Large Deformation Elastic Analysis of Pressurized FGM Thick Cylindrical Shells with Nonlinear Plane Elasticity Theory (NPET)
In the present study, the governing equation of pressurized axisymmetric thick cylinders made of Functionally Graded materials (FGMs) with large deformations is derived using the Nonlinear Plane Elasticity Theory (NPET). Because of large deformations along the radial direction and hence the existenc...
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Semnan University
2025-04-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_8859_de6eb741e28744d3fa75ae513a445ec6.pdf |
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| author | Navid Bahadorani Mehdi Ghannad Mohammad Hossein Sohani Bahman Modiri |
| author_facet | Navid Bahadorani Mehdi Ghannad Mohammad Hossein Sohani Bahman Modiri |
| author_sort | Navid Bahadorani |
| collection | DOAJ |
| description | In the present study, the governing equation of pressurized axisymmetric thick cylinders made of Functionally Graded materials (FGMs) with large deformations is derived using the Nonlinear Plane Elasticity Theory (NPET). Because of large deformations along the radial direction and hence the existence of nonlinear terms in kinematic equations, the governing equation is a nonlinear second-order equation with variable coefficients, which is solved in plane stress and plane strain states using the perturbation technique. According to the equilibrium equation, boundary conditions and different end conditions of the cylinder: open ends and closed ends; radial, axial, and circumferential stresses and radial displacement in cylindrical shells are analytically calculated. To investigate the accuracy of the results obtained from the analytical solution, the numerical finite element modeling of the mentioned cylinder with ABAQUS software based on the nonlinear elasticity theory is done and the results of the two methods are compared. This research reveals that the obtained results by the mentioned analytical solution procedure have good accuracy for cylindrical shells under pressure load. The aim of this study is to provide a mathematical solution for the nonlinear analysis of large deformations of FGM cylinders. |
| format | Article |
| id | doaj-art-df5744b1c777429b9ae6cfa91a7e6bc8 |
| institution | Kabale University |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-df5744b1c777429b9ae6cfa91a7e6bc82025-01-20T11:30:30ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432025-04-0112112914010.22075/macs.2024.33431.16198859Large Deformation Elastic Analysis of Pressurized FGM Thick Cylindrical Shells with Nonlinear Plane Elasticity Theory (NPET)Navid Bahadorani0Mehdi Ghannad1Mohammad Hossein Sohani2Bahman Modiri3Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, IranDepartment of Mechanical Engineering, Shahrood University of Technology, Shahrood, IranDepartment of Mechanical Engineering, Shahrood University of Technology, Shahrood, IranDepartment of Mechanical Engineering, Shahrood University of Technology, Shahrood, IranIn the present study, the governing equation of pressurized axisymmetric thick cylinders made of Functionally Graded materials (FGMs) with large deformations is derived using the Nonlinear Plane Elasticity Theory (NPET). Because of large deformations along the radial direction and hence the existence of nonlinear terms in kinematic equations, the governing equation is a nonlinear second-order equation with variable coefficients, which is solved in plane stress and plane strain states using the perturbation technique. According to the equilibrium equation, boundary conditions and different end conditions of the cylinder: open ends and closed ends; radial, axial, and circumferential stresses and radial displacement in cylindrical shells are analytically calculated. To investigate the accuracy of the results obtained from the analytical solution, the numerical finite element modeling of the mentioned cylinder with ABAQUS software based on the nonlinear elasticity theory is done and the results of the two methods are compared. This research reveals that the obtained results by the mentioned analytical solution procedure have good accuracy for cylindrical shells under pressure load. The aim of this study is to provide a mathematical solution for the nonlinear analysis of large deformations of FGM cylinders.https://macs.semnan.ac.ir/article_8859_de6eb741e28744d3fa75ae513a445ec6.pdfpressurized cylinderlarge deformationnonlinear plane elasticity theoryperturbation techniquefunctionally graded materials |
| spellingShingle | Navid Bahadorani Mehdi Ghannad Mohammad Hossein Sohani Bahman Modiri Large Deformation Elastic Analysis of Pressurized FGM Thick Cylindrical Shells with Nonlinear Plane Elasticity Theory (NPET) Mechanics of Advanced Composite Structures pressurized cylinder large deformation nonlinear plane elasticity theory perturbation technique functionally graded materials |
| title | Large Deformation Elastic Analysis of Pressurized FGM Thick Cylindrical Shells with Nonlinear Plane Elasticity Theory (NPET) |
| title_full | Large Deformation Elastic Analysis of Pressurized FGM Thick Cylindrical Shells with Nonlinear Plane Elasticity Theory (NPET) |
| title_fullStr | Large Deformation Elastic Analysis of Pressurized FGM Thick Cylindrical Shells with Nonlinear Plane Elasticity Theory (NPET) |
| title_full_unstemmed | Large Deformation Elastic Analysis of Pressurized FGM Thick Cylindrical Shells with Nonlinear Plane Elasticity Theory (NPET) |
| title_short | Large Deformation Elastic Analysis of Pressurized FGM Thick Cylindrical Shells with Nonlinear Plane Elasticity Theory (NPET) |
| title_sort | large deformation elastic analysis of pressurized fgm thick cylindrical shells with nonlinear plane elasticity theory npet |
| topic | pressurized cylinder large deformation nonlinear plane elasticity theory perturbation technique functionally graded materials |
| url | https://macs.semnan.ac.ir/article_8859_de6eb741e28744d3fa75ae513a445ec6.pdf |
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