CaltechAUTHORS
  A Caltech Library Service

Application of the numerical manifold method for stress wave propagation across rock masses

Zhao, G. F. and Zhao, X. B. and Zhu, J. B. (2014) Application of the numerical manifold method for stress wave propagation across rock masses. International Journal for Numerical and Analytical Methods in Geomechanics, 38 (1). pp. 92-110. ISSN 0363-9061. https://resolver.caltech.edu/CaltechAUTHORS:20140103-142212918

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20140103-142212918

Abstract

In this paper, the numerical manifold method (NMM) is extended to study wave propagation across rock masses. First, improvements to the system equations, contact treatment, and boundary conditions of the NMM are performed, where new system equations are derived based on the Newmark assumption of the space–time relationship, the edge-to-edge contact treatment is further developed for the NMM to handle stress wave propagation across discontinuities, and the viscous non-reflection boundary condition is derived based on the energy minimisation principle. After the modification, numerical comparisons between the original and improved NMM are presented. The results show that the original system equations result in artificial numerical damping, which can be overcome by the Newmark system equations. Meanwhile, the original contact scheme suffers some calculation problems when modelling stress wave propagation across a discontinuity, which can be solved by the proposed edge-to-edge contact scheme. Subsequently, the influence of the mesh size and time step on the improved NMM for stress wave propagation is studied. Finally, 2D wave propagation is modelled, and the model's results are in good agreement with the analytical solution.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1002/nag.2209 DOIArticle
http://onlinelibrary.wiley.com/doi/10.1002/nag.2209/abstractPublisherArticle
Additional Information:© 2013 John Wiley & Sons, Ltd. Received 7 March 2013; Revised 15 May 2013; Accepted 5 June 2013. Published online 31 July 2013 in Wiley Online Library. This research is financially supported by the National Natural Science Foundation of P.R. China (Grant No. 41172241), the Australian Research Council (Grant No. DE130100457), and the State Key Laboratory of Coal Resources and Safe Mining, CUMT (Grant No. SKLCRSM11KFA02).
Funders:
Funding AgencyGrant Number
National Natural Science Foundation of P.R. China41172241
Australian Research CouncilDE130100457
State Key Laboratory of Coal Resources and Safe Mining, CUMTSKLCRSM11KFA02
Subject Keywords:numerical manifold method; stress wave propagation; rock masses
Issue or Number:1
Record Number:CaltechAUTHORS:20140103-142212918
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140103-142212918
Official Citation:Zhao, G. F., Zhao, X. B. and Zhu, J. B. (2014), Application of the numerical manifold method for stress wave propagation across rock masses. Int. J. Numer. Anal. Meth. Geomech., 38: 92–110. doi: 10.1002/nag.2209
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:43208
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 Jan 2014 22:29
Last Modified:03 Oct 2019 06:05

Repository Staff Only: item control page