Microscopic Interlaminar Stress Analysis of CFRP Cross-Ply Laminate Using a Homogenization Theory

Abstract:

Microscopic stress distributions at an interlaminar area in a CFRP cross-ply laminate are analyzed three-dimensionally using a homogenization theory in order to investigate microscopic interaction between 0°- and 90°-plies. It is first shown that a cross-ply laminate has a point-symmetric internal structure on the assumption that each ply in the laminate has a square array of long fibers. Next, the point-symmetry is utilized to reduce the domain of homogenization analysis by half. Moreover, the substructure method is combined with the homogenization theory for reducing consumption of computational resources. The present method is then employed for analyzing stress distributions at an interlaminar area in a carbon fiber/epoxy cross-ply laminate under in-plane off-axis tensile loading. It is thus shown that microscopic shear stress significantly occurs at the interface between 0°- and 90°-plies. It is also shown that the microscopic interaction between two plies is observed only in the vicinity of the interface.

• Periodical: Key Engineering Materials (Volumes 340-341)
• Pages: 1043-1048
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.340-341.1043
• Online since: June 2007
• Authors: Tetsuya Matsuda, Dai Okumura, Nobutada Ohno, Masamichi Kawai
• Keywords: CFRP Laminate, Homogenization Theory, Interlaminar Stress, Point-Symmetry

References

[1] N.J. Pagano and E.F. Rybicki: J. Compos. Mater. Vol. 8 (1974), p.214.

[2] P. Raghavan, S. Moorthy, S. Ghosh and N.J. Pagano: Compos. Sci. Technol. Vol. 61 (2001), p.1017.

[3] P. Raghavan and S. Ghosh: Comput. Methods Appl. Mech. Eng. Vol. 193 (2004), p.497.

[4] N. Takano and M. Zako: Trans. Jpn. Soc. Mech. Eng., Ser. A Vol. 67 (2001), p.603, (in Japanese).

[5] T. Matsuda, N. Ohno, H. Tanaka and T. Shimizu: JSME Int. J., Ser. A Vol. 45 (2002), p.538.

[6] T. Matsuda, N. Ohno, H. Tanaka and T. Shimizu: Int. J. Mech. Sci. Vol. 45 (2003), p.1583.

[7] X. Wu and N. Ohno: Int. J. Solids Struct. Vol. 36 (1999), p.4991.

[8] N. Ohno, X. Wu and T. Matsuda: Int. J. Mech. Sci. Vol. 42 (2000), p.1519.

[9] A. Bensoussan, J.L. Lions and G. Papanicolaou: Asymp-totic Analysis for Periodic Structures, North-Holland Publishing Company, Amsterdam (1978).

[10] E. Sanchez-Palencia: Non-Homogeneous Media and Vibration Theory, Lecture Notes in Physics, No. 127, Springer-Verlag, Berlin (1980).

[11] N. Ohno, T. Matsuda and X. Wu: Int. J. Solids Struct. Vol. 38 (2001), p.2867.

[12] O.C. Zienkiewicz and R.L. Taylor: The Finite Element Method, 5th Edition, Butterworth- Heinemann, Oxford (2000).

[13] D. Okumura, N. Ohno and H. Noguchi: J. Mech. Phys. Solids Vol. 52 (2004), p.641.