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Advances in Civil Engineering
Volume 2012, Article ID 971472, 10 pages
Research Article

Dynamic Crack Propagation Problems of Fibre-Reinforced Concrete

1School of Resources & Civil Engineering, Northeastern University, Shenyang 110004, China
2School of Materials, Shenyang Ligong University, Shenyang 110168, China
3School of Civil Engineering, Harbin Engineering University, Harbin 150001, China

Received 28 June 2011; Accepted 17 October 2011

Academic Editor: Muhammad Hadi

Copyright © 2012 Y. H. Cheng 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.


Applying the built dynamic crack model of fibre concrete, bridging fiber segment is substituted by loads. When a crack propagates its fiber continues to break. By the approaches of the theory of complex functions, the problems dealt with can be translated into Riemann-Hilbert problems. Analytical solutions of the displacements, stresses, and dynamic stress intensity factors under the action of of moving variable loads 𝑃 𝑥 2 / 𝑡 2 and 𝑃 𝑡 3 / 𝑥 2 , respectively, are attained by the ways of self-similar measures. After those analytical solutions are utilized by superposition theorem, the solutions of arbitrary complex problems can be obtained.