A Nonlinear Model for the Dynamics of Penetration Into Geological Targets

[+] Author and Article Information
F. R. Norwood, M. P. Sears

Computational Physics and Mechanics Division II-5533, Sandia National Laboratories, Albuquerque, N. M. 87185

J. Appl. Mech 49(1), 26-30 (Mar 01, 1982) (5 pages) doi:10.1115/1.3162065 History: Received June 01, 1981; Revised October 01, 1981; Online July 21, 2009


A general theory is developed for predicting stress and force histories for normal impact and penetration of geological targets by conical-nosed projectiles. To account for general material properties, the target medium is described by arbitrary hydrostat and shear failure-pressure relations. Using the cylindrical cavity approximation, the penetration dynamics reduce to a problem of radially symmetric stress wave propagation involving a nonlinear, ordinary, differential equation in terms of similarity variables. This equation is solved numerically by a shooting technique which is initiated by asymptotic values at the wave front. Numerical results are given for the stresses on the penetrator nose for some specific material models.

Copyright © 1982 by ASME
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