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Mathematical Problems in Engineering
Volume 2016, Article ID 9794605, 9 pages
Research Article

The Application of Nonordinary, State-Based Peridynamic Theory on the Damage Process of the Rock-Like Materials

1School of Civil Engineering, Sichuan University of Science & Engineering, Sichuan, China
2School of Architecture and Civil Engineering, Chengdu University, Chengdu, China

Received 30 May 2016; Revised 3 August 2016; Accepted 16 August 2016

Academic Editor: Ninshu Ma

Copyright © 2016 X. B. Gu and Q. H. Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Peridynamics has a great advantage over modeling the damage process of rock-like materials, which is assumed to be in a continuum interaction with each other across a finite distance. In the paper, an approach to incorporate classical elastic damage model in the nonordinary, state-based peridynamics is introduced. This method can model the dynamic damage process and stress change of rock-like materials. Then two instances about three-point bend experiment are simulated in the rock-like materials. Finally the conclusions are drawn that numerical results are close to the experimental results. So the method has a great predictable value in the geotechnical engineering.