Transverse Moduli Effect on Dilatation and Through-Thickness Poisson’s Ratio of Composite Laminates

Abstract

In this paper, an investigation of the effect from the transverse elastic moduli of the lamina on the through-thickness Poisson’s ratio and the dilatation for a general class of randomly-oriented composite laminate is presented. A dimensionless mathematical model has been used to study the influence of the various transverse elastic moduli E2 and E3 of lamina on the through-thickness Poisson’s ratio and the dilatation of the laminate. The results from the analysis of this dimensionless mathematical model will provide a set of general guidelines for designing the value of through-thickness Poisson’s ratio and the dilatation of the composite laminates to meet various requirements in engineering application.

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References

1. R. Zhang , H.-L. Yeh and H.-Y. Yeh . 1998. “A Preliminary Study of Negative Poisson’s Ratio of Laminated Fiber Reinforced Composites,” Journal of Reinforced Plastics and Composites, Vol. 17, No. 18, pp. 1657–1664.

2. S. W. Tsai , and H. T. Hahn . 1980. Introduction to Composite Materials, Technomic, Lancaster, PA.

3. J. G. Bjeletich , F. W. Crossman and W. J. Warren . 1977. “The Influence of Stacking Sequence on Failure Modes in Quasi-Isotropic Graphite-Epoxy Laminates,” Failure Modes in Composites IV, ( Cornie and Crossman , eds.), The Metallurgical Society of AIME.

4. Carl T. Herakovich . 1984. “Composite Laminates with Negative Through-the-Thickness Poisson’s Ratios,” Journal of Composite Materials, Vol. 18, pp. 447–455.

5. H.-L. Yeh , H.-Y. Yeh , and R. Zhang . 1999. “A Study of Negative Poisson’s Ratio in Randomly Oriented Quasi-Isotropic Composite Laminates,” Journal of Composite Materials, Vol. 33, No. 19, pp. 1843–1857.

6. Robert M. Jones . 1999. Mechanics of Composite Materials, Taylor & Francis, Second Edition.

7. H.-L. Yeh , T. Huang and H.-Y. Yeh . 1992. “An Optimization Study of Randomly-Oriented Composite Laminate Made of Corneal Material Subjected to Plane Stress Condition,” Journal of Reinforced Plastics and Composites, Vol. 11, No. 6, pp. 661–669.

8. H.-L. Yeh and H.-Y. Yeh . 1992. “A Further Investigation of the Isotropy of Randomly-Oriented Composite Laminates,” Journal of Reinforced Plastics and Composites, Vol. 11, No. 12, pp. 1431–1445.

9. Kung, M. Wu and Brian L. Avery . 1992. “Fully Isotropic Laminates and Quasi-Homogeneous Anisotropic Laminates,” Journal of Composite Materials, Vol. 26, No. 14, pp. 2107–2117.

10.

10. Hisao Fukunaga . 1990. “On Isotropic Laminate Configurations,” Journal of Composite Materials, Vol. 24, pp. 519–535.

11.

11. H.-L. Yeh . 2000. “A Dimensionless Mathematical Model for Studying the Physical Parameters of Composite Laminates—Part I,” Submitted to International Journal of Solids and Structures.

12.

12. Ronald F. Gibson . 1994. Principles of Composite Material Mechanics, McGraw-Hill, Inc.

13.

13. Carl T. Herakovich . 1998. Mechanics of Fibrous Composites, John Wiley and Sons, Inc.

14.

14. H.-L. Yeh and H.-Y. Yeh . 2000. “Hygrothermal Expansion Coefficients of Composite Materials Studied by a Simple Statistical Approach,” Journal of Reinforced Plastics and Composites, Vol. 19, No. 10, pp. 792–817.

15.

15. H.-L. Yeh and H.-Y. Yeh . 2000. “Dilatation and Through-the-Thickness Poisson’s Ratio of Composite Laminates,” Journal of Reinforced Plastics and Composites, Vol. 19, No. 12, pp. 966–991.