Abstract
The purpose of this chapter is to modify the theory presented in Chap. 2 to account for a change of the constituent material—from the simple homogeneous isotropic metallic material to one that is anisotropic, or heterogeneous with multiple isotropic or fibre composite layers of different properties, or one that has its properties varying through the thickness in a continuous fashion—the so-called functionally graded material.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
R. F. Gibson, Principles of Composite Material Mechanics, CRC Press, 2007.
- 2.
see, for example:
R. M. Jones, Mechanics of Composite Materials, Taylor and Francis, 1999;
J. M. Whitney, Structural Analysis of Laminated Anisotropic Plates, Technomic, 1987.
- 3.
see for example:
Sudhakar Sharma, N. G. R. Iyengar, P. N. Murthy, Buckling of antisymmetric cross- and angle-ply laminated plates, International Jl. of Mechanical Sciences, 22, 1980, 607–620;
A. A. Khdeir, Comparison between shear deformable and Kirchhoff theories for bending, buckling and vibration of antisymmetric angle-ply laminated plates, Composite Structures, 13, 1989, 159–172.
- 4.
K. Bhaskar, An elegant and rigorous analytical solution for anti-symmetric angle-ply rectangular plates with any combination of simply supported and clamped edges, Jl. of Reinforced Plastics and Composites, 25, 2006, 1679–1689.
- 5.
A. W. Leissa, Y. Narita, Vibration studies for simply supported symmetrically laminated rectangular plates, Composite Structures, 12, 1989, 113–132.
- 6.
V. J. Papazoglou, N. G. Tsouvalis, G. D. Kyriakopoulos, Buckling of unsymmetric laminates under linearly varying biaxial in-plane loads combined with shear, Composite Structures, 20, 1992, 155–163.
- 7.
For an example, see: S. Chi, Y. Chung, Mechanical behaviour of FGM plates under transverse load—Part I: Analysis, International Jl. of Solids and Structures, 43, 2006, 3657–3674.
- 8.
see, for example:
E. Feldman, J. Aboudi, Buckling analysis of functionally-graded plates subjected to uniaxial loading, Composite Structures, 38, 1997, 29–36;
S. Y. Kuo, L. Shiau, Buckling and vibration of composite laminated plates with variable fiber spacing, Composite Structures, 90, 2009, 196–200.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2021 The Author(s)
About this chapter
Cite this chapter
Bhaskar, K., Varadan, T.K. (2021). Anisotropic, Laminated and Functionally Graded Plates. In: Plates. Springer, Cham. https://doi.org/10.1007/978-3-030-69424-1_9
Download citation
DOI: https://doi.org/10.1007/978-3-030-69424-1_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-69423-4
Online ISBN: 978-3-030-69424-1
eBook Packages: EngineeringEngineering (R0)