Journal article
Effects of time integration schemes on discontinuous deformation simulations using the numerical manifold method
International journal for numerical methods in engineering, Vol.112(11), pp.1614-1635
14/12/2017
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Abstract
Numerical stability by using certain time integration scheme is a critical issue for accurate simulation of discontinuous deformations of solids. To investigate the effects of the time integration schemes on the numerical stability of the numerical manifold method, the implicit time integration schemes, ie, the Newmark, the HHT-α, and the WBZ-α methods, and the explicit time integration algorithms, ie, the central difference, the Zhai's, and Chung-Lee methods, are implemented. Their performance is examined by conducting transient response analysis of an elastic strip subjected to constant loading, impact analysis of an elastic rod with an initial velocity, and excavation analysis of jointed rock masses, respectively. Parametric studies using different time steps are conducted for different time integration algorithms, and the convergence efficiency of the open-close iterations for the contact problems is also investigated. It is proved that the Hilber-Hughes-Taylor-α (HHT-α), Wood-Bossak-Zienkiewicz-α (WBZ-α), Zhai's, and Chung-Lee methods are more attractive in solving discontinuous deformation problems involving nonlinear contacts. It is also found that the examined explicit algorithms showed higher computational efficiency compared to those implicit algorithms within acceptable computational accuracy.
Details
- Title
- Effects of time integration schemes on discontinuous deformation simulations using the numerical manifold method
- Creators
- Xiaolei Qu - Beijing University of Civil Engineering and ArchitectureChengzhi Qi - Beijing University of Civil Engineering and ArchitectureGuoyang Fu - RMIT UniversityXiaozhao Li - Beijing University of Civil Engineering and Architecture
- Publication Details
- International journal for numerical methods in engineering, Vol.112(11), pp.1614-1635
- Publisher
- John Wiley & Sons, Ltd.
- Grant note
- Key State Research Program. Grant Number: 2015CB0578005 National Natural Science Foundation of China. Grant Numbers: 41130751, 51478027, 51174012
- Identifiers
- 991013125994802368
- Copyright
- Copyright © 2017 John Wiley & Sons, Ltd.
- Academic Unit
- Faculty of Science and Engineering
- Language
- English
- Resource Type
- Journal article