Construction of a Dynamic Weight Function From a Finite-Element Solution for a Cracked Beam

[+] Author and Article Information
H. J. Petroski, J. L. Glazik

Engineering Mechanics Program, Reactor Analysis and Safety Division, Argonne National Laboratory, Argonne, Ill. 60439

J. D. Achenbach

Department of Civil Engineering, The Technological Institute, Northwestern University, Evanston, Ill. 60201

J. Appl. Mech 47(1), 51-56 (Mar 01, 1980) (6 pages) doi:10.1115/1.3153637 History: Received December 01, 1978; Revised July 01, 1979; Online July 21, 2009


An elastodynamic weight function for a cracked beam is shown to be determined by the elastodynamic stress intensity factor corresponding to a single crack-face loading of the beam. This weight function suffices to determine the time-dependent stress intensity factor corresponding to other dynamic loadings of the same cracked beam. The example of a center-cracked pinned-pinned beam serves to illustrate and verify the technique. The weight function is constructed from finite element results for the case of a step pressure distributed uniformly along the beam, and the case of a step load concentrated at the crack plane serves as an illustration of the efficacy of the weight function so constructed.

Copyright © 1980 by ASME
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