Multi-parameter approximation of stress field in a cracked specimen using purpose-built Java applications
A quality of multi-parameter approximation of the stress and displacement fields around a crack tip in a non-brittle material test specimen is studied in the paper. The stress field approximation using Williams power series is intended to be utilized for estimation of the nonlinear zone extent which...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2015-06-01
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| Series: | Fracture and Structural Integrity |
| Subjects: | |
| Online Access: | https://www.fracturae.com/index.php/fis/article/view/1482 |
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| _version_ | 1841562818987425792 |
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| author | V. Veselý J. Sobek D. Tesa? P. Frantík T. Pail S. Seitl |
| author_facet | V. Veselý J. Sobek D. Tesa? P. Frantík T. Pail S. Seitl |
| author_sort | V. Veselý |
| collection | DOAJ |
| description | A quality of multi-parameter approximation of the stress and displacement fields around a crack tip in a non-brittle material test specimen is studied in the paper. The stress field approximation using Williams power series is intended to be utilized for estimation of the nonlinear zone extent which potentially plays a role within methods for determination of true values of fracture parameters of materials exhibiting nonlinear failure.
Considering the fact that in the case of elastic-plastic and especially quasi-brittle materials the size of this zone is substantial in comparison to the specimen dimensions, it is necessary to take a large region around the crack tip into account for this task. An automatic utility created to determine the values of coefficients of the higher
order terms of Williams power series by usage of over-deterministic method applied on results of finite element
analysis of arbitrary mode I test geometry is one of the tested procedures. The second one provides a backward
reconstruction of the crack-tip stress field analytically by means of truncated Williams expansion. The developed procedures are based on the support of Java programming language and considerably simplify analyses of the mechanical fields’ description in a farther distance from the crack-tip. The presented research is focused on optimization of selection of FE nodal results for improvement of accuracy of the approximation. |
| format | Article |
| id | doaj-art-010fae575121430fa0ec7cba21050568 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2015-06-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-010fae575121430fa0ec7cba210505682025-01-03T00:40:24ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932015-06-01933Multi-parameter approximation of stress field in a cracked specimen using purpose-built Java applicationsV. VeselýJ. SobekD. Tesa?P. FrantíkT. PailS. SeitlA quality of multi-parameter approximation of the stress and displacement fields around a crack tip in a non-brittle material test specimen is studied in the paper. The stress field approximation using Williams power series is intended to be utilized for estimation of the nonlinear zone extent which potentially plays a role within methods for determination of true values of fracture parameters of materials exhibiting nonlinear failure. Considering the fact that in the case of elastic-plastic and especially quasi-brittle materials the size of this zone is substantial in comparison to the specimen dimensions, it is necessary to take a large region around the crack tip into account for this task. An automatic utility created to determine the values of coefficients of the higher order terms of Williams power series by usage of over-deterministic method applied on results of finite element analysis of arbitrary mode I test geometry is one of the tested procedures. The second one provides a backward reconstruction of the crack-tip stress field analytically by means of truncated Williams expansion. The developed procedures are based on the support of Java programming language and considerably simplify analyses of the mechanical fields’ description in a farther distance from the crack-tip. The presented research is focused on optimization of selection of FE nodal results for improvement of accuracy of the approximation.https://www.fracturae.com/index.php/fis/article/view/1482Williams expansion |
| spellingShingle | V. Veselý J. Sobek D. Tesa? P. Frantík T. Pail S. Seitl Multi-parameter approximation of stress field in a cracked specimen using purpose-built Java applications Fracture and Structural Integrity Williams expansion |
| title | Multi-parameter approximation of stress field in a cracked specimen using purpose-built Java applications |
| title_full | Multi-parameter approximation of stress field in a cracked specimen using purpose-built Java applications |
| title_fullStr | Multi-parameter approximation of stress field in a cracked specimen using purpose-built Java applications |
| title_full_unstemmed | Multi-parameter approximation of stress field in a cracked specimen using purpose-built Java applications |
| title_short | Multi-parameter approximation of stress field in a cracked specimen using purpose-built Java applications |
| title_sort | multi parameter approximation of stress field in a cracked specimen using purpose built java applications |
| topic | Williams expansion |
| url | https://www.fracturae.com/index.php/fis/article/view/1482 |
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