Elastodynamic Local Fields for a Crack Running in an Orthotopic Medium

[+] Author and Article Information
A. Piva

Department of Physics, University of Bologna, 40126 Bologna, Italy

E. Radi

Istituto di Scienza delle Construzioni, University of Bologna, 40136, Bologna, Italy

J. Appl. Mech 58(4), 982-987 (Dec 01, 1991) (6 pages) doi:10.1115/1.2897717 History: Received June 12, 1989; Revised July 30, 1990; Online March 31, 2008


The dynamic stress and displacement fields in the neighborhood of the tip of a crack propagating in an orthotropic medium are obtained. The approach deals with the methods of linear algebra to transform the equations of motion into a first-order elliptic system whose solution is sought under the assumption that the local displacement field may be represented under a scheme of separated variables. The analytical approach has enabled the distinction between two kinds of orthotropic materials for which explicit espressions of the near-tip stress fields are obtained. Some results are presented graphically also in order to compare them with the numerical solution given in a quoted reference.

Copyright © 1991 by The American Society of Mechanical Engineers
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