Abstract
Optical imaging is performed to quantify the long-range behaviour of the in-plane tow centroid of a 2/2 twill woven textile composite produced by resin transfer moulding. The position of the carbon fibre tow paths is inspected over a square region of ten unit cells and characterised by decomposing the centroid data into a non-periodic non-stochastic handling effect and non-periodic stochastic fluctuations. A significantly different stochastic behaviour is observed for warp and weft direction. Variability of the in-plane coordinate, identified by the standard deviation, is found to be six times higher in weft direction. The spatial dependency of deviations along the tow demonstrates a correlation length of ten unit cells for warp tows, which is twice the length computed for weft tows. The observed bundling behaviour of neighbouring tows of the same type is quantified by a cross-correlation length. Warp tow deviations affect neighbouring centroid values within the unit cell dimension, while this effect exceeds the unit cell size for weft tows. The stochastic information reflects the difference in tow tensions during the weaving of the fabric.
Keywords
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bale H, Blacklock M, Begley M, Marshall D, Cox B, Ritchi R (2012) Characterizing three-dimensional textile ceramic composites using synchrotron X-ray micro-computed-tomography. J Am Ceram Soc 95:392–402
Blacklock M, Bale H, Begley M, Cox B (2012) Generating virtual textile composite specimens using statistical data from micro-computed tomography: 1D tow representations for the Binary Model. J Mech Phys Solids 60:451–470
Charmpis DC, Schuëller GI, Pellisetti MF (2007) The need for linking micromechanics of materials with stochastic finite elements: a challenge for materials science. Comput Mater Sci 41:27–37
Cox B, Yang Q (2006) In quest of virtual tests for structural composites. Science 314:1102–1107
Desplentere F, Lomov SV, Woerdeman DL, Verpoest I, Wevers M, Bogdanovich A (2005) Micro-CT characterization of variability in 3D textile architecture. Compos Sci Technol 65:1920–1930
Endruweit A, McGregor P, Long AC, Johnson MS (2006) Influence of the fabric architecture on the variations in experimentally determined in plane permeability values. Compos Sci Technol 66:1778–1792
Gan JM, Bickerton S, Battley M (2012) Quantifying variability within glass fibre reinforcements using an automated optical method. Compos Part A-Appl S 43:1169–1176
HexForce G0986 SB 1200 (2014), Product data hexcel, edition May 2014. http://hexply.com/hexforce/database/web/front/main/index.php
Mehrez L, Doostan A, Moens D, Vandepitte D (2012) Stochastic identification of composite material properties from limited experimental databases, part 1: experimental database construction. Mech Syst Signal Pr 27:471–483
Rousseau C, Engelstad S, Owens S (2012) Industry perspectives on composite structural certification and design. In: Proceedings of the 53rd AIAA/ASME/ASCE/AHS/ASC conference. Honolulu, Hawai, pp 1–10
Skordos AA, Sutcliffe MPF (2008) Stochastic simulation of woven composites forming. Compos Sci Technol 68:283–296
Vanaerschot A, Cox BN, Lomov SV, Vandepitte D (2013a) Stochastic framework for quantifying the geometrical variability of laminated textile composites using micro-computed tomography. Compos Part A-Appl S, 44:122–131
Vanaerschot A, Cox BN, Lomov SV, Vandepitte D (2013b) Stochastic multi-scale modelling of textile composites based on internal geometry variability. Comput Struct 122:55–64
Vandepitte D, Moens D (2009) Quantification of uncertain and variable model parameters in non-deterministic analysis. In: Proceedings of the IUTAM symposium on the vibration analysis of structures with uncertainties, St. Petersburg, Russia, pp 15–28
Vor̆echovský M (2008) Simulation of simply cross correlated random fields by series expansion methods. Struct Saf 30:337–363
Zhu TL (1993) A reliability-based safety factor for aircraft composite structures. Comput Struct 48:745–748
Acknowledgements
This study is supported by the Flemish Government through the Agency for Innovation by Science and Technology in Flanders (IWT) and FWO-Vlaanderen.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Vanaerschot, A., Cox, B.N., Lomov, S.V., Vandepitte, D. (2014). Stochastic Characterisation of the In-Plane Tow Centroid in Textile Composites to Quantify the Multi-scale Variation in Geometry. In: Papadrakakis, M., Stefanou, G. (eds) Multiscale Modeling and Uncertainty Quantification of Materials and Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-06331-7_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-06331-7_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06330-0
Online ISBN: 978-3-319-06331-7
eBook Packages: EngineeringEngineering (R0)