Skip to main content
Log in

Evaluation of elastic modulus for unidirectionally aligned short fiber composites

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

An analytical approach of to reinforcement for of short fiber reinforced composites has been extended to include the estimation of elastic modulus. The model is based on the theoretical development of shear lag theory developed by Cox for unidirectionally Aligned aligned Short short Fiber fiber Compositescomposites. Thus, the evolution of conventional models is described in detail along with the effect on the modulus of various parameters. Results are shown with experimental data as well as the comparison of other theories. It is found that the present model agrees well with experimental data and resolves some of the discrepancies among the previous models. It is also found that the present model is very accurate yet relatively simple to predict Young’s modulus of discontinuous composites and has the capability to correctly predict the effects of fiber aspect ratio, fiber volume fraction, and fiber/matrix modulus ratio.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. D. Agarwal and L. J. Broutman, Analysis and performance of Fiber Composites, John Wiley and Sons, New York, (1980) 71–104.

    Google Scholar 

  2. B. D. Agarwal, J. M. Lifsitz and L. J. Broutman, Elastic-Plastic Element Analysis of Short Fiber Compo-sites, Fiber Science and Technology, 7 (1974) 45–62.

    Article  Google Scholar 

  3. T. W. Clyne, A simple development of the shear lag theory appropriate for composites with a relatively small modulus mismatch,” Materials Science and Engineering A, 122 (1989) 183.

    Article  Google Scholar 

  4. H. L. Cox, The Elasticity and Strength of Paper and Other Fibrous Materials, British Journal of Applied Physics, 3 (1952) 72–79.

    Article  Google Scholar 

  5. J. M. Papazian and P. N. Adler, Tensile Properties of Short Fiber-Reinforced SiC/Al Part I. Effects of Matrix Precipitates, Metallurgical transactions A, 21 (1990) 401–410.

    Article  Google Scholar 

  6. B. Ji and T. Wang, Constitutive Behaviors of Discontinuous Reinforced Composites, Key Engineering Materials, 177–180 (2000) 297–302.

    Article  Google Scholar 

  7. H. G. Kim, “Investigation of Stress Field Evaluated by Elastic-Plastic Analysis in Discontinuous Composites, International Journal of Automobile Technology, 8(4) (2007) 483–491.

    Google Scholar 

  8. M. Taya and R. J. Arsenault, A Comparison between a Shear Lag Type Model and an Eshelby Type Model in Predicting the Mechanical Properties of Short Fiber Composite, Scripta Metallurgica, 21 (1987) 349–354.

    Article  Google Scholar 

  9. M. Taya and R. J. Arsenault, Metal Matrix Composites: Thermomechanical Behavior, Pergamon Press, (1989) 25–28.

  10. H. G. Kim, Effects of Fiber Aspect Ratio Evaluated by Elastic Analysis in Discontinuous Composites, Journal of Mechanical Science and Technology, 22 (2008) 411–419.

    Article  MATH  Google Scholar 

  11. J. C. Halpin, Primer on Composite Materials: Analysis, Technomic Publishing Co., Inc., (1984) 130–141.

  12. R. Hill, Elastic Properties of Reinforced Solid: Some Theoretical Principles, Journal of the Mechanics and Physics of Solids, 11 (1963) 357–372.

    Article  MATH  Google Scholar 

  13. J. C. Halpin, and J. L. Kardos, The Halpin-Tsai Equations: A Review, Polymer Engineering and Science, 16(5) (1976) 344–352.

    Article  Google Scholar 

  14. M. J. Starink and S. Syngellakis, Shear lag models for discontinuous composites: fibre end stresses and weak interface layers, Materials Science and Engineering A, 270 (1999) 270–277.

    Article  Google Scholar 

  15. M. D. Skibo, Stiffness and Strength of SiC-Al Compo-sites, SAND81-8212, Sandia Laboratory, California, USA, (1981).

    Google Scholar 

  16. H. Jeong, D. K. Hsu, R. E. Shannon and P. K. Liaw, Characterization of Anisotropic Elastic Constants of Silicon-Carbide Particulate Reinforced Aluminum Metal Matrix Composites: Part I. Experiment, Metallurgical Materials transactions A, 25 (1994) 799–809.

    Article  Google Scholar 

  17. Z. Jiang, et al., An analytical study of the influence of thermal residual stresses on the elastic and yield behaviors of short fiber reinforced metal matrix composites, Materials Science and Engineering A, 248 (1998) 256–275.

    Article  Google Scholar 

  18. D. J. Lloyd, International Materials Review, 39 (1994) 1.

    Google Scholar 

  19. D. L. McDanels, Analysis of Stress-Strain, Fracture, and Ductility Behavior of Aluminum Matrix Composites Containing Discontinuous Silicon Carbide Reinforcement, Metallurgical transactions A, 16(6) (1985) 1105–1115.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lee Ku Kwac.

Additional information

This paper was recommended for publication in revised form by Associate Editor Chongdu Cho

Hong Gun Kim received a B.S. and M.S. degree in Mechanical Engineering from Hanyang University in 1979 and 1984. He then went on to receive his Ph.D. degrees from University of Massachusetts in 1992, respectively. Dr. Kim is currently a Professor at the Department of Mechanical & Automotive Engineering at Jeonju University in jeonju, Korea. He is currently serving as an Editor of the KSAE and KSMTE. Dr. Kim’s research interests are in the area of fuel cell, FEM analysis, mechanical design, and composite mechanics.

Lee Ku Kwac received a B.S. degree in Precision Mechanical Engineering from Chosun University in 1999. He then went on to receive his M.S. and Ph.D. degrees from Chosun University in 2001 and 2005, respectively. Dr. Kwac currently a Professor at the Department of Mechanical & Automotive Engineering at Jeonju University in jeonju, Korea. Dr. Kwac’s research interests are in the area of fuel cell, nano-mechanism, and micro-machining.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, H.G., Kwac, L.K. Evaluation of elastic modulus for unidirectionally aligned short fiber composites. J Mech Sci Technol 23, 54–63 (2009). https://doi.org/10.1007/s12206-008-0810-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-008-0810-1

Keywords

Navigation