Electrical resistivity prediction of dry carbon fiber media as a function of thickness and fiber volume fraction combining empirical and analytical formulas |
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| Affiliation: | 1. Department of Mechanical Engineering and Aeronautics University of Patras, 26500, Patras, Greece;2. Applied Mechanics Laboratory, Department of Mechanical Engineering and Aeronautics University of Patras, 26500, Patras, Greece;3. Schleißheimer Str.128, 80797, München, Germany;1. Helmholtz-Zentrum Geesthacht GmbH, Institute of Materials Research, Materials Mechanics, Solid State Joining Processes, Geesthacht, Germany;2. Helmholtz-Zentrum Geesthacht GmbH, Institute of Materials Research, Materials Mechanics, Solid State Joining Processes, Advanced Polymer-Metal Hybrid Structures Group, Geesthacht, Germany;3. Hamburg University of Technology, Institute of Polymer Composites, Hamburg, Germany;1. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. Institute of Structural Mechanics, Bauhaus University Weimar, Marienstraße 15, 99423, Weimar, Germany;4. Institute of Mechanics and Advanced Materials, Cardiff University, Cardiff, CF 24 3AA, UK;5. Faculté des Sciences, de la Technologie et de la Communication, Université du Luxembourg, Campus Kirchberg, 6, rue Coudenhove-Kalergi, L-1359, Luxembourg;6. School of Mechanical, Industrial and Aeronautical Eng., Uni. of the Witwatersrand, WITS 2050, South Africa;7. School of Civil, Environmental and Architectural Eng., Korea University, Seoul, South Korea;1. Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II 132, 84084 Fisciano, SA, Italy;2. Department of Electronic Engineering, Chemistry and Industrial Engineering, University of Messina, Contrada di Dio, I-98166 Messina, Italy |
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| Abstract: | The transverse electrical resistivity of the dry unidirectional carbon fiber preforms was studied experimentally taking into consideration various parameters. The dependency of the electrical resistivity transverse to the fibers was thoroughly experimentally studied as a function of the preform thickness and the fiber volume fraction. Empirical mathematical relations were extracted and combined with a non-linear compaction semi-analytical formula. The extracted formula consolidates the compressibility of the preform material, the preform thickness and the fiber volume fraction or the applied pressure in order to calculate the electrical resistivity of the unidirectional preform material transverse to the fibers. Two electrical resistance measurements, at two different thicknesses and two electrical resistance measurements, at two different pressure levels, are necessary to obtained, in order to predict the full range of the electrical resistivity values of the preform material transverse to the fibers as a function of thickness and fiber volume fraction. Very good agreement between the proposed formulas and the experiments has been obtained. |
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| Keywords: | B. Electrical properties A. Carbon fiber A. Preform B. Directional orientation |
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