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.
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e-mail: elishako@fau.edu
e-mail: cristina.gentilini@mail.ing.unibo.it
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September 2005
Technical Briefs
Three-Dimensional Flexure of Rectangular Plates Made of Functionally Graded Materials
Isaac Elishakoff,
Isaac Elishakoff
Department of Mechanical Engineering,
e-mail: elishako@fau.edu
Florida Atlantic University
, 777 Glades Road, Boca Raton, FL 33431-0091
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Cristina Gentilini
Cristina Gentilini
Dipartimento di Ingegneria delle Strutture, dei Trasporti, delle Acque, del Rilevamento, del Territorio,
e-mail: cristina.gentilini@mail.ing.unibo.it
University of Bologna
, Viale Risorgimento 2, 40136 Bologna, Italy
Search for other works by this author on:
Isaac Elishakoff
Department of Mechanical Engineering,
Florida Atlantic University
, 777 Glades Road, Boca Raton, FL 33431-0091e-mail: elishako@fau.edu
Cristina Gentilini
Dipartimento di Ingegneria delle Strutture, dei Trasporti, delle Acque, del Rilevamento, del Territorio,
University of Bologna
, Viale Risorgimento 2, 40136 Bologna, Italye-mail: cristina.gentilini@mail.ing.unibo.it
J. Appl. Mech. Sep 2005, 72(5): 788-791 (4 pages)
Published Online: January 18, 2005
Article history
Received:
May 31, 2004
Revised:
January 18, 2005
Citation
Elishakoff, I., and Gentilini, C. (January 18, 2005). "Three-Dimensional Flexure of Rectangular Plates Made of Functionally Graded Materials." ASME. J. Appl. Mech. September 2005; 72(5): 788–791. https://doi.org/10.1115/1.1985429
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