Skip to main content Accessibility help
×
Home

Explicit Expressions of the Fundamental Elasticity Matrices of Stroh-Like Formalism for Symmetric/Unsymmetric Laminates

  • M.C. Hsieh (a1) and Chyanbin Hwu (a1)

Abstract

Based upon our recent development of Stroh-like forma lism for symmetric/unsymmetric laminates, most of the relations for bending problems can be organized into the forms of Stroh formalism for two-dimensional problems. Through the use of Stroh-like formalism, the fundamental elasticity matrices Ni, S, H and L appear frequently in the real form solutions of plate bending problems. Therefore, the determination of these matrices becomes important in the analysis of plate bending problems. In this paper, by following the approach for two-dimensional problems, we obtain the explicit expressions of the fundamental elasticity matrices for symmetric and unsymmetric laminates, which are all expressed in terms of the extensional, bending and coupling stiffnesses of the composite laminates.

Copyright

Corresponding author

* Ph.D student
** Professor

References

Hide All
1Stroh, A. N., “Dislocations and Cracks in Anisotropic Elasticity,” Phil. Mag., 7, pp. 625646 (1958).
2Stroh, A. N., “Steady State Problems in Anisotropic Elasticity,” J. Math. Phys., 41, pp. 77103 (1962).
3Ting, T. C. T., Anisotropic Elasticity—Theory and Applications, Oxford Science Publications, New York (1996).
4Lu, P. and Mahrenholtz, O., “Extension of the Stroh Formalism to the Analysis of Bending of Anisotropic Elastic Plates,” J. Mech. Phys. Solids, 42, pp. 17251741 (1994).
5Cheng, Z. Q. and Reddy, J. N., “Octet Formalism for Kirchhoff Anisotropic Plates,” Proc. Roy. Soc. A, Vol. 458, pp. 14991517 (2002).
6Hwu, C., “Stroh-Like Complex Variable Formalism for Bending Theory of Anisotropic Plates,” submitted for publication (2002).
7Hwu, C., “Stroh-Like Formalism for the Coupled Stretching-Bending Analysis of Composite Laminates,” (2002).
8Hsieh, M. C. and Hwu, C., “Anisotropic Elastic Plates with Holes/Cracks/Inclusions Subjected to Out-of-Plane Bending Moments,” International Journal of Solids and Structures, in press.
9Jones, R. M., Mechanics of Composite Materials, Scripta, Washinton, D.C. (1974).
10Barnett, D. M. and Lothe, J., “Synthesis of the Sextic and the Integral Formalism for Dislocations, Greens Functions and Surface Waves in Anisotropic Elastic Solids,” Phys. Norv., 7, pp. 1319 (1973).

Keywords

Related content

Powered by UNSILO

Explicit Expressions of the Fundamental Elasticity Matrices of Stroh-Like Formalism for Symmetric/Unsymmetric Laminates

  • M.C. Hsieh (a1) and Chyanbin Hwu (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.