Analysis of stress intensity factors for functionally graded cylinders with multiple longitudinal cracks using finite element method
In this paper, the cracked thick-walled functionally graded cylinder has been analyzed using the finite element method. The internally pressurized cylinder contains fully longitudinal cracks. The analyses have been done with two, four, six and eight longitudinal cracks at the inner surface of the cy...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of West Bohemia
2019-12-01
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| Series: | Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://www.kme.zcu.cz/acm/acm/article/view/539/504 |
| _version_ | 1818903272678752256 |
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| author | Nabavi S.M. Hejazi Rekavandi S.S. |
| author_facet | Nabavi S.M. Hejazi Rekavandi S.S. |
| author_sort | Nabavi S.M. |
| collection | DOAJ |
| description | In this paper, the cracked thick-walled functionally graded cylinder has been analyzed using the finite element method. The internally pressurized cylinder contains fully longitudinal cracks. The analyses have been done with two, four, six and eight longitudinal cracks at the inner surface of the cylinder in four different conditions. For this purpose, using the USDFLD subroutine coding in ABAQUS software, the variations of properties of the functionally graded material are considered based on a power-law function model in the cracked cylinder. The inner and outer surfaces of the cylinder are made of aluminium oxide and titanium carbide respectively. The continuous composition of the two materials has been considered in the form of varying elastic modulus and Poisson’s ratio along the radial direction as the power-law function. The J-integral has been used to calculate the stress intensity factors, taking into account the variable properties at the crack tip. The effect of non-homogeneity of the properties, the number of the cracks and cracks’ relative depth on the stress intensity factors have been evaluated. The results have been compared with those of other available literature to verify the finite element modelling, in which very good agreement has been found. The results show that similar to the isotropic cylinder with multiple longitudinal cracks, in the cylinder of functionally graded material, the two-crack model has the highest amount of stress intensity factors and the variation of Poisson’s ratio has to be taken into account in the shallow cracks. |
| first_indexed | 2024-12-19T20:48:55Z |
| format | Article |
| id | doaj.art-3c1eecede7c04fe493523ab50eb9b17e |
| institution | Directory Open Access Journal |
| issn | 1802-680X 2336-1182 |
| language | English |
| last_indexed | 2024-12-19T20:48:55Z |
| publishDate | 2019-12-01 |
| publisher | University of West Bohemia |
| record_format | Article |
| series | Applied and Computational Mechanics |
| spelling | doaj.art-3c1eecede7c04fe493523ab50eb9b17e2022-12-21T20:06:09ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2336-11822019-12-0113212513610.24132/acm.2019.539Analysis of stress intensity factors for functionally graded cylinders with multiple longitudinal cracks using finite element methodNabavi S.M.0Hejazi Rekavandi S.S.1Malek Ashtar University of Technology, Faculty of Aerospace Engineering, Tehran, IranMalek Ashtar University of Technology, Faculty of Aerospace Engineering, Tehran, IranIn this paper, the cracked thick-walled functionally graded cylinder has been analyzed using the finite element method. The internally pressurized cylinder contains fully longitudinal cracks. The analyses have been done with two, four, six and eight longitudinal cracks at the inner surface of the cylinder in four different conditions. For this purpose, using the USDFLD subroutine coding in ABAQUS software, the variations of properties of the functionally graded material are considered based on a power-law function model in the cracked cylinder. The inner and outer surfaces of the cylinder are made of aluminium oxide and titanium carbide respectively. The continuous composition of the two materials has been considered in the form of varying elastic modulus and Poisson’s ratio along the radial direction as the power-law function. The J-integral has been used to calculate the stress intensity factors, taking into account the variable properties at the crack tip. The effect of non-homogeneity of the properties, the number of the cracks and cracks’ relative depth on the stress intensity factors have been evaluated. The results have been compared with those of other available literature to verify the finite element modelling, in which very good agreement has been found. The results show that similar to the isotropic cylinder with multiple longitudinal cracks, in the cylinder of functionally graded material, the two-crack model has the highest amount of stress intensity factors and the variation of Poisson’s ratio has to be taken into account in the shallow cracks.https://www.kme.zcu.cz/acm/acm/article/view/539/504functionally graded cylindermultiple fully longitudinal cracksthe finite element methodstress intensity factorpower-law function |
| spellingShingle | Nabavi S.M. Hejazi Rekavandi S.S. Analysis of stress intensity factors for functionally graded cylinders with multiple longitudinal cracks using finite element method Applied and Computational Mechanics functionally graded cylinder multiple fully longitudinal cracks the finite element method stress intensity factor power-law function |
| title | Analysis of stress intensity factors for functionally graded cylinders with multiple longitudinal cracks using finite element method |
| title_full | Analysis of stress intensity factors for functionally graded cylinders with multiple longitudinal cracks using finite element method |
| title_fullStr | Analysis of stress intensity factors for functionally graded cylinders with multiple longitudinal cracks using finite element method |
| title_full_unstemmed | Analysis of stress intensity factors for functionally graded cylinders with multiple longitudinal cracks using finite element method |
| title_short | Analysis of stress intensity factors for functionally graded cylinders with multiple longitudinal cracks using finite element method |
| title_sort | analysis of stress intensity factors for functionally graded cylinders with multiple longitudinal cracks using finite element method |
| topic | functionally graded cylinder multiple fully longitudinal cracks the finite element method stress intensity factor power-law function |
| url | https://www.kme.zcu.cz/acm/acm/article/view/539/504 |
| work_keys_str_mv | AT nabavism analysisofstressintensityfactorsforfunctionallygradedcylinderswithmultiplelongitudinalcracksusingfiniteelementmethod AT hejazirekavandiss analysisofstressintensityfactorsforfunctionallygradedcylinderswithmultiplelongitudinalcracksusingfiniteelementmethod |