Prediction of specific electrical resistivity of polymeric composites based on carbon fabrics

Vadym Stavychenko, Svitlana Purhina, Pavlo Shestakov

Abstract


We have proposed an improved approach to forecasting electrical resistivity of composite materials based on carbon fabrics by using a finite element method that takes into consideration a deformation of the reinforcing material during molding. Electrical characteristics of homogenized reinforcing fibers are determined by using known dependences for unidirectional composites. Based on the developed approach, we calculated values of electrical resistivity of composite materials based on the carbon fabric of twilled weaving and the weft-knitted carbon fabric. To account for a change in the thickness of the weft-knitted carbon fabric during molding, we simulated its deformation under the action of vacuum pressure. The obtained calculated values of electrical resistivity of the examined materials are in good agreement with the results of experimental study. Divergence between the calculated and experimental results for a material based on the carbon fabric of twilled weaving is 10 %. For materials based on the weft-knitted carbon fabric, divergence is 11 % towards the weft and 32 % in the direction of the base of the fabric.

Given that the volumetric fiber content in a material from the weft-knitted carbon fabric was determined based on the results of modeling its deformation at molding, as well as the results of similar studies, reliability of the simulation can be considered quite satisfactory. The proposed approach could be applied when choosing a rational scheme for weaving a fabric in order to estimate specific resistivity in the absence of information about volumetric fiber content and the actual structure of the material after its fabrication.


Keywords


composite material; carbon fiber; specific electrical resistivity; finite element method

References


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Wasselynck, G., Trichet, D., Fouladgar, J. (2013). Determination of the Electrical Conductivity Tensor of a CFRP Composite Using a 3-D Percolation Model. IEEE Transactions on Magnetics, 49 (5), 1825–1828. doi: 10.1109/tmag.2013.2241039

Schuster, J., Heider, D., Sharp, K., Glowania, M. (2008). Thermal conductivities of three-dimensionally woven fabric composites. Composites Science and Technology, 68 (9), 2085–2091. doi: 10.1016/j.compscitech.2008.03.024

Li, H., Li, S., Wang, Y. (2011). Prediction of effective thermal conductivities of woven fabric composites using unit cells at multiple length scales. Journal of Materials Research, 26 (04), 384–394. doi: 10.1557/jmr.2010.51

Zhao, Y., Tong, J., Yang, C., Chan, Y., Li, L. (2016). A simulation model of electrical resistance applied in designing conductive woven fabrics. Textile Research Journal, 86 (16), 1688–1700. doi: 10.1177/0040517515590408

Piche, A., Revel, I., Peres, G. (2011). Experimental and Numerical Methods to Characterize Electrical Behaviour of Carbon Fiber Composites Used in Aeronautic Industry. Advances in Composite Materials – Analysis of Natural and Man-Made Materials. 2011. doi: 10.5772/17563

Tokarska, M. (2017). Mathematical Model for Predicting the Resistivity of an Electroconductive Woven Structure. Journal of Electronic Materials, 46 (3), 1497–1503. doi: 10.1007/s11664-016-5186-x

Durville, D. (2008). Finite Element Simulation of the Mechanical Behaviour of Textile Composites at the Mesoscopic Scale of Individual Fibers. Computational Methods in Applied Sciences, 15–34. doi: 10.1007/978-1-4020-6856-0_2


GOST Style Citations


Analiz problemy sozdaniya i primeneniya kompozitov s povyshennoy elektroprovodnost'yu / Purgina S. M. et. al. // Tekhnologicheskie sistemy. 2017. Issue 1 (78). P. 52–56.

Barbero E. Introduction to Composite Materials Design. 3rd ed. Boca Raton: CRC Press, 2017. 570 p. doi: 10.1201/9781315296494 

Wittich H. The measurement of electrical properties of CFRP for damage detection and strain recording // Proceedings of the second European conference on composite testing and standardisation (ECCM-CTS). 1994. P. 447–457.

Chippendale R. D., Golosnoy I. O. Percolation effects in electrical conductivity of carbon fibre composites // IET 8th International Conference on Computation in Electromagnetics (CEM 2011). 2011. doi: 10.1049/cp.2011.0094 

Athanasopoulos N., Kostopoulos V. Prediction and experimental validation of the electrical conductivity of dry carbon fiber unidirectional layers // Composites Part B: Engineering. 2011. Vol. 42, Issue 6. P. 1578–1587. doi: 10.1016/j.compositesb.2011.04.008 

Wasselynck G., Trichet D., Fouladgar J. Determination of the Electrical Conductivity Tensor of a CFRP Composite Using a 3-D Percolation Model // IEEE Transactions on Magnetics. 2013. Vol. 49, Issue 5. P. 1825–1828. doi: 10.1109/tmag.2013.2241039 

Thermal conductivities of three-dimensionally woven fabric composites / Schuster J., Heider D., Sharp K., Glowania M. // Composites Science and Technology. 2008. Vol. 68, Issue 9. P. 2085–2091. doi: 10.1016/j.compscitech.2008.03.024 

Li H., Li S., Wang Y. Prediction of effective thermal conductivities of woven fabric composites using unit cells at multiple length scales // Journal of Materials Research. 2011. Vol. 26, Issue 04. P. 384–394. doi: 10.1557/jmr.2010.51 

A simulation model of electrical resistance applied in designing conductive woven fabrics / Zhao Y., Tong J., Yang C., Chan Y., Li L. // Textile Research Journal. 2016. Vol. 86, Issue 16. P. 1688–1700. doi: 10.1177/0040517515590408 

Piche A., Revel I., Peres G. Experimental and Numerical Methods to Characterize Electrical Behaviour of Carbon Fiber Composites Used in Aeronautic Industry // Advances in Composite Materials – Analysis of Natural and Man-Made Materials. 2011. doi: 10.5772/17563 

Tokarska M. Mathematical Model for Predicting the Resistivity of an Electroconductive Woven Structure // Journal of Electronic Materials. 2017. Vol. 46, Issue 3. P. 1497–1503. doi: 10.1007/s11664-016-5186-x 

Durville D. Finite Element Simulation of the Mechanical Behaviour of Textile Composites at the Mesoscopic Scale of Individual Fibers // Computational Methods in Applied Sciences. 2008. P. 15–34. doi: 10.1007/978-1-4020-6856-0_2 



DOI: https://doi.org/10.15587/1729-4061.2018.129062

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ISSN (print) 1729-3774, ISSN (on-line) 1729-4061