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Analysis of functionally graded plates
Author(s) -
Reddy J. N.
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(20000110/30)47:1/3<663::aid-nme787>3.0.co;2-8
Subject(s) - isotropy , finite element method , plate theory , elasticity (physics) , power law , mathematics , mathematical analysis , materials science , geometry , structural engineering , composite material , physics , engineering , optics , statistics
Theoretical formulation, Navier's solutions of rectangular plates, and finite element models based on the third‐order shear deformation plate theory are presented for the analysis of through‐thickness functionally graded plates. The plates are assumed to have isotropic, two‐constituent material distribution through the thickness, and the modulus of elasticity of the plate is assumed to vary according to a power‐law distribution in terms of the volume fractions of the constituents. The formulation accounts for the thermomechanical coupling, time dependency, and the von Kármán‐type geometric non‐linearity. Numerical results of the linear third‐order theory and non‐linear first‐order theory are presented to show the effect of the material distribution on the deflections and stresses. Copyright © 2000 John Wiley & Sons, Ltd.