Multi-parameter fracture mechanics
A mixed-mode geometry has been chosen to investigate a crack propagation using the multi-parameter fracture mechanics concept. The so-called Williams’ series expansion is used for the crack-tip stress field approximation. It has been shown that application of the generalized fracture mechanics conce...
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Format: | Article |
Language: | English |
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Gruppo Italiano Frattura
2019-06-01
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Series: | Fracture and Structural Integrity |
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Online Access: | https://www.fracturae.com/index.php/fis/article/view/2491 |
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author | Lucie Malikova Hana Simonova Barbara Kucharczykova Petr Miarka |
author_facet | Lucie Malikova Hana Simonova Barbara Kucharczykova Petr Miarka |
author_sort | Lucie Malikova |
collection | DOAJ |
description | A mixed-mode geometry has been chosen to investigate a crack propagation using the multi-parameter fracture mechanics concept. The so-called Williams’ series expansion is used for the crack-tip stress field approximation. It has been shown that application of the generalized fracture mechanics concept can be crucial for materials with specific fracture behaviour, such as elastic-plastic or quasi-brittle one, when fracture occurs not only in the very vicinity of the crack tip, but also in a more distant surrounding. Then, considering the higher-order terms of the Williams’ expansion in fracture criteria (describing the crack stability and/or crack propagation direction) can bring more precise results. The coefficients of the Williams’ expansion must be calculated numerically (for instance by means of the over-deterministic method in this work) for each cracked configuration, which is very time-consuming, and the analysis is very extensive even for a few basic cracked specimen configurations. On the other hand, a suitable choice of the geometrical configuration of the cracked disc enables performing experiments only on the specimens that could prove the theory about the importance of using the higher-order terms. |
format | Article |
id | doaj-art-c3a2931bae42430ab81dd0215d85f62d |
institution | Kabale University |
issn | 1971-8993 |
language | English |
publishDate | 2019-06-01 |
publisher | Gruppo Italiano Frattura |
record_format | Article |
series | Fracture and Structural Integrity |
spelling | doaj-art-c3a2931bae42430ab81dd0215d85f62d2025-01-03T00:40:24ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-06-011349Multi-parameter fracture mechanicsLucie Malikova0Hana SimonovaBarbara KucharczykovaPetr MiarkaBrno University of Technology, Faculty of Civil EngineeringA mixed-mode geometry has been chosen to investigate a crack propagation using the multi-parameter fracture mechanics concept. The so-called Williams’ series expansion is used for the crack-tip stress field approximation. It has been shown that application of the generalized fracture mechanics concept can be crucial for materials with specific fracture behaviour, such as elastic-plastic or quasi-brittle one, when fracture occurs not only in the very vicinity of the crack tip, but also in a more distant surrounding. Then, considering the higher-order terms of the Williams’ expansion in fracture criteria (describing the crack stability and/or crack propagation direction) can bring more precise results. The coefficients of the Williams’ expansion must be calculated numerically (for instance by means of the over-deterministic method in this work) for each cracked configuration, which is very time-consuming, and the analysis is very extensive even for a few basic cracked specimen configurations. On the other hand, a suitable choice of the geometrical configuration of the cracked disc enables performing experiments only on the specimens that could prove the theory about the importance of using the higher-order terms.https://www.fracturae.com/index.php/fis/article/view/2491Crack-tip fieldMulti-parameter fracture mechanicsFinite element analysisMixed-modeWilliams’ expansion |
spellingShingle | Lucie Malikova Hana Simonova Barbara Kucharczykova Petr Miarka Multi-parameter fracture mechanics Fracture and Structural Integrity Crack-tip field Multi-parameter fracture mechanics Finite element analysis Mixed-mode Williams’ expansion |
title | Multi-parameter fracture mechanics |
title_full | Multi-parameter fracture mechanics |
title_fullStr | Multi-parameter fracture mechanics |
title_full_unstemmed | Multi-parameter fracture mechanics |
title_short | Multi-parameter fracture mechanics |
title_sort | multi parameter fracture mechanics |
topic | Crack-tip field Multi-parameter fracture mechanics Finite element analysis Mixed-mode Williams’ expansion |
url | https://www.fracturae.com/index.php/fis/article/view/2491 |
work_keys_str_mv | AT luciemalikova multiparameterfracturemechanics AT hanasimonova multiparameterfracturemechanics AT barbarakucharczykova multiparameterfracturemechanics AT petrmiarka multiparameterfracturemechanics |