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Static analysis of functionally graded beams using higher order shear deformation theory
Natrajan Ganesan
Published in
2008
Volume: 32
   
Issue: 12
Pages: 2509 - 2525
Abstract
Displacement field based on higher order shear deformation theory is implemented to study the static behavior of functionally graded metal-ceramic (FGM) beams under ambient temperature. FGM beams with variation of volume fraction of metal or ceramic based on power law exponent are considered. Using the principle of stationary potential energy, the finite element form of static equilibrium equation for FGM beam is presented. Two stiffness matrices are thus derived so that one among them will reflect the influence of rotation of the normal and the other shear rotation. Numerical results on the transverse deflection, axial and shear stresses in a moderately thick FGM beam under uniform distributed load for clamped-clamped and simply supported boundary conditions are discussed in depth. The effect of power law exponent for various combination of metal-ceramic FGM beam on the deflection and stresses are also commented. The studies reveal that, depending on whether the loading is on the ceramic rich face or metal rich face of the beam, the static deflection and the static stresses in the beam do not remain the same. © 2007 Elsevier Inc. All rights reserved.
About the journal
JournalApplied Mathematical Modelling
ISSN0307904X
Open AccessYes
Concepts (34)
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    Boundary conditions
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    Boundary value problems
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    Ceramic materials
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    Deflection (structures)
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    Deformation
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    Finite element method
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    Metals
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    Rotation
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    Shear deformation
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    Stiffness matrix
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    Ambient temperatures
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    BOUNDARY CONDITIONING
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    DEFLECTION AND STRESSES
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    Displacement fields
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    Distributed loads
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    Finite element
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    Functionally graded
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    FUNCTIONALLY GRADED BEAMS
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    FUNCTIONALLY GRADED METAL-CERAMIC BEAM
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    Higher order shear deformation theory
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    Numerica l results
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    POTEN TIAL ENERGY
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    POWER-LAW EXPONENTS
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    ROTATION OF THE NORMAL
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    SHEAR ROTATION
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    Simply supported
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    STATIC BEHAVIORS
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    STATIC DEFLECTIONS
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    STATIC EQUILIBRIUM
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    STATIC STRESSES
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    Stresses
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    TRANSVERSE DEFLECTION
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    TRANSVERSE DISPLACEMENT
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    Static analysis