numerical methods for ordinary differential equations in the 20th century, Journal of Vomputational and Applied Mathematics, 125: 1-29, 2000.
[16] J. C. Butcher, and G. Wanner, Runge-Kutta methods: some historical notes, Journal of Applied Numerical Mathematics, 22: 113-151, 1996.