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Closed-form solution of the equations of caustics about cracks in fracture mechanics

✍ Scribed by N.I. Ioakimidis

Publisher: Elsevier Science
Year: 1984
Tongue: English
Weight: 462 KB
Volume: 317
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(84)90059-0

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✦ Synopsis

The shape of a caustic and its initial curve about a crack in fracture mechanicsjor plane elastic media is defined by a pair of equations, theJirst of which does not in general possess a closed-form solution, being ojjijth or higher degree and, frequently, transcendental. A closedform solution of this equation is obtained on this basis and after an appropriate modi$cation of the method of Burniston and Siewert. An application to the problem of a straight crack under

tensile loading at infinity is made and the diameters of the caustic and its initial curve are evaluated analytically and numerically with excellent accuracy after the solution of an equation ojjijth degree in closed-form.

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