Indentation of an Elastic Layer by an Array of Punches Moving With Steady Velocity

[+] Author and Article Information
L. M. Keer

Northwestern University, Evanston, Ill.

C. Sve

The Aerospace Corporation, El Segundo, Calif.

J. Appl. Mech 38(1), 92-98 (Mar 01, 1971) (7 pages) doi:10.1115/1.3408773 History: Received September 16, 1968; Revised April 22, 1969; Online July 12, 2010


A solution is presented for the problem of an elastic layer that is indented by an infinite array of punches moving with a steady velocity below the Rayleigh wave speed. The layer is assumed to be loaded symmetrically about its midplane. The equations of plane elasticity are used to develop dual series equations which are reduced to a single Fredholm integral equation. An asymptotic solution to the integral equation is developed for the case when the ratio of contact length to punch spacing is small, and it is compared with a numerical solution. Numerical calculations for the effective stiffness of the layer and the stresses along the midplane are included.

Copyright © 1971 by ASME
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