Elastic and nonlinear crack tip solutions comparison with respect to failure probability
This study represents a methodology to assess the probability of failure based on three the driving force formulations defined by the corresponding brittle and ductile fracture criteria for compact and bending specimens made of 34XH3MA and S55C steels. The elastic stress intensity factor (SIF) and...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2022-09-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/3673 |
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| author | Valery Shlyannikov Andrey Tumanov Nataliya Boychenko |
| author_facet | Valery Shlyannikov Andrey Tumanov Nataliya Boychenko |
| author_sort | Valery Shlyannikov |
| collection | DOAJ |
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This study represents a methodology to assess the probability of failure based on three the driving force formulations defined by the corresponding brittle and ductile fracture criteria for compact and bending specimens made of 34XH3MA and S55C steels. The elastic stress intensity factor (SIF) and two types of the non-linear plastic SIFs were considered as the driving force or generalized parameter (GP) to determine the probability of failure assuming a three-parameter Weibull distribution. The elastic SIF were experimentally obtained for studied materials and specimen geometries whereas the plastic SIFs were numerically calculated for the same material properties, specimen configurations and loading conditions according to classical J2 and strain gradient plasticity theories. Different specimen types with varying relative crack lengths and thicknesses were investigated. Proposed the normalized generalized parameter accounting for brittle or ductile fracture can be used as a suitable failure variable that is confirmed by comparison of the obtained failure cumulative distribution functions based on the three studied GPs.
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| format | Article |
| id | doaj-art-23b71618729f4859a1d105a8fc58597b |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2022-09-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-23b71618729f4859a1d105a8fc58597b2025-01-02T22:45:28ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932022-09-011662Elastic and nonlinear crack tip solutions comparison with respect to failure probabilityValery Shlyannikov0Andrey Tumanov 1Nataliya Boychenko 2FRC Kazan Scientific Center of Russian Academy of Sciences, RussiaFRC Kazan Scientific Center of Russian Academy of Sciences, RussiaFRC Kazan Scientific Center of Russian Academy of Sciences, Russia This study represents a methodology to assess the probability of failure based on three the driving force formulations defined by the corresponding brittle and ductile fracture criteria for compact and bending specimens made of 34XH3MA and S55C steels. The elastic stress intensity factor (SIF) and two types of the non-linear plastic SIFs were considered as the driving force or generalized parameter (GP) to determine the probability of failure assuming a three-parameter Weibull distribution. The elastic SIF were experimentally obtained for studied materials and specimen geometries whereas the plastic SIFs were numerically calculated for the same material properties, specimen configurations and loading conditions according to classical J2 and strain gradient plasticity theories. Different specimen types with varying relative crack lengths and thicknesses were investigated. Proposed the normalized generalized parameter accounting for brittle or ductile fracture can be used as a suitable failure variable that is confirmed by comparison of the obtained failure cumulative distribution functions based on the three studied GPs. https://www.fracturae.com/index.php/fis/article/view/3673Failure probabilityWeibull distributionsNonlinear stress intensity factorsGeneralized parameters |
| spellingShingle | Valery Shlyannikov Andrey Tumanov Nataliya Boychenko Elastic and nonlinear crack tip solutions comparison with respect to failure probability Fracture and Structural Integrity Failure probability Weibull distributions Nonlinear stress intensity factors Generalized parameters |
| title | Elastic and nonlinear crack tip solutions comparison with respect to failure probability |
| title_full | Elastic and nonlinear crack tip solutions comparison with respect to failure probability |
| title_fullStr | Elastic and nonlinear crack tip solutions comparison with respect to failure probability |
| title_full_unstemmed | Elastic and nonlinear crack tip solutions comparison with respect to failure probability |
| title_short | Elastic and nonlinear crack tip solutions comparison with respect to failure probability |
| title_sort | elastic and nonlinear crack tip solutions comparison with respect to failure probability |
| topic | Failure probability Weibull distributions Nonlinear stress intensity factors Generalized parameters |
| url | https://www.fracturae.com/index.php/fis/article/view/3673 |
| work_keys_str_mv | AT valeryshlyannikov elasticandnonlinearcracktipsolutionscomparisonwithrespecttofailureprobability AT andreytumanov elasticandnonlinearcracktipsolutionscomparisonwithrespecttofailureprobability AT nataliyaboychenko elasticandnonlinearcracktipsolutionscomparisonwithrespecttofailureprobability |