TECHNICAL NOTES
Mar 24, 2010

Application of the Analytical Strip Method to Antisymmetric Laminates

Publication: Journal of Engineering Mechanics
Volume 136, Issue 10

Abstract

The analytical strip method is presented in this paper for the analysis of the bending-extension coupling problem of antisymmetric thin laminates. A system of three equations of equilibrium, governing the general response of antisymmetric laminates, is reduced to a single eighth-order partial differential equation (PDE) in terms of a displacement function. The PDE is then solved in a single series form to determine the displacement response of antisymmetric cross-ply and angle-ply laminates. The solution is applicable to rectangular laminates with two opposite edges simply supported and the other edges being simply supported, clamped, or free. The laminate can be subjected to any combination of concentrated, uniform, line, and patch loads. This method overcomes the limitations of other analytical methods (e.g., Navier’s and Levy’s) and provides an alternative to numerical, seminumerical, and approximate methods for rectangular plates with two parallel edges simply supported. The results obtained from this method compare very well with the ones derived using the finite-element program ANSYS and, where applicable, the existing classical laminated plate theory.

Get full access to this article

View all available purchase options and get full access to this article.

References

ANSYS, Inc. (2007). Documentation for ANSYS, Revision 11.0, ANSYS, Canonsburg, PA.
Bhaskar, K., and Kaushik, B. (2005). “Analysis of clamped unsymmetric cross-ply rectangular plates by superposition of simple exact double Fourier series solutions.” Compos. Struct., 68(3), 303–307.
Guo, M., Harik, I. E., and Ren, W. X. (2002). “Semi-discrete finite element analysis of slab-girder bridges.” Comput. Struct., 80(23), 1789–1796.
Harik, I. E., Guo, M. W., and Ren, W. X. (2002). “Bending analysis of stiffened laminated plates.” Advanced in Structural Engineering—Int. J., 5(3), 153–163.
Harik, I. E., and Salamoun, G. L. (1986). “Analytical strip solution to rectangular plates.” J. Eng. Mech., 112(1), 105–118.
Khdeir, A. A. (1989). “Comparison between shear deformable and Kirchhoff theories for bending, buckling and vibration of antisymmetric angle-ply laminated plates.” Compos. Struct., 13(3), 159–172.
Kong, J., and Cheung, Y. K. (1993). “Application of the spline finite strip to the analysis of shear-deformable plates.” Comput. Struct., 46(6), 985–988.
Reddy, J. N. (1984). “A simple higher-order theory for laminated composite plates.” ASME J. Appl. Mech., 51(4), 745–752.
Reddy, J. N. (2004). Mechanics of laminated composite plates and shells, theory and analysis, 2nd Ed., CRC, Boca Raton, FL.
Sharma, S., Iyengar, N. G. R., and Murthy, P. N. (1980). “Buckling of antisymmetric cross- and angle-ply laminated plates.” Int. J. Mech. Sci., 22(10), 607–620.
Sun, L. (2009). “Analytical strip method to antisymmetric laminated plates.” Ph.D. thesis, Univ. of Kentucky, Lexington, Ky.
Vel, S. S., and Batra, R. C. (1999). “Analytical solution for rectangular thick laminated plates subjected to arbitrary boundary conditions.” AIAA J., 37(11), 1464–1473.
Whitney, J. M. (1969). “The effect of transverse shear deformation in the bending of laminated plates.” J. Compos. Mater., 3, 534–547.
Whitney, J. M., and Leissa, A. W. (1969). “Analysis of heterogeneous anisotropic plates.” ASME J. Appl. Mech., 36(2), 261–266.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 136Issue 10October 2010
Pages: 1293 - 1298

History

Received: Aug 5, 2009
Accepted: Mar 22, 2010
Published online: Mar 24, 2010
Published in print: Oct 2010

Permissions

Request permissions for this article.

Authors

Affiliations

Liecheng Sun, M.ASCE [email protected]
P.E.
Senior Research Engineer, Kentucky Transportation Center, Univ. of Kentucky, Lexington, KY 40506 (corresponding author). E-mail: [email protected]
Issam E. Harik, M.ASCE [email protected]
Professor, Dept. of Civil Engineering, Univ. of Kentucky, Lexington, KY 40506. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share