Technical Papers
Apr 28, 2012

Hygrothermoelastic Buckling Response of Laminated Composite Plates with Random System Properties: Macromechanical and Micromechanical Model

Publication: Journal of Aerospace Engineering
Volume 28, Issue 5

Abstract

The paper deals with the effect of moisture and temperature on the buckling response of a laminated composite plate subjected to hygrothermomechanical loadings. Mechanical loading consists of uniaxial, biaxial, and shear. The distribution of temperature and moisture on the surface is considered to be uniform. The degradation in material properties due to moisture and temperature is taken into account using a micromechanical model. The mathematical formulation is based on higher order shear deformation theory and von Karman’s nonlinear kinematics. A C0 finite-element method based on higher-order shear deformation plate theory is used for deriving the standard Eigenvalue problem. A Taylor series based mean-centered first-order perturbation technique is used to find out the second-order statistics of the hygrothermal buckling loads. The effects of temperature rise, moisture concentration, fiber-volume fraction, and plate parameters on buckling response of the plate are presented.

Get full access to this article

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

References

Bhagwan, D. A., and Lawrence, J. B. (1990). Analysis and performance of fiber composites, 2nd Ed., Wiley, New York.
Chen, L.-W., and Chen, L.-Y. (1989). “Thermal buckling behavior of laminated composite plates with temperature-dependent properties.” Compos. Struct., 13(4), 275–287.
Chen, S., Lin, Z., and Zhang, Z. (1992). “Random variation analysis for larger scale structures with random parameters.” Compos. Struct., 43(5), 881–887.
Englested, S. P., and Reddy, J. N. (1994). “Probabilistic methods for the analysis of matrix composite.” Compos. Sci. Technol., 50(1), 91–107.
Flaggs, D. L., and Vinson, J. R. (1978). “Hygrothermal effects on the buckling of laminated composite plates.” Fiber Sci. Technol., 11(5), 353–365.
Klieber, M., and Hien, T. D. (1992). The stochastic finite element method, Wiley, Chichester, U.K.
Lal, A., Singh, B. N., and Kumar, R. (2008). “Effect of random system properties on initial buckling of composite plates resting on elastic foundation.” Int. J. Struct. Stab. Dyn., 8(1), 103–130.
Lee, S. Y. and Yen, W. J. (1989). “Hygrothermal effects on the stability of a cylindrical composite shell panel.” Compos. Struct., 33(2), 551–559.
Lee, S. Y., Chou, C. J., Jang, J. L., and Lin, J. S. (1992). “Hygrothermal effects on linear and non-linear analysis of symmetric angle-ply laminated plates.” Compos. Struct., 21(1), 41–48.
Lin, Y. K. (1967). Probabilistic theory of structural dynamics, McGraw-Hill, New York.
Liu, W. K., Belytschko, T., and Mani, A. (1986). “A random field finite elements.” Int. J. Numer. Meth. Eng., 23(10), 1831–1845.
MATLAB [Computer software]. Natick, MA, MathWorks.
Nakagiri, S., Tatabatake, H., and Tani, S. (1990). “Uncertain Eigen value analysis of composite laminated plates by SFEM.” Compos. Struct., 14, 9–12.
Onkar, A. K., Upadhyay, C. S., and Yadav, D. (2006). “Generalized buckling analysis of laminated plates with random material properties using stochastic finite elements.” Int. J. Mech. Sci., 48(7), 780–798.
Pandey, R., Shukla, K. K., and Jain, A. (2009). “Thermoelastic stability analysis of laminated composite plates: An analytical approach.” Commun. Nonlinear Sci. Numer. Simul., 14(4), 1679–1699.
Patel, B. P., Ganapati, M., and Makhecha, D. P. (2002). “Hygrothermal effects on the structural behaviour of thick composite laminates using higher-order theory.” Compos. Struct., 56(1), 25–34.
