Approximation of Tabulated Normalized Stress intensities by chebyshev polynomials

✍ Scribed by Dr.-Ing. W. Setz; Dr. rer. nat. B. Rüttenauer

• Publisher: John Wiley and Sons
• Year: 1985
• Tongue: English
• Weight: 444 KB
• Volume: 16
• Category: Article
• ISSN: 0933-5137
• DOI: 10.1002/mawe.19850160704

✦ Synopsis

Abstract

One of the fundamental problems in the application of fracture mechanics is to calculate the crack propagation under alternating load. For these calculations the crack propagation law and the normalized stress intensities are needed. Normally both functions are known only as a set of discrete measured or calculated data. For a more efficient use of computers it is necessary to represent the discrete values by an analytical function. While it is easy to derive the crack propagation law from measured points, there does not exist a convenient model for the normalized stress intensities, which comprises all conceivable load conditions. Therefore, a model‐free general approach is suggested, which uses the approximation method according to Chebyshev.