Finite Deformations of Fibre-reinforced Elastic Solids with Fibre Bending Stiffness: A Spectral Approach
In this paper, we propose a spectral approach to model finite deformations of fibre-reinforced elastic solids with fibre bending stiffness. The constructed constitutive equations depend on spectral invariants, where each one has a clear physical meaning and hence are attractive for use in experiment...
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2022-10-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_17471_e87edf1d6c3f203f938b55957d91f8c0.pdf |
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| author | M.H.B.M. Shariff J. Merodio R. Bustamante |
| author_facet | M.H.B.M. Shariff J. Merodio R. Bustamante |
| author_sort | M.H.B.M. Shariff |
| collection | DOAJ |
| description | In this paper, we propose a spectral approach to model finite deformations of fibre-reinforced elastic solids with fibre bending stiffness. The constructed constitutive equations depend on spectral invariants, where each one has a clear physical meaning and hence are attractive for use in experiment and analysis. With the use of spectral invariants, we easily obtain the number of independent invariants and the number of invariants in the corresponding minimal integrity or irreducible basis. The proposed finite strain energy prototypes are consistent with their infinitesimal strain energy function counterparts. Some results for pure bending of a slab, and the extension and torsion of solid cylinder, that could be useful for experiments and numerical validations, are given. The proposed model could be used to obtain numerical results via modification of some computational methods found in the literature. |
| first_indexed | 2024-12-11T19:07:15Z |
| format | Article |
| id | doaj.art-f587a7ed143040c4b9c5a2b7252da569 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 |
| language | English |
| last_indexed | 2024-12-11T19:07:15Z |
| publishDate | 2022-10-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-f587a7ed143040c4b9c5a2b7252da5692022-12-22T00:53:51ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362022-10-01841332134210.22055/jacm.2022.39812.346917471Finite Deformations of Fibre-reinforced Elastic Solids with Fibre Bending Stiffness: A Spectral ApproachM.H.B.M. Shariff0J. Merodio1R. Bustamante2Department of Mathematics, Khalifa University of Science and Technology, United Arab EmiratesDepartamento de Matemática Aplicada a las TIC ETS de Ingeniería de Sistemas Informáticos, Universidad Politécnica de Madrid, Madrid, 28031, SpainDepartment of Mechanical Engineering, Universidad de Chile, Beauchef 851, Santiago, ChileIn this paper, we propose a spectral approach to model finite deformations of fibre-reinforced elastic solids with fibre bending stiffness. The constructed constitutive equations depend on spectral invariants, where each one has a clear physical meaning and hence are attractive for use in experiment and analysis. With the use of spectral invariants, we easily obtain the number of independent invariants and the number of invariants in the corresponding minimal integrity or irreducible basis. The proposed finite strain energy prototypes are consistent with their infinitesimal strain energy function counterparts. Some results for pure bending of a slab, and the extension and torsion of solid cylinder, that could be useful for experiments and numerical validations, are given. The proposed model could be used to obtain numerical results via modification of some computational methods found in the literature.https://jacm.scu.ac.ir/article_17471_e87edf1d6c3f203f938b55957d91f8c0.pdffinite elasticitybending stiffnessfibre-reinforced solidsbendingtorsionspectral invariants |
| spellingShingle | M.H.B.M. Shariff J. Merodio R. Bustamante Finite Deformations of Fibre-reinforced Elastic Solids with Fibre Bending Stiffness: A Spectral Approach Journal of Applied and Computational Mechanics finite elasticity bending stiffness fibre-reinforced solids bending torsion spectral invariants |
| title | Finite Deformations of Fibre-reinforced Elastic Solids with Fibre Bending Stiffness: A Spectral Approach |
| title_full | Finite Deformations of Fibre-reinforced Elastic Solids with Fibre Bending Stiffness: A Spectral Approach |
| title_fullStr | Finite Deformations of Fibre-reinforced Elastic Solids with Fibre Bending Stiffness: A Spectral Approach |
| title_full_unstemmed | Finite Deformations of Fibre-reinforced Elastic Solids with Fibre Bending Stiffness: A Spectral Approach |
| title_short | Finite Deformations of Fibre-reinforced Elastic Solids with Fibre Bending Stiffness: A Spectral Approach |
| title_sort | finite deformations of fibre reinforced elastic solids with fibre bending stiffness a spectral approach |
| topic | finite elasticity bending stiffness fibre-reinforced solids bending torsion spectral invariants |
| url | https://jacm.scu.ac.ir/article_17471_e87edf1d6c3f203f938b55957d91f8c0.pdf |
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