The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems
Open accessAbstract
Abstract The paper presents combination of discrete element method (DEM) and finite element method (FEM) for dynamic analysis of geomechanics problems. Combined models can employ spherical (or cylindrical in 2D) rigid elements and finite elements in the discretization of different parts of the system. The FEM is a suitable tool to model soil/rock materials while the FEM in many cases can be a better choice to model other parts of the system considered. A typical example can be an idealization of rock cutting with a tool discretized with finite elements and rock or soil samples modelled with discrete elements. The FEM presented in the paper allows large elasto-plastic deformations in the solid regions. Such problems require the use of stabilized FEM to deal with the incompressibility constraint in order to eliminate the volumetric locking defect, especially when using triangular and tetrahedra elements with equal order interpolation for the displacement and the pressure variables. In the paper a stabilization based on the finite calculus (FIC) approach is used. Both theoretical algorithms of DEM and stabilized FEM are implemented in an explicit dynamic code. The paper presents some details of both formulations. A combined numerical algorithm is described finally. Selected numerical results illustrate the possibilities and performance of discrete/finite element analysis in geomechanics problems.
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Cites
A discrete numerical model for granular assemblies
Cundall, P. A., & Strack, O. D. L. (1979) · Géotechnique · doi:10.1680/geot.1979.29.1.47 · Cited by 17,527
Zienkiewicz, O. C. (1989) · Cited by 14,802
Contact and Rubbing of Flat Surfaces
Archard, J. F. (1953) · Journal of Applied Physics · doi:10.1063/1.1721448 · Cited by 7,892
The finite element method with Lagrangian multipliers
Babuska, I. M. (1973) · Numerische Mathematik · doi:10.1007/bf01436561 · Cited by 1,684
Hughes, T. J. R., Franca, L. P., & Hulbert, G. M. (1989) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/0045-7825(89)90111-4 · Cited by 1,458
Cundall, P. A. (1988) · International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts · doi:10.1016/0148-9062(88)92293-0 · Cited by 1,158
Campbell, C. S. (1990) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.22.010190.000421 · Cited by 1,122
Oñate, E. (1998) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/s0045-7825(97)00119-9 · Cited by 239
Self-citationOñate, E. (2000) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/s0045-7825(99)00198-x · Cited by 178
Self-citationOñate, E., & Garcia, J. (2001) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/s0045-7825(01)00306-1 · Cited by 105
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Metadata
- Authors
- Oñate, E., & Rojek, J.
- Venue
- Computer Methods in Applied Mechanics and Engineering
- Publisher
- Elsevier BV
- Published
- 2004-07
- Volume
- 193
- Issue
- 27-29
- Pages
- 3087-3128
- ISSN
- 0045-7825 (ISSN-L)
- OpenAlex
- W1999142786
- Cited by
- 289
- References
- 11
- FWCI
- 5.62
- Type
- journal article
- Language
- en
- Open access
- green
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- Oñate, E., & Rojek, J. (2004). Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems. Computer Methods in Applied Mechanics and Engineering. https://doi.org/10.1016/j.cma.2003.12.056
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