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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 106
PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by:
Paper 34
Two Layer Model of Functionally Graded Plate with Varying Poisson's Ratio D. Kennedy, S. Wei and F.J. Alcazar Arevalo
Cardiff School of Engineering, Cardiff University, United Kingdom D. Kennedy, S. Wei, F.J. Alcazar Arevalo, "Two Layer Model of Functionally Graded Plate with Varying Poisson's Ratio", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 34, 2014. doi:10.4203/ccp.106.34
Keywords: functionally graded, plates, vibration, dynamic stiffness, Wittrick-Williams algorithm, transverse shear..
Summary
A functionally graded plate whose material properties, including Poisson's ratio,
vary continuously through the thickness is modelled as an exactly equivalent plate
composed of two isotropic layers. The integrations required to obtain the membrane,
coupling and out-of-plane stiffness matrices are performed accurately using a series
solution. The model is validated by comparison with well converged solutions from
an approximate model in which the plate is divided into many isotropic layers.
Undamped natural frequencies are found more accurately than by an approximate
equivalent isotropic plate model, using both classical plate theory and first order
shear deformation plate theory.
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