In this paper, we study buckling of radially FGM circular plates. In a previous study, a fourth-order polynomial expressing the exact solution of a linear elastic problem was used as buckling mode shape. To generalise such investigation, in this contribution the buckling mode is postulated to take the shape of a fifth-order polynomial function of the radial coordinate. The flexural rigidity is consequently sought as a polynomial of suitable order, expressing the functional grading. New solutions in closed form are then obtained by a semi-inverse method. It is found that suitable choices of functional grading may increase the buckling load up to 246% with respect to the homogeneous and uniform cases.

Suitable radial grading may considerably increase buckling loads of FGM circular plates / Ruta, Giuseppe; Elishakoff, Isaac. - In: ACTA MECHANICA. - ISSN 0001-5970. - STAMPA. - 229:(2018), pp. 2477-2493. [10.1007/s00707-017-2095-x]

Suitable radial grading may considerably increase buckling loads of FGM circular plates

Giuseppe, Ruta
Investigation
;
2018

Abstract

In this paper, we study buckling of radially FGM circular plates. In a previous study, a fourth-order polynomial expressing the exact solution of a linear elastic problem was used as buckling mode shape. To generalise such investigation, in this contribution the buckling mode is postulated to take the shape of a fifth-order polynomial function of the radial coordinate. The flexural rigidity is consequently sought as a polynomial of suitable order, expressing the functional grading. New solutions in closed form are then obtained by a semi-inverse method. It is found that suitable choices of functional grading may increase the buckling load up to 246% with respect to the homogeneous and uniform cases.
2018
Functionally graded materials, Circular plates, Buckling, Closed-form solutions, Semi-inverse method
01 Pubblicazione su rivista::01a Articolo in rivista
Suitable radial grading may considerably increase buckling loads of FGM circular plates / Ruta, Giuseppe; Elishakoff, Isaac. - In: ACTA MECHANICA. - ISSN 0001-5970. - STAMPA. - 229:(2018), pp. 2477-2493. [10.1007/s00707-017-2095-x]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1064934
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