The crack tip elastic stress field using computer algebra software
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Date
1991
Authors
Ioakimidis, Nikolaos
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon Press
Abstract
In various cases, we are interested in the equations for the elastic stress field components near a crack tip expressed in series forms. Frequently, the dominant terms in these series are not sufficient and additional terms are taken into account. Here we use the computer algebra system DERIVE in order to derive these series symbolically. (Additional popular computer algebra systems can also be successfully used.) The case of a finite straight crack under normal loading at infinity was selected for the illustration of the approach. The obtained symbolic results for
the Westergaard complex potential, its derivative and the stress components are displayed in detail. The present results clearly show that the automatic symbolic series expansion of the components of the elastic field of interest near a crack tip is just a routine process if computer algebra software facilities are used.