Modeling of Functionally Graded Material Shells
In this research, we propose an algorithm to study the buckling of thin Functionally Graded Material (FGM) shells, utilizing a novel implementation of the asymptotic numerical method (ANM). Our approach integrates a three-step process: representation of variables and loading conditions through a tru...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2025-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00090.pdf |
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| _version_ | 1832098646349316096 |
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| author | Khalil Sihame Elmhaia Oussama Hamdaoui Abdellah Braikat Bouazza Hu Heng Boukamel Adnane Damil Noureddine |
| author_facet | Khalil Sihame Elmhaia Oussama Hamdaoui Abdellah Braikat Bouazza Hu Heng Boukamel Adnane Damil Noureddine |
| author_sort | Khalil Sihame |
| collection | DOAJ |
| description | In this research, we propose an algorithm to study the buckling of thin Functionally Graded Material (FGM) shells, utilizing a novel implementation of the asymptotic numerical method (ANM). Our approach integrates a three-step process: representation of variables and loading conditions through a truncated Taylor series, discretization using the finite element method (FEM), and advancement via a continuation method. This method is particularly effective for tracking the solution curve through systematic matrix inversion and tolerance adjustments. By applying this robust algorithm within the framework of Kirchhoff-Love theory, we analyze how the properties of FGM shells vary smoothly from metal at the base to ceramic at the surface, crucial for applications in aeronautics and civil engineering where stability under load is paramount. The results are validated against the Abaqus industrial code, demonstrating the accuracy of our model. Furthermore, we detail the impact of the volume fraction index on the load-displacement behavior and structural deformations, providing valuable insights for enhancing the design and safety of these critical structures. |
| format | Article |
| id | doaj-art-d4b0293dcf5349dc9e3a5cda2aea438c |
| institution | Kabale University |
| issn | 2267-1242 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj-art-d4b0293dcf5349dc9e3a5cda2aea438c2025-02-05T10:46:25ZengEDP SciencesE3S Web of Conferences2267-12422025-01-016010009010.1051/e3sconf/202560100090e3sconf_icegc2024_00090Modeling of Functionally Graded Material ShellsKhalil Sihame0Elmhaia Oussama1Hamdaoui Abdellah2Braikat Bouazza3Hu Heng4Boukamel Adnane5Damil Noureddine6Hassan II University of Casablanca, Laboratoire d’Ingénierie et Matériaux LIMATHassan First University of Settat, Ecole Nationale des Sciences Appliqueès, LAMSAD LaboratoryHassan II University of Casablanca, Laboratoire d’Ingénierie et Matériaux LIMATHassan II University of Casablanca, Laboratoire d’Ingénierie et Matériaux LIMATNingxia University, School of Mathematics and StatisticsCentral Casablanca, Centre de Recherche Systèmes Complexes et interactions, Ville VerteHassan II University of Casablanca, Laboratoire d’Ingénierie et Matériaux LIMATIn this research, we propose an algorithm to study the buckling of thin Functionally Graded Material (FGM) shells, utilizing a novel implementation of the asymptotic numerical method (ANM). Our approach integrates a three-step process: representation of variables and loading conditions through a truncated Taylor series, discretization using the finite element method (FEM), and advancement via a continuation method. This method is particularly effective for tracking the solution curve through systematic matrix inversion and tolerance adjustments. By applying this robust algorithm within the framework of Kirchhoff-Love theory, we analyze how the properties of FGM shells vary smoothly from metal at the base to ceramic at the surface, crucial for applications in aeronautics and civil engineering where stability under load is paramount. The results are validated against the Abaqus industrial code, demonstrating the accuracy of our model. Furthermore, we detail the impact of the volume fraction index on the load-displacement behavior and structural deformations, providing valuable insights for enhancing the design and safety of these critical structures.https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00090.pdf |
| spellingShingle | Khalil Sihame Elmhaia Oussama Hamdaoui Abdellah Braikat Bouazza Hu Heng Boukamel Adnane Damil Noureddine Modeling of Functionally Graded Material Shells E3S Web of Conferences |
| title | Modeling of Functionally Graded Material Shells |
| title_full | Modeling of Functionally Graded Material Shells |
| title_fullStr | Modeling of Functionally Graded Material Shells |
| title_full_unstemmed | Modeling of Functionally Graded Material Shells |
| title_short | Modeling of Functionally Graded Material Shells |
| title_sort | modeling of functionally graded material shells |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2025/01/e3sconf_icegc2024_00090.pdf |
| work_keys_str_mv | AT khalilsihame modelingoffunctionallygradedmaterialshells AT elmhaiaoussama modelingoffunctionallygradedmaterialshells AT hamdaouiabdellah modelingoffunctionallygradedmaterialshells AT braikatbouazza modelingoffunctionallygradedmaterialshells AT huheng modelingoffunctionallygradedmaterialshells AT boukameladnane modelingoffunctionallygradedmaterialshells AT damilnoureddine modelingoffunctionallygradedmaterialshells |