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oapen-20.500.12657-616122024-03-27T14:14:36Z 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. 2023-03-06T10:59:54Z 2023-03-06T10:59:54Z 2023 book https://library.oapen.org/handle/20.500.12657/61612 eng Schriftenreihe Kontinuumsmechanik im Maschinenbau application/pdf Attribution-ShareAlike 4.0 International fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf https://doi.org/10.5445/KSP/1000152989 KIT Scientific Publishing 10.5445/KSP/1000152989 10.5445/KSP/1000152989 44e29711-8d53-496b-85cc-3d10c9469be9 22 252 open access
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OAPEN
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English
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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.
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fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf
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fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf
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title_short |
fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf
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title_full |
fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf
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title_fullStr |
fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf
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title_full_unstemmed |
fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf
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title_sort |
fiber-orientation-tensors-and-mean-field-homogenization-application-to-sheet-molding-compound.pdf
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publisher |
KIT Scientific Publishing
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publishDate |
2023
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url |
https://doi.org/10.5445/KSP/1000152989
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1799945203390349312
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