Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal Pressure

This study presents a three dimensional finite element method analysis of semi-elliptical surface cracks in pipes under internal pressure load. In the elastic–plastic case, estimates of the J-integral are presented for various ratios including crack depth to pipe thickness (a/t) and strain hardening...

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Main Authors: Belaïd Mechab, Medjahdi Malika, Mokadem Salem, Serier Boualem
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2020-09-01
Series:Fracture and Structural Integrity
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Online Access:https://www.fracturae.com/index.php/fis/article/view/2805
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author Belaïd Mechab
Medjahdi Malika
Mokadem Salem
Serier Boualem
author_facet Belaïd Mechab
Medjahdi Malika
Mokadem Salem
Serier Boualem
author_sort Belaïd Mechab
collection DOAJ
description This study presents a three dimensional finite element method analysis of semi-elliptical surface cracks in pipes under internal pressure load. In the elastic–plastic case, estimates of the J-integral are presented for various ratios including crack depth to pipe thickness (a/t) and strain hardening index in the (R-O) Ramberg-Osgood (n).  Finally, failure probability is accessed by a statistical analysis for uncertainties in loads and material properties, and structural reliability and crack size. The Monte Carlo method is used to predict the distribution function of the mechanical response. According to the obtained results, we note that the stress variation and the crack size are important factors influencing on the distribution function of (J/Je).
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institution Kabale University
issn 1971-8993
language English
publishDate 2020-09-01
publisher Gruppo Italiano Frattura
record_format Article
series Fracture and Structural Integrity
spelling doaj-art-8803a37edfb6423b9a27644e4fef9f792025-01-03T00:40:24ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932020-09-011454Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal PressureBelaïd Mechab0Medjahdi Malika1Mokadem Salem2Serier Boualem3University of Djillali Liabes, Sidi Bel Abbes, AlgeriaUniversity of Djillali Liabes, Sidi Bel Abbes, AlgeriaUniversity of Djillali Liabes, Sidi Bel Abbes, AlgeriaUniversity of Djillali Liabes, Sidi Bel Abbes, AlgeriaThis study presents a three dimensional finite element method analysis of semi-elliptical surface cracks in pipes under internal pressure load. In the elastic–plastic case, estimates of the J-integral are presented for various ratios including crack depth to pipe thickness (a/t) and strain hardening index in the (R-O) Ramberg-Osgood (n).  Finally, failure probability is accessed by a statistical analysis for uncertainties in loads and material properties, and structural reliability and crack size. The Monte Carlo method is used to predict the distribution function of the mechanical response. According to the obtained results, we note that the stress variation and the crack size are important factors influencing on the distribution function of (J/Je).https://www.fracturae.com/index.php/fis/article/view/2805Failure, Pipe, Fracture mechanics, Monte Carlo method
spellingShingle Belaïd Mechab
Medjahdi Malika
Mokadem Salem
Serier Boualem
Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal Pressure
Fracture and Structural Integrity
Failure, Pipe, Fracture mechanics, Monte Carlo method
title Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal Pressure
title_full Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal Pressure
title_fullStr Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal Pressure
title_full_unstemmed Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal Pressure
title_short Probabilistic Elastic-plastic Fracture Mechanics Analysis of Propagation of Cracks in Pipes under Internal Pressure
title_sort probabilistic elastic plastic fracture mechanics analysis of propagation of cracks in pipes under internal pressure
topic Failure, Pipe, Fracture mechanics, Monte Carlo method
url https://www.fracturae.com/index.php/fis/article/view/2805
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AT medjahdimalika probabilisticelasticplasticfracturemechanicsanalysisofpropagationofcracksinpipesunderinternalpressure
AT mokademsalem probabilisticelasticplasticfracturemechanicsanalysisofpropagationofcracksinpipesunderinternalpressure
AT serierboualem probabilisticelasticplasticfracturemechanicsanalysisofpropagationofcracksinpipesunderinternalpressure