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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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 129 • Issue 8 • August 2003
Pages: 918 - 926
Copyright
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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