Reddy, J. N. (1981). Energy and variational methods in applied mechanics, Wiley, New York.
Reddy, J. N. (1984). “A simple higher order theory for laminated composite plates.” ASME J. Appl. Mech., 51(4), 745–752.
Reddy, J. N. (1997). Mechanics of laminated composite plates: Theory and analysis, CRC, Boca Raton, FL.
Robert, M. J. (1975). Mechanics of composite materials international student edition, McGraw-Hill, New York.
SaiRam, K. S., and Sinha, P. K. (1992). “Hygrothermal effects on the buckling of laminated composite plates.” Compos. Struct., 21(4), 233–247.
Shankara, C. A., and Iyenger, N. G. R. (1996). “A C0 element for the free vibration analysis of laminated composite plates.” J. Sound Vib., 191(5), 721–738.
Shariyat, M. (2007). “Thermal buckling analysis of rectangular composite plates with temperature-dependent properties based on a layer wise theory.” Thin Walled Struct., 45(4), 439–452.
Shen, H.-S. (2001a). “Hygrothermal effects on the post buckling of shear deformable laminated plates.” Int. J. Mech. Sci., 43(5), 1259–1281.
Shen, H. S. (2001b). “Thermal post buckling behavior of imperfect shear deformable laminated plates with temperature-dependent properties.” Comput. Meth. Appl. Mech. Eng., 190(40–41), 5377–5390.
Singh, B. N., Iyengar, N. G. R., and Yadav, D. (2002). “A C0 finite element investigation for buckling analysis of composite plates with random material properties.” Struct. Eng. Mech., 13(1), 53–74.
Singh, B. N., Lal, A., and Kumar, R. (2009). “Post buckling of laminated composite plate on elastic foundation with random system properties.” Commun. Nonlinear Sci. Numer. Simul., 14(1), 284–300.
Singh, B. N., and Verma, V. K. (2009). “Hygrothermal effects on the buckling of laminated composite plates with random geometric and material properties.” J. Reinf. Plast. Compos., 28(4), 409–427.
Singh, B. N., Yadav, D., and Iyenger, N. G. R. (2001). “Stability analysis of laminated composite cylindrical panels with uncertain material properties.” Compos. Struct., 54(1), 17–26.
Srikanth, G., and Kumar, A. (2003). “Post buckling response and failure of symmetric laminates under uniform temperature rise.” Compos. Struct., 59(1), 109–118.
Upadhyay, A. K., Pandey, R., and Shukla, K. K. (2010). “Nonlinear flexural response of laminated composite plates under hygro-thermo-mechanical loading.” Commun. Nonlinear Sci. Numer. Simulat., 15(9), 2634–2650.
Whitney, J. M., and Ashton, J. E. (1971). “Effect of environment on the elastic response of layered composite plates.” AIAA J., 9(9), 1708–1713.
Yamin, Z., Chen, S., and Lue, Q. (1996). “Stochastic perturbation finite elements.” Comput. Struct., 59(3), 425–429.
Zang, Z., and Chen, S. (1991). “The standard deviations of the Eigen solutions for random MDOF systems.” Comput. Struct., 39(6), 603–607.
Zhang, J., and Ellingwood, B. (1995). “Effects of uncertain material properties on structural stability.” J. Struct. Eng., 705–716.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 28Issue 5September 2015

History

Received: Jun 3, 2011
Accepted: Apr 25, 2012
Published online: Apr 28, 2012
Discussion open until: Feb 23, 2015
Published in print: Sep 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Rajesh Kumar [email protected]
Professor, Dept. of Mechanical Engineering, World College of Technology and Management, Gurgaon, Haryana 123506, India (corresponding author). E-mail: [email protected]
H. S. Patil [email protected]
Professor, Dept. of Applied Mechanics, Sardar Vallabhbhai Patel National Institute of Technology, Surat, Gujarat 395007, India. E-mail: [email protected]
Assistant Professor, Dept. of Mechanical Engineering, Sardar Vallabhbhai Patel National Institute of Technology, Surat, Gujarat 395007, India. 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