Abstract
The effects of fiber arrangement on the negative through-the-thickness Poisson’s ratios of angle-ply carbon fiber-reinforced plastic (CFRP) laminates are investigated based on a homogenization theory. First, angle-ply CFRP laminates are modeled three-dimensionally with \(+\theta \)- and \(-\theta \)-laminae in which carbon fibers are distributed in a hexagonal arrangement. Then, a homogenization theory for nonlinear time-dependent composites is applied to the laminates. Using the present method, the elastic-viscoplastic Poisson’s ratios of angle-ply carbon fiber/epoxy laminates are analyzed. The analysis results are then compared with those of the previous study, in which a square fiber arrangement in each lamina was assumed. It is shown that the fiber arrangement affects the negative through-the-thickness Poisson’s ratios of the laminates in both elastic and viscoplastic regions, though they have little effect on the macroscopic stress-strain relationships of the laminates.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Clarke JF, Duckett RA, Hine PJ, Hutchinson IJ, Ward IM (1994) Negative Poisson’s ratios in angle-ply laminates: theory and experiment. Compos 25:863–868
Harkati EH, Bezazi A, Scarpa F, Alderson K, Alderson A (2007) Modelling the influence of the orientation and fibre reinforcement on the negative Poisson’s ratio in composite laminates. Phys Stat Sol (b) 244:883–892
Herakovich CT (1984) Composite laminates with negative through-the-thickness Poisson’s ratios. J Compos Mater 18:447–455
Matsuda T, Ohno N, Tanaka H, Shimizu T (2002) Homogenized in-plane elastic-viscoplastic behavior of long fiber-reinforced laminates. JSME Int J Ser A 45:538–544
Matsuda T, Ohno N, Tanaka H, Shimizu T (2003) Effects of fiber distribution on elastic-viscoplastic behavior of long fiber-reinforced laminates. Int J Mech Sci 45:1583–1598
Matsuda T, Okumura D, Ohno N, Kawai M (2007) Three-dimensional microscopic interlaminar analysis of cross-ply laminates based on a homogenization theory. Int J Solids Struct 44:8274–8284
Matsuda T, Goto K, Kubota N, Ohno N (2014) Negative through-the-thickness Poisson’s ratio of elastic-viscoplastic angle-ply carbon fiber-reinforced plastic laminates: homogenization analysis. Int J Plast 63:152–169
Ohno N, Wu X, Matsuda T (2000) Homogenized properties of elastic-viscoplastic composites with periodic internal structures. Int J Mech Sci 42:1519–1536
Ohno N, Matsuda T, Wu X (2001) A homogenization theory for elastic-viscoplastic composites with point-symmetry of internal distributions. Int J Solids Struct 38:2867–2878
Wu X, Ohno N (1999) A homogenization theory for time-dependent nonlinear composites with periodic internal structures. Int J Solids Struct 36:4991–5012
Zienkiewicz OC, Taylor RL (2000) The finite element method, 5th edn. Butterworth-Heinemann, Oxford
Acknowledgments
The authors are grateful for partial support from a Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Young Scientists (B) (No. 25870101) and Grant-in-Aid for JSPS Fellows (No. 26\(\cdot \)2028).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Matsuda, T., Goto, K., Ohno, N. (2015). Effects of Fiber Arrangement on Negative Poisson’s Ratio of Angle-Ply CFRP Laminates: Analysis Based on a Homogenization Theory. In: Altenbach, H., Matsuda, T., Okumura, D. (eds) From Creep Damage Mechanics to Homogenization Methods. Advanced Structured Materials, vol 64. Springer, Cham. https://doi.org/10.1007/978-3-319-19440-0_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-19440-0_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19439-4
Online ISBN: 978-3-319-19440-0
eBook Packages: EngineeringEngineering (R0)