Analytic three-dimensional elasticity solutions are presented for the stress and free vibration problems of multilayered anisotropic plates. The plates are assumed to have rectangular geometry and antisymmetric lamination with respect to the middle plane. A mixed formulation is used with the fundamental unknowns consisting of the six stress components and the three displacement components of the plate. Each of the plate variables is decomposed into symmetric and antisymmetric components in the thickness direction, and is expressed in terms of a double Fourier series in the Cartesian surface coordinates. Extensive numerical results are presented showing the effects of variation in the lamination and geometric parameters of composite plates on the importance of the transverse stress and strain components.
Skip Nav Destination
Article navigation
March 1990
Research Papers
Three-Dimensional Solutions for Antisymmetrically Laminated Anisotropic Plates
Ahmed K. Noor,
Ahmed K. Noor
George Washington University, NASA Langley Research Center, Hampton, VA 23665
Search for other works by this author on:
W. Scott Burton
W. Scott Burton
George Washington University, NASA Langley Research Center, Hampton, VA 23665
Search for other works by this author on:
Ahmed K. Noor
George Washington University, NASA Langley Research Center, Hampton, VA 23665
W. Scott Burton
George Washington University, NASA Langley Research Center, Hampton, VA 23665
J. Appl. Mech. Mar 1990, 57(1): 182-188 (7 pages)
Published Online: March 1, 1990
Article history
Received:
November 8, 1988
Revised:
May 2, 1989
Online:
March 31, 2008
Citation
Noor, A. K., and Burton, W. S. (March 1, 1990). "Three-Dimensional Solutions for Antisymmetrically Laminated Anisotropic Plates." ASME. J. Appl. Mech. March 1990; 57(1): 182–188. https://doi.org/10.1115/1.2888300
Download citation file:
Get Email Alerts
Enhancement of Synchronization in Nonlinear MEMS Oscillator Based on Electrothermal Adjustment
J. Appl. Mech (April 2025)
Dynamics of an Electric Field Vulnerable Morpho-Elastic Biological Membranes
J. Appl. Mech (April 2025)
Related Articles
Three-Dimensional Solutions for the Free Vibrations and Buckling of Thermally Stressed Multilayered Angle-Ply Composite Plates
J. Appl. Mech (December,1992)
Vibration Analysis of Anisotropic Simply Supported Plates by Using Variable Kinematic and Rayleigh-Ritz Method
J. Vib. Acoust (December,2011)
A General Mode Approach to Nonlinear Flexural Vibrations of Laminated Rectangular Plates
J. Appl. Mech (September,1978)
Related Proceedings Papers
Related Chapters
Free Vibration and Buckling Analysis of Rectangular Plates under Nonuniform Normal In-Plane Loading
International Conference on Mechanical and Electrical Technology 2009 (ICMET 2009)
Biaxial Strength Testing of Isotropic and Anisotropic Monoliths
Multiaxial Fatigue and Deformation: Testing and Prediction
Approximate Analysis of Plates
Design of Plate and Shell Structures