Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-27T01:10:32.797Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  05 May 2011

M.C. Hsieh  and
Chyanbin Hwu
M.C. Hsieh*
Affiliation:
Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
Chyanbin Hwu*
Affiliation:
Institute of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
* Ph.D student
** Professor
Get access

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.

Keywords

Composite laminatesAnisotropic elasticityPlate bending problemsStroh formalismFundamental elasticity matrices
Type
Articles
Information
Journal of Mechanics , Volume 18 , Issue 3 , September 2002 , pp. 109 - 118
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Stroh, A. N., “Dislocations and Cracks in Anisotropic Elasticity,” Phil. Mag., 7, pp. 625–646 (1958).CrossRefGoogle Scholar
2Stroh, A. N., “Steady State Problems in Anisotropic Elasticity,” J. Math. Phys., 41, pp. 77–103 (1962).CrossRefGoogle Scholar
3Ting, T. C. T., Anisotropic Elasticity—Theory and Applications, Oxford Science Publications, New York (1996).CrossRefGoogle Scholar
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. 1725–1741 (1994).CrossRefGoogle Scholar
5Cheng, Z. Q. and Reddy, J. N., “Octet Formalism for Kirchhoff Anisotropic Plates,” Proc. Roy. Soc. A, Vol. 458, pp. 1499–1517 (2002).CrossRefGoogle Scholar
6Hwu, C., “Stroh-Like Complex Variable Formalism for Bending Theory of Anisotropic Plates,” submitted for publication (2002).CrossRefGoogle Scholar
7Hwu, C., “Stroh-Like Formalism for the Coupled Stretching-Bending Analysis of Composite Laminates,” (2002).Google Scholar
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.Google Scholar
9Jones, R. M., Mechanics of Composite Materials, Scripta, Washinton, D.C. (1974).Google Scholar
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. 13–19 (1973).Google Scholar