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Stress Analysis of Transversely Loaded Functionally Graded Plates with a Higher Order Shear and Normal Deformation Theory

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Title Stress Analysis of Transversely Loaded Functionally Graded Plates with a Higher Order Shear and Normal Deformation Theory
 
Creator JHA, DK
KANT, T
SINGH, RK
 
Subject Higher order shear and normal deformation theory
Functionally graded plates
Navier solution
Transversely loaded plates
THICK RECTANGULAR-PLATES
SANDWICH PLATES
VIBRATION
COMPOSITE
PRESSURE
 
Description Static analysis of orthotropic functionally graded (FG) elastic, rectangular, and simply supported (diaphragm) plates under transverse loads is presented based on a higher order shear and normal deformation theory (HOSNT). Although functionally graded materials (FGMs) are highly heterogeneous in nature, they are generally idealized as continua with mechanical properties changing smoothly with respect to the spatial coordinates. The material properties of FG plates are assumed here to be varying through the thickness of the plate in a continuous manner. The Poisson's ratios of the FG plates are assumed to be constant, but their Young's moduli vary continuously in the thickness direction according to the volume fraction of constituents, which are mathematically modeled as an exponential function. The governing equations of equilibrium for the FG plates are derived on the basis of a HOSNT assuming varying material properties. Numerical solutions are obtained by the use of the Navier solution method. Several examples of isotropic, orthotropic, and FG plates are presented. The accuracy of the numerical solutions has been compared with the solutions obtained by other models and the exact three-dimensional (3D) elasticity solutions. (C) 2013 American Society of Civil Engineers.
 
Publisher ASCE-AMER SOC CIVIL ENGINEERS
 
Date 2014-10-16T12:32:06Z
2014-10-16T12:32:06Z
2013
 
Type Article
 
Identifier JOURNAL OF ENGINEERING MECHANICS, 139(12)1663-1680
0733-9399
1943-7889
http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000601
http://dspace.library.iitb.ac.in/jspui/handle/100/15554
 
Language en