Dynamic Behavior of a Clamped Plastic Beam With Cracks at Supporting Ends Under Impact

[+] Author and Article Information
F. L. Chen, T. X. Yu

Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

J. Pressure Vessel Technol 121(4), 406-412 (Nov 01, 1999) (7 pages) doi:10.1115/1.2883723 History: Received October 29, 1998; Revised August 04, 1999; Online February 11, 2008


This paper examines a projectile impact on a rigid-plastic beam with cracks at the fully clamped ends. By assuming the cracked sections yield immediately after impact, a three-hinge/two-hinge mechanism for the response process is constructed so that a complete solution considering the interaction between bending moment M and axial force N is derived. The key of the formulation is to find a complementary equation concerning the axial force N . To predict accurately the stability of the initial cracks, the J -integral criterion is extended to involve the contribution of the axial force. All the governing equations are nondimensionalized and rearranged, ready for Runge-Kutta integration procedure. The numerical results demonstrate that the mass ratio and the axial force have significant influence on the final deformation, energy partition, and the value of J -integral near the crack tip. The J -integral is not very sensitive to the depth of the initial cracks, but the presence of initial cracks in a beam may alter the failure behavior of the beam after impact, that is, from a strength-type failure to a fracture-type failure.

Copyright © 1999 by The American Society of Mechanical Engineers
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