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.
Skip Nav Destination
Article navigation
November 1999
Research Papers
Dynamic Behavior of a Clamped Plastic Beam With Cracks at Supporting Ends Under Impact
F. L. Chen,
F. L. Chen
Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
Search for other works by this author on:
T. X. Yu
T. X. Yu
Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
Search for other works by this author on:
F. L. Chen
Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
T. X. Yu
Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
J. Pressure Vessel Technol. Nov 1999, 121(4): 406-412 (7 pages)
Published Online: November 1, 1999
Article history
Received:
October 29, 1998
Revised:
August 4, 1999
Online:
February 11, 2008
Citation
Chen, F. L., and Yu, T. X. (November 1, 1999). "Dynamic Behavior of a Clamped Plastic Beam With Cracks at Supporting Ends Under Impact." ASME. J. Pressure Vessel Technol. November 1999; 121(4): 406–412. https://doi.org/10.1115/1.2883723
Download citation file:
Get Email Alerts
Cited By
Surface Strain Measurement for Non-Intrusive Internal Pressure Evaluation of a Cannon
J. Pressure Vessel Technol (December 2024)
Dynamic Response and Damage Analysis of a Large Steel Tank Impacted by an Explosive Fragment
J. Pressure Vessel Technol (February 2025)
Related Articles
Why Impacted Yarns Break at Lower Speed Than Classical Theory Predicts
J. Appl. Mech (September,2011)
Discrete Time Transfer Matrix Method for Launch Dynamics Modeling and Cosimulation of Self-Propelled Artillery System
J. Appl. Mech (January,2013)
Systematic Synthesis of Large Displacement Contact-Aided Monolithic Compliant Mechanisms
J. Mech. Des (January,2012)
Statistical Comparisons Between Qualification Tests for Gun-Fired Projectiles
J. Appl. Mech (September,2010)
Related Proceedings Papers
Related Chapters
Introduction and Definitions
Handbook on Stiffness & Damping in Mechanical Design
In-Reactor Deformation and Fracture of Austenitic Stainless Steels
Effects of Radiation on Structural Materials
Characterization of Lamina and Interlaminar Damage in Graphite/Epoxy Composites by the Deply Technique
Composite Materials: Testing and Design (6th Conference)