An asymptotic consistent couple stress theory for the three‐dimensional free vibration analysis of functionally graded microplates resting on an elastic medium

Based on the three‐dimensional (3D) consistent couple stress theory (CCST), we develop an asymptotic theory for the free vibration analysis of functionally graded (FG) microplates resting on an elastic medium. The material properties of the FG microplate are assumed to obey a power‐law distribution...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2023-03, Vol.46 (4), p.4891-4919
Hauptverfasser:	Wu, Chih‐Ping, Lyu, Yu‐Shu
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Asymptotic series consistent couple stress theory Dimensional analysis Elastic media Elastic properties Equations of motion Exact solutions Free vibration functionally graded materials Functionally gradient materials Material properties microplates multiple time scale methods Plate theory the Winkler–Pasternak foundation Vibration analysis
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