On the vibration of functionally graded annular plate with elastic edge supports and resting on Winkler foundation

2021 ◽  
pp. 1-16
Author(s):  
Soheil Hashemi ◽  
Farshad Zamani ◽  
Arash Eftekhari ◽  
Yasser Rostamiyan ◽  
Himan Khaledi ◽  
...  
Keyword(s):  
Annular Plate ◽  
Functionally Graded ◽  
Winkler Foundation ◽  
Elastic Edge

BUCKLING AND WRINKLING OF A FUNCTIONALLY GRADED MATERIAL (FGM) THIN FILM

2012 ◽  
Vol 04 (02) ◽  
pp. 1250012 ◽  
Author(s):  
MASOUD NOROOZI ◽  
LIYING JIANG
Keyword(s):  
Thin Film ◽  
Thin Films ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
Mode Shapes ◽  
Winkler Foundation ◽  
Bending Rigidity ◽  
Free Standing ◽  
Buckling Mode ◽  
Graded Material

The instability of a functionally graded material (FGM) strip as a free standing film or a substrate-bound film is studied in this work, in which the stiffness of the film is assumed to change exponentially along the length. The buckling load and the buckling mode shapes for the free standing FGM film are determined analytically. For the substrate-bound film, the substrate is modeled as a Winkler foundation and the wrinkling load and wrinkling pattern are determined numerically by using a finite difference method and a series solution. In contrast with the wrinkling of homogenous thin films in which the wrinkles propagate in the entire domain, the wrinkles of the FGM films accumulate around the location with the least bending rigidity. The results of this work show that the sensitivity of the wrinkle accumulation around the weak locations of the system with lower stiffness is very high. This work is expected to provide a better understanding for localization of wrinkles around a region of substrate-bounded thin films in thin film technology.

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