Interactive Failure of Two Impacting Beams
Publication: Journal of Engineering Mechanics
Volume 129, Issue 8
Abstract
A complete analysis of an inelastic beam-to-beam impact is presented. Both beams are of solid, rectangular cross-sections. The problem is formulated based on the momentum conservation and the kinematic and dynamic continuity conditions at the moving wavefront. Closed-form solutions are obtained for transient transverse velocities, deflection profiles, and tensile strains based on the moderately large deflection theory of the beam. Three different regimes of the solution are distinguished, depending on relative values of mass ratios and wave speed ratios. Critical impact velocities to break either of the beams are determined for both the striking and struck beams by assuming both beams fail by tensile necking. However, location of the fracture point depends on relative values of various parameters. It can be right in the contact zone or away from it. It is also shown that after one beam breaks, the other beam will deform further without breaking.
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References
Børvik, T., Langseth, M., Hopperstad, O., and Malo, K.(2002). “Perforation of 12 mm thick steel plates by 20 mm diameter projectiles with flat, hemispherical and conical noses part I: Experimental study.” Int. J. Impact Eng., 27(1), 19–35.
Calder, C. A., and Goldsmith, W.(1971). “Plastic deformation and perforation of thin plates resulting from projectile impact.” Int. J. Solids Struct., 7(7), 863–881.
Corbett, G. G., Reid, S. D., and Johnson, W.(1996). “Impact loading of plates and shells by free flying projectiles: a review.” Int. J. Impact Eng., 18(2), 141–230.
Federal Emergency Management Agency (FEMA). (2000). “World Trade Center building performance study: Data collection, preliminarily observation, and recommendation.” Tech. Rep. FEMA 403, Federal Emergency Management Agency, New York.
Goldsmith, W.(1999). “Non-ideal projectile impact on targets.” Int. J. Impact Eng., 22(2–3), 95–395.
Jones, N.(1976). “Plastic failure of ductile beams loaded dynamically.” J. Eng. Ind., 98(1), 131–136.
Jones, N. (1989). Structural impact, Cambridge University Press, Cambridge, England.
Jones, N., and Shen, W. Q. (1993). “Criteria for inelastic rupture of metal beams subjected to large dynamic loads.” Structural crashworthiness and failure, N. Jones and T. Wierzbicki, eds., Elsevier Applied Science, New York, 95–130.
Mihailescu-Suliciu, M., Sulicio, I., Wierzbicki, T., and Hoo Fatt, M.(1996). “Transient response of an impulsively loaded plastic string on a plastic foundation.” Q. Appl. Math., LIV(2), 327–343.
Wierzbicki, T., and Hoo Fatt, M. S. (1991). “Deformation and perforation of a circular membrane due to rigid projectile impact.” Dynamic response of structures to high energy excitation, T. Geers and Y. Shin, eds., ASME, New York, 73–83.
Wierzbicki, T., and Hoo Fatt, M. S.(1992). “Impact response of a string-on-plastic foundation.” Int. J. Impact Eng., 12(1), 21–36.
Wierzbicki, T., and Xue, L. (2002). “Aircraft impact damage of steel structures.” Proc., 12th Int. Scientific and Technological Transport and Building Infrastructure in Crisis Situation, Military Technical Univ., Warsaw, Poland.
Wierzbicki, T., Xue, L., and Hendry-Brogan, M. (2002). “Aircraft impact damage of the World Trade Center towers.” Tech. Rep. No. 74, Impact and Crashworthiness Lab, Massachusetts Institute of Technology, Cambridge, Mass.
Yu, J., and Jones, N.(1991). “Further experimental investigations on the failure of clamped beams under impact loads.” Int. J. Solids Struct., 27(9), 1113–1137.
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Copyright © 2003 American Society of Civil Engineers.
History
Received: Jun 6, 2002
Accepted: Dec 16, 2002
Published online: Jul 15, 2003
Published in print: Aug 2003
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