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TECHNICAL PAPERS

Singular Solutions in Second-Order Elasticity

[+] Author and Article Information
M. M. Carroll

Rice University, George R. Brown School of Engineering, 6100 Main Street, MS 364 Houston, TX 77005-1892

F. J. Rooney

Depaltment of Civil Engineering, University of California, Berkeley, CA 94720

J. Appl. Mech 66(4), 867-871 (Dec 01, 1999) (5 pages) doi:10.1115/1.2791790 History: Received June 26, 1997; Revised August 16, 1999; Online October 25, 2007

Abstract

The problems of a concentrated point force in an infinite medium (Kelvin's problem), or applied normal to the boundary of a half-space (Boussinesq's problem), as well as the corresponding problems for a concentrated couple, are solved to second order for incompressible isotropic elastic solids. The solutions are based on a simplified form of the second-order equations, obtained previously, and use of the Love's function representation for axisymmetric problems in the linear theory.

Copyright © 1999 by The American Society of Mechanical Engineers
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