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Exact Analysis of Stress Fields in Composite Laminates under Extension

Published online by Cambridge University Press:  12 August 2014

W.-Y. Liang ,
W.-D. Tseng  and
J.-Q. Tarn
W.-Y. Liang
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan
W.-D. Tseng*
Affiliation:
Department of Construction Engineering, Nan Jeon University of Science and Technology, Tainan, Taiwan
J.-Q. Tarn
Affiliation:
Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan
*
*wdtseng@mail.nju.edu.tw
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Abstract

Exact analysis of displacements and stresses in 2-D orthotopic laminates under extension is conducted. On the basis of the Hamiltonian state space approach and the transfer matrix method, a complete solution, in the context of generalized strain, which exactly satisfies the state space equation, the traction-free BC on the top and bottom surfaces of the rectangular section, the interfacial continuity conditions in multi-layered laminates, and the end conditions on free edges, is obtained by combing the eigensolutions and the particular solution. Evaluating of the stresses in the boundary layer for verification shows that the stress decay in laminates under uniform extension may be slow and the edge effects may be pronounced.

Keywords

Composite laminatesOrthotropic materialsFree edgesState space formalism
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 5 , October 2014 , pp. 477 - 489
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

1.Whitney, J. M., Structural Analysis of Laminated Anisotropic Plates, Technomic, Lancaster, PA (1987).Google Scholar
2.Pagano, N. J., “On the Calculation of Interlaminar Normal Stress in Composite Laminate,” Journal of Composite Materials, 8, pp. 65–82 (1974).CrossRefGoogle Scholar
3.Dong, S. B. and Goetschel, D. B., “Edge Effects in Laminated Composite Plates,” Journal of Applied Mechanics, 49, pp. 129–135 (1982).CrossRefGoogle Scholar
4.Kassapoglou, C. and Lagace, P. A., “Closed form Solutions for the Interlaminar Stress Field in Angle-Ply and Cross-Ply Laminates,” Journal of Composite Materials, 21, pp. 292–308 (1987).CrossRefGoogle Scholar
5.Becker, W., “Closed-Form Solution for the Free-Edge Effect in Cross-Ply Laminates,” Composite Structures, 26, pp. 39–45 (1993).Google Scholar
6.Wang, Y. M., Tarn, J. Q. and Hsu, C. K., “State Space Approach for Stress Decay in Laminates,” International Journal of Solids and Structures, 37, pp. 3535–3553 (2000).Google Scholar
7.Tarn, J. Q., “A State Space Formalism for Aniso-tropic Elasticity, Part I: Rectilinear Anisotropy,” International Journal of Solids and Structures, 39, pp. 5143–5155 (2002).Google Scholar
8.Lekhnitskii, S. G., Theory of Elasticity of an Aniso-tropic Body, Mir, Moscow (1981).Google Scholar
9.Chang, H. H. and Tarn, J. Q., “A State Space Approach for Exact Analysis of Composite Laminate and Functionally Grades Materials,” International Journal of Solids and Structures, 44, pp. 1409–1422 (2007).Google Scholar
10.Zhong, W. X., A New Systematic Methodology for Theory of Elasticity, Dalian University of Technology Press, Dalian, China (1995) (in Chinese).Google Scholar
11.Jones, R. M., Mechanics of Composite Materials, McGraw-Hill, New York (1975).Google Scholar