Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading
The investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This paper introduces a numerical investigation used to calculate the J-integral of the main crack behaviour emanating from a semicircular notch and double semicir...
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Gruppo Italiano Frattura
2019-03-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | https://www.fracturae.com/index.php/fis/article/view/2342 |
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| author | Aboubakar Seddik Bouchikhi Abdelkader Lousdad Khalfi Yassine Nasser Eddine Bouida Sadek Gouasmi Abdelkader Megueni |
| author_facet | Aboubakar Seddik Bouchikhi Abdelkader Lousdad Khalfi Yassine Nasser Eddine Bouida Sadek Gouasmi Abdelkader Megueni |
| author_sort | Aboubakar Seddik Bouchikhi |
| collection | DOAJ |
| description | The investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This paper introduces a numerical investigation used to calculate the J-integral of the main crack behaviour emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions in (TiB/Ti) FGM plate subjected to tensile mechanical load. Young’s modulus of the functionally graded material plate varies along the specimen width (notch radius direction r-FGM) with exponential-law (E-FGM) function. Further, the Poisson’s ratio is taken as a constant in normal direction. For this purpose the variations of the material properties are applied at the integration points and at the nodes by implementing a subroutine USDFLD in the ABAQUS software. The variation of the J-integral according to the position, the length, and the angle of rotation of cracks is demonstrated. The variation of the J-integral according to the position, the length, and the angle of rotation of cracks are examined; also the effect of different parameters for double notch FGM plate is investigated as well as the effect of band of FGM within the ceramic plate to reduce J-integral. According to the numerical analysis, all parameters above played an important role in determining the J-integral. |
| format | Article |
| id | doaj-art-74bc0f5cfee44d508f233df54c31053a |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2019-03-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-74bc0f5cfee44d508f233df54c31053a2025-01-02T20:55:54ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-03-011348Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical LoadingAboubakar Seddik Bouchikhi0Abdelkader Lousdad1Khalfi Yassine2Nasser Eddine Bouida3Sadek Gouasmi4Abdelkader Megueni5PrDepartment of Mechanics, BP 89, Cité Ben M’hidi - Sidi Bel Abbes (22000), University of Sidi Bel Abbès, Sidi Bel Abbes, AlgeriaDepartment of Mechanics, BP 89, Cité Ben M’hidi - Sidi Bel Abbes (22000), University of Sidi Bel Abbès, Sidi Bel Abbes, AlgeriaDepartment of Mechanics, BP 89, Cité Ben M’hidi - Sidi Bel Abbes (22000), University of Sidi Bel Abbès, Sidi Bel Abbes, AlgeriaDepartment of Mechanics, BP 89, Cité Ben M’hidi - Sidi Bel Abbes (22000), University of Sidi Bel Abbès, Sidi Bel Abbes, AlgeriaDepartment of Mechanics, BP 89, Cité Ben M’hidi - Sidi Bel Abbes (22000), University of Sidi Bel Abbès, Sidi Bel Abbes, AlgeriaThe investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This paper introduces a numerical investigation used to calculate the J-integral of the main crack behaviour emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions in (TiB/Ti) FGM plate subjected to tensile mechanical load. Young’s modulus of the functionally graded material plate varies along the specimen width (notch radius direction r-FGM) with exponential-law (E-FGM) function. Further, the Poisson’s ratio is taken as a constant in normal direction. For this purpose the variations of the material properties are applied at the integration points and at the nodes by implementing a subroutine USDFLD in the ABAQUS software. The variation of the J-integral according to the position, the length, and the angle of rotation of cracks is demonstrated. The variation of the J-integral according to the position, the length, and the angle of rotation of cracks are examined; also the effect of different parameters for double notch FGM plate is investigated as well as the effect of band of FGM within the ceramic plate to reduce J-integral. According to the numerical analysis, all parameters above played an important role in determining the J-integral.https://www.fracturae.com/index.php/fis/article/view/2342Functionally graded material (FGM)Finite element method (FEM)J IntegralMode IInteraction |
| spellingShingle | Aboubakar Seddik Bouchikhi Abdelkader Lousdad Khalfi Yassine Nasser Eddine Bouida Sadek Gouasmi Abdelkader Megueni Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading Fracture and Structural Integrity Functionally graded material (FGM) Finite element method (FEM) J Integral Mode I Interaction |
| title | Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading |
| title_full | Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading |
| title_fullStr | Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading |
| title_full_unstemmed | Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading |
| title_short | Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading |
| title_sort | finite element analysis of interactions of between two cracks in fgm notched plate under mechanical loading |
| topic | Functionally graded material (FGM) Finite element method (FEM) J Integral Mode I Interaction |
| url | https://www.fracturae.com/index.php/fis/article/view/2342 |
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