Finite Particle Method for Progressive Failure Simulation of Truss Structures
Publication: Journal of Structural Engineering
Volume 137, Issue 10
Abstract
A structural analysis framework called the finite particle method (FPM) for structure failure simulation is presented in this paper. The traditional finite-element method is generated from continuum mechanics and the variational principle; vector mechanics form the basis of FPM. It discretizes the domain with finite particles whose motions are described by Newton’s second law. Instead of imposing a global equilibrium of the entire continuous system, FPM enforces equilibrium on each particle. Thus, particles are free to separate from one another, which is advantageous in the simulation of structural failure. One of the features of this approach is that no iterations to follow nonlinear laws are necessary, and no global matrices are formed or solved in this method. A convected material frame is used to evaluate the structure deformation and internal force. The explicit time integration is adopted to solve the equation of motion. To simulate the truss structure failure, a failure criterion on the basis of the ideal plastic constitutive model and a failure modeling algorithm are proposed by using FPM. According to the energy conservation study of a two-dimensional (2D) truss, the energy is decomposed and balanced during the failure process. Also, a more complicated three-dimensional (3D) structure failure simulation is given. The comparison of the simulation results and the practical failure mode shows the capability of this method.
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Acknowledgments
The authors are grateful to Professor Ting of Purdue University for his valuable advice during the preparation of this work, including prior access to the vector mechanics. The authors thank Dr. Ivan F. M. Menezes for his invaluable suggestions to this work. The first author would like to thank the Chinese Scholarships Council (CSC) Foundation for students studying abroad. The project is supported by the National High-Tech R&D (863) Program (No. UNSPECIFIED2007AA04Z441) and the National Natural Science Foundation of China (No. NNSFC51108257).
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Published In
Journal of Structural Engineering
Volume 137 • Issue 10 • October 2011
Pages: 1168 - 1181
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Oct 28, 2009
Accepted: Sep 12, 2010
Published online: Sep 22, 2010
Published in print: Oct 1, 2011
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