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Chebyshev approximations to stress intensity factors: An application of ‘DERIVE’

✍ Scribed by Ioakimidis, N. I.

Publisher
Wiley (John Wiley & Sons)
Year
1991
Tongue
English
Weight
315 KB
Volume
7
Category
Article
ISSN
0748-8025

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✦ Synopsis

Chebyshev polynomials have been used extensively for the approximation of functions. Here we apply this approach (together with two Gauss-Chebgshev numerical integration rules) to the case of stress intensity factors. The problem of a simple straight crack under exponential loading is used as the vehicle for the illustration of this semi-analytical/numerical (SAN) approach. The computer algebra system DERIVE was found to be appropriate and was used in the present application. Sufficient SAN results (from DERIVE) are displayed. The present results are numerically superior to the corresponding results based on Taylor (or Maclaurin) polynomials.

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