Fiber Orientation Tensors and Mean Field Homogenization
Effective mechanical properties of fiber-reinforced composites strongly depend on the microstructure, including the fibers' orientation. Studying this dependency, we identify the variety of fiber orientation tensors up to fourth-order using irreducible tensors and material symmetry. The case of plan...
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| Formato: | Online |
| Idioma: | inglês |
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KIT Scientific Publishing
2023
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| Acesso em linha: | https://library.oapen.org/handle/20.500.12657/61612 |
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| _version_ | 1869517654875701248 |
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| author | Bauer, Julian Karl |
| author_browse | Bauer, Julian Karl |
| author_facet | Bauer, Julian Karl |
| author_sort | Bauer, Julian Karl |
| collection | Directory of Open Access Books |
| description | Effective mechanical properties of fiber-reinforced composites strongly depend on the microstructure, including the fibers' orientation. Studying this dependency, we identify the variety of fiber orientation tensors up to fourth-order using irreducible tensors and material symmetry. The case of planar fiber orientation tensors, relevant for sheet molding compound, is presented completely. Consequences for the reconstruction of fiber distributions and mean field homogenization are presented. |
| format | Online |
| id | doab-20.500.12854ir-97971 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | KIT Scientific Publishing |
| publisherStr | KIT Scientific Publishing |
| record_format | ojs |
| spelling | doab-20.500.12854ir-979712025-05-27T05:21:39Z Fiber Orientation Tensors and Mean Field Homogenization Bauer, Julian Karl Faserorientierungstensor; Mikrostruktur; Homogenisierung; Anisotropie; Elastizität; Fiber orientation tensor; Fiber-reinforced composites; Mean field homogenization; Anisotropy; Elasticity thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building Effective mechanical properties of fiber-reinforced composites strongly depend on the microstructure, including the fibers' orientation. Studying this dependency, we identify the variety of fiber orientation tensors up to fourth-order using irreducible tensors and material symmetry. The case of planar fiber orientation tensors, relevant for sheet molding compound, is presented completely. Consequences for the reconstruction of fiber distributions and mean field homogenization are presented. 2023-03-07T04:00:57Z 2023-03-07T04:00:57Z 2023-03-06T10:59:54Z 2023 book https://library.oapen.org/handle/20.500.12657/61612 9783731512622 https://directory.doabooks.org/handle/20.500.12854/97971 eng Schriftenreihe Kontinuumsmechanik im Maschinenbau open access image/jpeg image/jpeg image/jpeg image/jpeg image/jpeg Attribution-ShareAlike 4.0 International Attribution-ShareAlike 4.0 International Attribution-ShareAlike 4.0 International Attribution-ShareAlike 4.0 International Attribution-ShareAlike 4.0 International https://library.oapen.org/bitstream/20.500.12657/61612/1/fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf https://library.oapen.org/bitstream/20.500.12657/61612/1/fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf https://library.oapen.org/bitstream/20.500.12657/61612/1/fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf https://library.oapen.org/bitstream/20.500.12657/61612/1/fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf https://library.oapen.org/bitstream/20.500.12657/61612/1/fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf KIT Scientific Publishing 10.5445/KSP/1000152989 10.5445/KSP/1000152989 68fffc18-8f7b-44fa-ac7e-0b7d7d979bd2 9783731512622 AG Universitätsverlage 252 open access |
| spellingShingle | Faserorientierungstensor; Mikrostruktur; Homogenisierung; Anisotropie; Elastizität; Fiber orientation tensor; Fiber-reinforced composites; Mean field homogenization; Anisotropy; Elasticity thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building Bauer, Julian Karl Fiber Orientation Tensors and Mean Field Homogenization |
| title | Fiber Orientation Tensors and Mean Field Homogenization |
| title_full | Fiber Orientation Tensors and Mean Field Homogenization |
| title_fullStr | Fiber Orientation Tensors and Mean Field Homogenization |
| title_full_unstemmed | Fiber Orientation Tensors and Mean Field Homogenization |
| title_short | Fiber Orientation Tensors and Mean Field Homogenization |
| title_sort | fiber orientation tensors and mean field homogenization |
| topic | Faserorientierungstensor; Mikrostruktur; Homogenisierung; Anisotropie; Elastizität; Fiber orientation tensor; Fiber-reinforced composites; Mean field homogenization; Anisotropy; Elasticity thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building |
| topic_facet | Faserorientierungstensor; Mikrostruktur; Homogenisierung; Anisotropie; Elastizität; Fiber orientation tensor; Fiber-reinforced composites; Mean field homogenization; Anisotropy; Elasticity thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TN Civil engineering, surveying and building |
| url | https://library.oapen.org/handle/20.500.12657/61612 |
| work_keys_str_mv | AT bauerjuliankarl fiberorientationtensorsandmeanfieldhomogenization |