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http://dx.doi.org/10.12989/sss.2021.27.4.847

A new quasi-3D theory for the study of the bending of thick FGM's plates on elastic foundation  

Belarouci, Abdelghani (Faculty of Technology, Civil Engineering and Public Works Department, University of Sidi Bel Abbes)
Fekrar, Abdelkader (Faculty of Technology, Civil Engineering and Public Works Department, University of Sidi Bel Abbes)
Publication Information
Smart Structures and Systems / v.27, no.5, 2021 , pp. 847-860 More about this Journal
Abstract
In this work, a new theory quasi-3D shear deformation is presented to analyze the bending of thick FGM (functionally graded materials) plates resting on Pasternak elastic foundations, whose number of variables is limited to five. The mathematical model used presents a new range of displacement based on indeterminate integral variables where the stretching of thickness is taken into account according to the power laws P-FGM, E-FGM and S-FGM. The compositions and volume fractions of the constituents in the FGM are supposed to change through the thickness. The principle of virtual work, as well as the Naiver method, is used in this study to solve the governing equations of motion to study these types of plates. The equilibrium equations according to the FG plate resting on Pasternak foundations are presented. The results obtained are compared to those determined by the other authors. It was observed from the comparative studies that quasi-3D theories that take into account thickness stretching effects can predict bending behavior more accurately than other theories.
Keywords
FGM plates; bending thick plates; Quasi 3-D theory; the stretching effect; Pasternak;
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Times Cited By KSCI : 3  (Citation Analysis)
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