Layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures. Part 1: Plates
This article presents for the very first time a layerwise bending analytical solution for cross-ply laminated composite plates with clamped boundary conditions at all edges. The displacement field is implemented within the framework of the Carrera unified formulation at a layer level by employing Le...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-01-01
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| Series: | Curved and Layered Structures |
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| Online Access: | https://doi.org/10.1515/cls-2024-0020 |
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| _version_ | 1832570442912628736 |
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| author | Laureano Ronaldo Walter Mantari José Luis |
| author_facet | Laureano Ronaldo Walter Mantari José Luis |
| author_sort | Laureano Ronaldo Walter |
| collection | DOAJ |
| description | This article presents for the very first time a layerwise bending analytical solution for cross-ply laminated composite plates with clamped boundary conditions at all edges. The displacement field is implemented within the framework of the Carrera unified formulation at a layer level by employing Legendre polynomials. The governing equations are obtained by using the principle of virtual displacements statement. This work utilizes the boundary-discontinuous double Fourier series to provide analytical solutions. The high accuracy of the proposed solution is demonstrated by comparing the results with three-dimensional finite-element model (FEM) solutions of multilayered and sandwich plates for various side-to-thickness ratios. In conclusion, the highly accurate proposed solution might be used as a benchmark problem for new analytical or FEMs. |
| format | Article |
| id | doaj-art-88105734b2eb419bbb95bc9d13d71186 |
| institution | Kabale University |
| issn | 2353-7396 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj-art-88105734b2eb419bbb95bc9d13d711862025-02-02T15:45:04ZengDe GruyterCurved and Layered Structures2353-73962025-01-01121203410.1515/cls-2024-0020Layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures. Part 1: PlatesLaureano Ronaldo Walter0Mantari José Luis1Faculty of Mechanical Engineering, Universidad de Ingenieria y Tecnologia (UTEC) Engineering and Technology, Jr. Medrano Silva 165, Barranco, Lima, PeruFaculty of Mechanical Engineering, Universidad de Ingenieria y Tecnologia (UTEC) Engineering and Technology, Jr. Medrano Silva 165, Barranco, Lima, PeruThis article presents for the very first time a layerwise bending analytical solution for cross-ply laminated composite plates with clamped boundary conditions at all edges. The displacement field is implemented within the framework of the Carrera unified formulation at a layer level by employing Legendre polynomials. The governing equations are obtained by using the principle of virtual displacements statement. This work utilizes the boundary-discontinuous double Fourier series to provide analytical solutions. The high accuracy of the proposed solution is demonstrated by comparing the results with three-dimensional finite-element model (FEM) solutions of multilayered and sandwich plates for various side-to-thickness ratios. In conclusion, the highly accurate proposed solution might be used as a benchmark problem for new analytical or FEMs.https://doi.org/10.1515/cls-2024-0020cuflayerwise theoryclampedboundary discontinuousanalytical |
| spellingShingle | Laureano Ronaldo Walter Mantari José Luis Layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures. Part 1: Plates Curved and Layered Structures cuf layerwise theory clamped boundary discontinuous analytical |
| title | Layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures. Part 1: Plates |
| title_full | Layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures. Part 1: Plates |
| title_fullStr | Layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures. Part 1: Plates |
| title_full_unstemmed | Layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures. Part 1: Plates |
| title_short | Layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures. Part 1: Plates |
| title_sort | layerwise generalized formulation solved via a boundary discontinuous method for multilayered structures part 1 plates |
| topic | cuf layerwise theory clamped boundary discontinuous analytical |
| url | https://doi.org/10.1515/cls-2024-0020 |
| work_keys_str_mv | AT laureanoronaldowalter layerwisegeneralizedformulationsolvedviaaboundarydiscontinuousmethodformultilayeredstructurespart1plates AT mantarijoseluis layerwisegeneralizedformulationsolvedviaaboundarydiscontinuousmethodformultilayeredstructurespart1plates |