over-deterministic method: the influence of rounding numbers on the accuracy of the values of williams expansion terms
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ID: 189784
2017
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Abstract
A study on the accuracy of the values of Williams� expansion terms influenced by rounding numbers is presented. The results are presented taking into account a three-point bend single edge notched beam. Crack tip stress tensor components are expressed using the linear elastic fracture mechanics (LEFM) theory in this work, more precisely via its multi-parameter formulation, i.e. by Williams� power series (WPS). Determination of the coefficients of the terms of this series is performed using the least squaresbased regression technique known as the over-deterministic method (ODM), for which displacements data obtained numerically in software ANSYS are taken as inputs. The values of Williams� expansion terms based on the displacement data obtained are calculated by using various levels of rounding numbers and the results are compared and discussed
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| Reference Key |
ruicka2017fratturaover-deterministic
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|---|---|
| Authors | ;V. Ru풞icka;L. Malkov�;S. Seitl |
| Journal | applied catalysis |
| Year | 2017 |
| DOI |
10.3221/IGF-ESIS.42.14
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| URL | |
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