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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 250379, 10 pages
Research Article

Plastic Deformation of Metal Tubes Subjected to Lateral Blast Loads

1College of Field Engineering, PLA University of Science and Technology, Nanjing 210007, China
2National Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 10081, China

Received 20 February 2014; Revised 8 November 2014; Accepted 9 November 2014; Published 20 November 2014

Academic Editor: Igor Andrianov

Copyright © 2014 Kejian Song 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.


When subjected to the dynamic load, the behavior of the structures is complex and makes it difficult to describe the process of the deformation. In the paper, an analytical model is presented to analyze the plastic deformation of the steel circular tubes. The aim of the research is to calculate the deflection and the deformation angle of the tubes. A series of assumptions are made to achieve the objective. During the research, we build a mathematical model for simply supported thin-walled metal tubes with finite length. At a specified distance above the tube, a TNT charge explodes and generates a plastic shock wave. The wave can be seen as uniformly distributed over the upper semicircle of the cross-section. The simplified Tresca yield domain can be used to describe the plastic flow of the circular tube. The yield domain together with the plastic flow law and other assumptions can finally lead to the solving of the deflection. In the end, tubes with different dimensions subjected to blast wave induced by the TNT charge are observed in experiments. Comparison shows that the numerical results agree well with experiment observations.