Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams expansion terms
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 (LE...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2017-10-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero42/numero_42_art_14.pdf |
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| author | V. Ru풞icka L. Malkov� S. Seitl |
| author_facet | V. Ru풞icka L. Malkov� S. Seitl |
| author_sort | V. Ru풞icka |
| collection | DOAJ |
| description | 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 |
| format | Article |
| id | doaj-art-4709af24bb054aecb3dd066ed2ab0f8e |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2017-10-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-4709af24bb054aecb3dd066ed2ab0f8e2025-02-03T00:45:51ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932017-10-01114212813510.3221/IGF-ESIS.42.1410.3221/IGF-ESIS.42.14Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams expansion termsV. Ru풞ickaL. Malkov�S. SeitlA 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 discussedhttp://www.gruppofrattura.it/pdf/rivista/numero42/numero_42_art_14.pdfOver-deterministic methodRounding numbersWilliams� expansionFracture mechanicsStress field |
| spellingShingle | V. Ru풞icka L. Malkov� S. Seitl Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams expansion terms Fracture and Structural Integrity Over-deterministic method Rounding numbers Williams� expansion Fracture mechanics Stress field |
| title | Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams expansion terms |
| title_full | Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams expansion terms |
| title_fullStr | Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams expansion terms |
| title_full_unstemmed | Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams expansion terms |
| title_short | Over-deterministic method: The influence of rounding numbers on the accuracy of the values of Williams expansion terms |
| title_sort | over deterministic method the influence of rounding numbers on the accuracy of the values of williams expansion terms |
| topic | Over-deterministic method Rounding numbers Williams� expansion Fracture mechanics Stress field |
| url | http://www.gruppofrattura.it/pdf/rivista/numero42/numero_42_art_14.pdf |
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