IMPACT AT INTERMEDIATE VELOCITIES INVOLVING CONTACT PHENOMENA

Abstract
Theoretical relations and experimental data are presented for the collision of two objects at intermediate velocities when both wave propagation and relative indentation of the bodies must be considered. Equations are developed that combine a description of wave phenomena in beams, bars, and plates with a law of contact. Experimental results are shown involving the impact of spheres and conically headed projectiles on bars and beams, and a comparison with the predictions of several theories is provided. The analytical relations are based on equations of motion treating both bars and beams as one-dimensional systems, with the effect of second-order correction factors neglected. The theory of Hertz and a simple postulate concerning perfectly plastic flow at the contact point are compared with the results of tests designed to relate experimentally the contact force as a function of the indentation in a regime where the major portion of the cross section at the point of contact remains elastic. The data were obtained from strain-gage and framing camera measurements.

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