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Buckling of Functionally Graded Plates under In‐plane Compressive Loading
Author(s) -
Javaheri R.,
Eslami M.R.
Publication year - 2002
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200204)82:4<277::aid-zamm277>3.0.co;2-y
Subject(s) - buckling , homogeneous , stability (learning theory) , mathematics , mathematical analysis , plane (geometry) , materials science , geometry , composite material , computer science , combinatorics , machine learning
In the present article, equilibrium and stability equations of rectangular functionally graded plates (FGPs) are determined using the variational approach. Derivation of equations are based on the classical plate theory. It is assumed that the material properties vary with the power product form of thickness coordinate variable z. Equilibrium and stability equations for FGPs are the same as the equations for homogeneous plates. The equilibrium and stability equations are employed to study the buckling behaviour of functionally graded plates with all edges simply supported and subjected to in‐plane loading conditions. By equating power law index to zero, predicted relation is reduced to the buckling equation of homogeneous plates which is available in the literature.