Three-dimensional flexure of rectangular plates made of functionally graded materials
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Article
Publication/Event/Conference Title
Journal of Applied Mechanics Transactions ASME
Publication Status
Version of Record
Abstract
A three-dimensional solution for the problem of transversely loaded, all-round clamped rectangular plates of arbitrary thickness is presented within the linear, small deformation theory of elasticity. The Ritz minimum energy principle is employed to derive the governing equation of the plate made of functionally graded materials. In theory, if we employ an infinite number of terms in the displacement series, the exact solution can be determined. However, a practical limit always exists due to numerical implementation. The solution has a validity comparable to some higher order theories. A power-law distribution for the mechanical characteristics is adopted to model the continuous variation of properties from those of one component to those of the other. The displacements and stresses of the plate for different values of the power-law exponent are investigated. Copyright © 2005 by ASME.
First Page
788
Last Page
791
DOI
10.1115/1.1985429
Publication Date
9-1-2005
Recommended Citation
Elishakoff, Isaac and Gentilini, Cristina, "Three-dimensional flexure of rectangular plates made of functionally graded materials" (2005). Faculty Scholarship. 422.
https://digitalcommons.fau.edu/faculty_papers/422