Elastic-Plastic Dynamic Response of the Tube with Free Boundary Condition Subjected to Impact


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Some experimental results of the free-free tubes laterally impacted by the missile were given and the finite element program LS-DYNA was used to simulate this dynamic response process. The instantaneous deformation of the circular shell given by experiments and computer simulation were compared and discussed. It can be seen that when the impact occur the local dents firstly appear at the beginning of impact. With time increase, the depth of the dents increase, the scope of the deformation of the tube wall is enlarged; the total stiffness of the cross-section of the tube is weaken and decreases at the impact point, the beam-like bending deformation take place and the rigid-body translations occur. Through the computer simulation the exchanged energy between the missile and the tube were acquired. The impact energy of the missile is transferred to internal energy and kinetic energy of the tube. The ratio of the internal energy with the kinetic energy of the tube is great for the weakness rigidity of the tube wall, which is opposite to that of a free-free beam. This research made us deeply understand the character of the response when studying the elastic-plastic behavior of the free circular shell under intense dynamic loading.



Key Engineering Materials (Volumes 340-341)

Edited by:

N. Ohno and T. Uehara




G. Y. Lu and S. Y. Zhang, "Elastic-Plastic Dynamic Response of the Tube with Free Boundary Condition Subjected to Impact", Key Engineering Materials, Vols. 340-341, pp. 263-268, 2007

Online since:

June 2007




[1] Lee E H, Symonds P S. Large Plastic Deformation of Beam under Transverse Impact. J. Appl. Mech., 1952, 19, 308-314.

[2] Symonds P S. Dynamic Load Characteristics in Plastic Bending of Beams. J. Appl. Mech., 1953, 20, 475-481.

[3] Jones N, Wierzbick T. Dynamic Plastic Failure of a Free-Free Beam. Int. J. Impact Engng., 1987, 6(3), 240-255.

[4] Yu T X, Yang J L, Reid S R. Dynamic Behaviour of Elastic- Plastic Free-Free Beam Subjected to Impulsive Loading. Int. J. Solids Structures, 1996, 33(8), 2659-2680.

DOI: 10.1016/0020-7683(95)00169-7

[5] Yang J L, Yu T X, Reid S R. Dynamic Behaviour of A Rigid Perfectly Plastic Free-Free Beam Subjected to Step-Loading at Any Cross-Section Along Its Span. Int. J. Impact Engng, 1998, 21(3), 165-175.

DOI: 10.1016/s0734-743x(97)00048-1

[6] Xi F, Yang J L, Zheng X N, Jin Z G. Dynamic Response of a Rigid, Perfectly Plastic Free-free Beam Subjected to Impulsive Loading. Explosion and Shock Waves, 1998, 18(1), 54-61.

[7] Mu J C, Zhang T G. Initial Deformation Modes of Rigid-plastic Free-free Beams under Transversal Impact. Explosion and Shock Waves, 2000, 20(1), 7-12.

[8] Mu J C, Qiao Z H, Zhang Y F, Zhang T G. Perforation and Deformation of Free-free Beam by Transverse Impact of Flat-nosed Missile at the Middle of Its Span. Explosion and Shock Waves, 2000, 20(3), 200-207.

[9] J.G. Guo, L.J. Zhou, G.Y. Lu, S.Y. Zhang, Experimental Researches and Computer Simulation on Dynamic Researches of Free-Free Tubes Impacted Laterally, 5thAsia-Pacific Conference on SHOCK & IMPACT LOADS ON STRUCTURES November 12-14, 2003, Changshan, Hunan, China 167-172.

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