Longitudinal Impact on Viscoplastic Rods—Approximate Methods and Comparisons

[+] Author and Article Information
P. S. Symonds, Thomas C. T. Ting

Brown University, Providence, R. I.

J. Appl. Mech 31(4), 611-620 (Dec 01, 1964) (10 pages) doi:10.1115/1.3629722 History: Received October 10, 1963; Online September 15, 2011


Impact is considered on a rod of finite length whose material exhibits viscoplastic behavior described by a power-law relation between strain rate and dynamic overstress. Strain-hardening and elastic strains are neglected. Solutions previously obtained for the linear case are supplemented by deriving upper and lower bounds for the final strain. The general solution for the nonlinear case, with strain and stress assumed uniform along the rod, is derived and compared with results of the complete solution. The general solution for uniform strain is also compared and contrasted with results of the simplest rigid-plastic (rate independent) theory involving plastic wave propagation.

Copyright © 1964 by ASME
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