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A higher-order shear and normal deformation functionally graded plate model: some recent results

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Title A higher-order shear and normal deformation functionally graded plate model: some recent results
 
Creator KANT, T
JHA, DK
SINGH, RK
 
Subject SANDWICH PLATES
VIBRATION
COMPOSITE
 
Description A higher-order shear and normal deformations plate theory is employed for stress analysis and free vibration of functionally graded (FG) elastic, rectangular, and simply (diaphragm) supported plates. Although functionally graded materials (FGMs) are highly heterogeneous in nature, they are generally idealized as continua with their mechanical properties changing smoothly with respect to the spatial coordinates. This idealization is required in order to obtain the closed-form solutions of some fundamental solid mechanics problems and also simplify the evaluation and development of numerical models of the structures made of FGMs. The material properties of FG plates such as Young's moduli and material density are considered in this case to vary continuously in the thickness direction according to the volume fraction of constituents and mathematically modeled as exponential and power law functions. Poisson's ratio is assumed to be constant. The effect of variation of material properties in terms of material grading index on the deformations, stresses, and natural frequency of FG plates is studied. The accuracy of the presented numerical solutions has been established with the solutions available of other models and the exact three-dimensional (3D) elasticity solutions.
 
Publisher SPRINGER WIEN
 
Date 2014-12-28T14:47:22Z
2014-12-28T14:47:22Z
2014
 
Type Article
 
Identifier ACTA MECHANICA, 225(10)2865-2876
0001-5970
1619-6937
http://dx.doi.org/10.1007/s00707-014-1213-2
http://dspace.library.iitb.ac.in/jspui/handle/100/16791
 
Language English