Modeling the Effect of Boundary Conditions on the Stability of Multilayer Composite Structures: Case of Buckling Bifurcation. Analytical and Numerical Results Using “SHELL 181” Element

Mohammed El Youbi; Mohamed Rougui

doi:10.15866/ireme.v9i3.6082

Modeling the Effect of Boundary Conditions on the Stability of Multilayer Composite Structures: Case of Buckling Bifurcation. Analytical and Numerical Results Using “SHELL 181” Element

Mohammed El Youbi^(1*), Mohamed Rougui⁽²⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/ireme.v9i3.6082

Abstract

This research aims to analyze the buckling behavior of multilayered rectangular plates reinforced by fibers. The critical buckling load is calculated for various boundary conditions and takes into account the geometric and design parameters of the plate to identify the best configuration of a particular composite and to achieve a greater buckling strength. The computation of the critical buckling load is obtained by analytical and a numerical finite element analysis using “SHELL181”ANSYS element. The field of displacements of the plate is shown for the two first modes (i = 1, 2) a comparison of the two results is considered and discussed.
Copyright © 2015 Praise Worthy Prize - All rights reserved.

Keywords

Buckling; Composites Structures; Finite Elements; Multilayer Plate

Full Text:

PDF

References

J. M. Berthelot, Matériaux composites, (Edition TEC ET DOC. Paris. 3e edition).

R.M.Jones,Mechanics of Composite Materials (Taylor & Francis. Philadelphia. PA. 1999).

S. P. Timoshenko, Theory of Elastic Stability (McGraw-Hill. New York.1961).

S. P. Timoshenko, Theory of Plates and Shells (McGraw-Hill, 2nd Ed. 1959).

J. E. Ashton,J. M. Whitney, Theory of Laminated Plate (Technomic.Stamford. Conn.1970).

G. Bao, W. Jiang, J. C. Roberts, Analytic and Finite Element Solutions for Bending and Buckling of Orthotropic Rectangular Plates, Int. J. Solids Structures, Vol. 34, n. 14, pp. 1797-1822, 1997.
http://dx.doi.org/10.1016/s0020-7683(96)00114-x

I. A. Veres, L. P. Kollar, Buckling of Rectangular Orthotropic Plates Subjected to Biaxial Normal Forces, Journal of Composite Materials, Vol. 35, n. 7, pp. 625-635, 2001.
http://dx.doi.org/10.1106/t01w-yq2x-nu8x-6jv5

L. P. Kollar, G. S. Springer, Mechanics of Composite Structures, Cambridge University Press, NY, USA, 2003.

A. A. Khdeir, Stability of Antisymmetric Angle-Ply Laminated Plates, Journal of Engineering Mechanics, Vol. 115, n. 5, pp. 952-963,1989.
http://dx.doi.org/10.1061/(asce)0733-9399(1989)115:5(952)

A. A. Khdeir, Comparison Between Shear Deformable and Kirchhoff Theories for Bending Buckling and Vibration of Antisymmetric Angle Ply Laminated Plates, Composite Structures, Vol. 13, pp. 159-172, 1989.
http://dx.doi.org/10.1016/0263-8223(89)90001-9

W. Chen, Buckling Mode Change of Antisymmetric Angle-Ply Laminates, Journal of Engineering Mechanics, Vol. 120,n. 3, pp. 661-669, 1994.
http://dx.doi.org/10.1061/(asce)0733-9399(1994)120:3(661)

C. M. Wang, C. Y. Wang, J. N. Reddy, Exact Solutions for Buckling of Structural Members(CRC Press, LLC, 2005)
http://dx.doi.org/10.1201/9780203483534

R. M. Jones, Buckling of bars plates and shells (Bull Ridge Publishing, Blacksburg,VA, 2006).

J. N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis (Second edition, CRC Press, 2003).

ANSYS User’s Manuel (Version 14.5).

Refbacks

There are currently no refbacks.

Username
Password
Remember me