Modeling of Ground Excavation with the Particle Finite-Element Method
Publication: Journal of Engineering Mechanics
Volume 136, Issue 4
Abstract
An excavation process is a nonlinear dynamic problem that includes geometrical, material, and contact nonlinearities. The simulation of ground excavation has to face contact interaction in a changing geometry composed by several solid domains. The particle finite-element method (PFEM) is based on a Lagrangian description for modeling the motion of a continuum medium. The PFEM is particularly suitable for modeling a fluid motion with free surfaces. The application of the PFEM in ground excavation includes the use of the remeshing process, -shape concepts for detecting the domain boundary, contact mechanics laws, material constitutive models, and surface wear models. Everything is correctly matched to quantify the excavation and the corresponding damage caused to the ground. The erosion and wear parameters of the soil/rock material govern the evolution of the excavation process. The preliminary results presented in this paper show that the PFEM it is a very suitable tool for the simulation of ground excavation processes.
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References
Bathe, K. (1982). Finite element procedures in engineering analysis, Prentice-Hall, Englewood Cliffs, N.J.
Belytschko, T., Liu, W., and Moran, B. (2000). Nonlinear finite elements for continua and structures, Wiley, New York.
Calvo, N., Idelsohn, S., and Oñate, E. (2003). “The extended Delaunay tessellation.” Eng. Comput., 20, 583–600.
Edelsbrunner, H., and Mücke, E. (1994). “Three dimensional alpha shapes.” ACM Trans. Graphics, 13(1), 43–72.
Idelsohn, S., Oñate, E., Calvo, N., and Del Pin, F. (2003). “A Lagrangian meshless finite-element method applied to fluid-structure interaction problems.” Comput. Struct., 81, 655–671.
Idelsohn, S., Oñate, E., and Del Pin, F. (2004). “The particle finite-element method a powerful tool to solve incompressible flows with free-surfaces and breaking waves.” Int. J. Numer. Methods Eng., 61, 964–989.
Kuhl, D., and Crisfield, M. (1999). “Energy-conserving and decaying algorithms in nonlinear structural dynamics.” Int. J. Numer. Methods Eng., 45, 569–599.
Labra, C., Rojek, J., Oñate, E., and Zárate, F. (2008). “Advances in discrete element modeling of underground excavations.” Acta Geotech., 3, 317–322.
Oliver, J., Cante, J., Weyler, R., Gonzalez, C., and Hernandez, J. (2007). “Particle finite-element methods in solid mechanics problems.” Computational plasticity, E. Oñate and R. Owen, eds., Springer, New York.
Oliver, J., Cervera, M., Oller, S., and Lubliner, J. (1990). “Isotropic damage models and smeared crack analysis of concrete.” 2nd Int. Conf. on Computer Aided Analysis and Design of Concrete Structures, Zell am See, Austria.
Oñate, E., Celigueta, M., and Idelsohn, S. (2006). “Modelling bed erosion in free surface flows by de particle finite-element method.” Acta Geotech., 1(4), 237–252.
Oñate, E., Idelsohn, S., Celigueta, M., and Rossi, R. (2008). “Advances in the particle finite-element method for the analysis of fluid-multibody interaction and bed erosion in free surface flows.” Comput. Methods Appl. Mech. Eng., 197(19–20), 1777–1800.
Oñate, E., Idelsohn, S., Del Pin, F., and Aubry, F. (2004). “The particle finite-element method: An overview.” Int. J. Numer. Methods Eng., 1(2), 964–989.
Rabinowicz, E. (1995). Friction and wear of materials, Wiley, New York.
Wriggers, P. (2006). Computational contact mechanics, 2nd Ed., Springer, New York.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 4 • April 2010
Pages: 455 - 463
Copyright
© 2010 ASCE.
History
Received: Jul 28, 2008
Accepted: Sep 2, 2009
Published online: Sep 3, 2009
Published in print: Apr 2010
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