2017
DOI: 10.3221/igf-esis.42.14
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Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams’ expansion terms

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 squaresbas… Show more

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Cited by 4 publications
(1 citation statement)
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“…In the framework of LEFM, SIF could be evaluated by means of numerical overdetermined algorithm together with the obtained experimental data. 14,20,21 When compared with other procedures, the overdeterministic approach possesses the advantage of using an unlimited number of data points. As a result, errors can be minimized and the accuracy of calculations amplified.…”
Section: Introductionmentioning
confidence: 99%
“…In the framework of LEFM, SIF could be evaluated by means of numerical overdetermined algorithm together with the obtained experimental data. 14,20,21 When compared with other procedures, the overdeterministic approach possesses the advantage of using an unlimited number of data points. As a result, errors can be minimized and the accuracy of calculations amplified.…”
Section: Introductionmentioning
confidence: 99%