Acta Mechanica

, Volume 229, Issue 6, pp 2477–2493 | Cite as

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

  • G. Ruta
  • I. Elishakoff
Original Paper


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.


Functionally graded materials Circular plates Buckling Closed-form solutions Semi-inverse method 


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This work began when I. Elishakoff was a Visiting Professor at the Dipartimento di Ingegneria Strutturale e Geotecnica of the University of Rome “La Sapienza”, the support of which is gratefully acknowledged. G. Ruta acknowledges the support of the grants “Progetto di ricerca d’Ateneo” C26A15JLMP of the University of Rome “La Sapienza” (year 2015), as well as of the Italian national grant PRIN 2015TTJN95 “Identification and monitoring of complex structural systems.”


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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.DISGUniversity “La Sapienza”RomeItaly
  2. 2.Department of Mechanical EngineeringFlorida Atlantic UniversityBoca RatonUSA

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