Analysis of plastically deformed functionally graded pressurized thick cylinder
An analytical solution for stresses in a plastically deformed cylinder made of a functionally graded material (FGM) under internal pressure is provided. The cylindrical material is composed of two metal powder particles manufactured using centrifugal casting. While Poisson’s ratio is assumed constan...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2022-12-01
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| Series: | Arab Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/25765299.2022.2132711 |
| _version_ | 1798044877710163968 |
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| author | Meriem Belhaou Nor eddine Laghzale Hakim Bouzid |
| author_facet | Meriem Belhaou Nor eddine Laghzale Hakim Bouzid |
| author_sort | Meriem Belhaou |
| collection | DOAJ |
| description | An analytical solution for stresses in a plastically deformed cylinder made of a functionally graded material (FGM) under internal pressure is provided. The cylindrical material is composed of two metal powder particles manufactured using centrifugal casting. While Poisson’s ratio is assumed constant, Young’s modulus is a power function of the radius. The von Mises yield criterion is used under the plane-strain condition. The constitutive material model obeys the Ludwik power law, with the yield strength and work-hardening coefficient as functions of the radius. The stress distributions along the radial direction for the elastic, elasto–plastic field and beyond plastic collapse cases were analyzed. To study the effect on the plastic zone in FGM, in addition to pressure, the gradient index was made to vary from −2 to 2 and different cylinder aspect ratios ranging from 1 up to 3 are considered. A finite-element simulation was run for comparison and validation of the analytical solution. The results showed a good agreement between the two methods. |
| first_indexed | 2024-04-11T23:11:20Z |
| format | Article |
| id | doaj.art-d00bb679e17f4cc6a9e10ac5dad5a66f |
| institution | Directory Open Access Journal |
| issn | 2576-5299 |
| language | English |
| last_indexed | 2024-04-11T23:11:20Z |
| publishDate | 2022-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj.art-d00bb679e17f4cc6a9e10ac5dad5a66f2022-12-22T03:57:49ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992022-12-0129137238110.1080/25765299.2022.2132711Analysis of plastically deformed functionally graded pressurized thick cylinderMeriem Belhaou0Nor eddine Laghzale1Hakim Bouzid2M2SM Laboratory, ENSAM of Rabat, Mohammed V University in Rabat, Rabat, MoroccoM2SM Laboratory, ENSAM of Rabat, Mohammed V University in Rabat, Rabat, MoroccoMechanical Engineering Department, Ecole de Technologie Supérieure, Quebec, CanadaAn analytical solution for stresses in a plastically deformed cylinder made of a functionally graded material (FGM) under internal pressure is provided. The cylindrical material is composed of two metal powder particles manufactured using centrifugal casting. While Poisson’s ratio is assumed constant, Young’s modulus is a power function of the radius. The von Mises yield criterion is used under the plane-strain condition. The constitutive material model obeys the Ludwik power law, with the yield strength and work-hardening coefficient as functions of the radius. The stress distributions along the radial direction for the elastic, elasto–plastic field and beyond plastic collapse cases were analyzed. To study the effect on the plastic zone in FGM, in addition to pressure, the gradient index was made to vary from −2 to 2 and different cylinder aspect ratios ranging from 1 up to 3 are considered. A finite-element simulation was run for comparison and validation of the analytical solution. The results showed a good agreement between the two methods.https://www.tandfonline.com/doi/10.1080/25765299.2022.2132711Functionally graded materialinternal pressureLudwik hardening lawplasticity solutionstress analysisthick-walled cylinder |
| spellingShingle | Meriem Belhaou Nor eddine Laghzale Hakim Bouzid Analysis of plastically deformed functionally graded pressurized thick cylinder Arab Journal of Basic and Applied Sciences Functionally graded material internal pressure Ludwik hardening law plasticity solution stress analysis thick-walled cylinder |
| title | Analysis of plastically deformed functionally graded pressurized thick cylinder |
| title_full | Analysis of plastically deformed functionally graded pressurized thick cylinder |
| title_fullStr | Analysis of plastically deformed functionally graded pressurized thick cylinder |
| title_full_unstemmed | Analysis of plastically deformed functionally graded pressurized thick cylinder |
| title_short | Analysis of plastically deformed functionally graded pressurized thick cylinder |
| title_sort | analysis of plastically deformed functionally graded pressurized thick cylinder |
| topic | Functionally graded material internal pressure Ludwik hardening law plasticity solution stress analysis thick-walled cylinder |
| url | https://www.tandfonline.com/doi/10.1080/25765299.2022.2132711 |
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