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The design problem is numerically solved using the so called PID inversion formulae method.
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Emphasis is put on methods that fit existing datastructures for backward differentiation formulae methods.
Multiaxial fatigue analysis can be categorized into several viewpoints, i.e. empirical formulae, methods based on stress invariants, critical plane approaches, models using averages of stress quantities and energetic considerations.
The former mainly includes Hall plot method and Newman empirical formula method.
The results of computer simulations using this program were compared to a conventional formula method.
For the sake of completeness, we study the corresponding wavefunctions using the formula method.
Predicting part of the method was also compared with the usual approximate formula method based on the proposed models.
The predicting results were also verified to be better and more reasonable than the approximate formula method.
Our algorithm does not bother circulation of any kind, it just looks like a formula, therefore, we refer it as the direct formula method.
The scour formula method was less accurate than the scour model experiment method; it is suitable for application to lower risk projects such as pipelines.
The agreement between the outputs from computer simulation and conventional formula method was excellent and consistent under different processing conditions, meaning that the program is accurate and reliable.
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