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 t...

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Main Authors: Valery Shlyannikov, Andrey Tumanov, Natalia Boychenko
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2022-10-01
Series:Fracture and Structural Integrity
Subjects:
Online Access:https://www.fracturae.com/index.php/fis/article/view/3673/3623
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author Valery Shlyannikov
Andrey Tumanov
Natalia Boychenko
author_facet Valery Shlyannikov
Andrey Tumanov
Natalia Boychenko
author_sort Valery Shlyannikov
collection DOAJ
description 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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institution Kabale University
issn 1971-8993
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publisher Gruppo Italiano Frattura
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series Fracture and Structural Integrity
spelling doaj-art-1b0485ee541341ba846579dbec8780fe2025-02-03T10:02:59ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932022-10-01166211310.3221/IGF-ESIS.62.0110.3221/IGF-ESIS.62.01Elastic and nonlinear crack tip solutions comparison with respect to failure probabilityValery ShlyannikovAndrey TumanovNatalia BoychenkoThis 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 GPshttps://www.fracturae.com/index.php/fis/article/view/3673/3623failure probabilityweibull distributionsnonlinear stress intensity factorsgeneralized parameters
spellingShingle Valery Shlyannikov
Andrey Tumanov
Natalia 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/3673/3623
work_keys_str_mv AT valeryshlyannikov elasticandnonlinearcracktipsolutionscomparisonwithrespecttofailureprobability
AT andreytumanov elasticandnonlinearcracktipsolutionscomparisonwithrespecttofailureprobability
AT nataliaboychenko elasticandnonlinearcracktipsolutionscomparisonwithrespecttofailureprobability