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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Main Authors: Lucie Malikova, Hana Simonova, Barbara Kucharczykova, Petr Miarka
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2019-06-01
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.
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institution Kabale University
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publishDate 2019-06-01
publisher Gruppo Italiano Frattura
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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