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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 858723, 11 pages
Research Article

Nonlocal Peridynamic Modeling and Simulation on Crack Propagation in Concrete Structures

College of Mechanics and Materials, Hohai University, Nanjing 210098, China

Received 9 July 2014; Revised 4 October 2014; Accepted 5 October 2014

Academic Editor: Sarp Adali

Copyright © 2015 Dan Huang et al. 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.


An extended peridynamic approach for crack propagation analysis in concrete structures was proposed. In the peridynamic constitutive model, concrete material was described as a series of interacting particles, and the short-range repulsive force and anisotropic behavior of concrete were taken into account in the expression of the interactive bonding force, which was given in terms of classical elastic constants and peridynamic horizon. The damage of material was defined locally at the level of pairwise bond, and the critical stretch of material bond was described as a function of fracture strength in the classical concrete failure theory. The efficiency and accuracy of the proposed model and algorithms were validated by simulating the propagation of mode I and I-II mixed mode cracks in concrete slabs. Furthermore, crack propagation in a double-edge notched concrete beam subjected to four-point load was simulated, in which the experimental observations are captured naturally as a consequence of the solution.