A new four-unknown refined theory based on modified couple stress theory for size-dependent bending and vibration analysis of functionally graded micro-plate
This work investigates a novel plate formulation and a modified couple stress theory that introduces a variable length scale parameter is presented to discuss the static and dynamic of functionally graded (FG) micro-plates. A new type of third-order shear deformation theory of Reddy that use only 4 unknowns by including undetermined integral variables is proposed in this study. The equations of motion are derived from Hamilton\'s principle. Analytical solutions are obtained for a simply supported micro-plate. Numerical examples are presented to examine the effect of the length scale parameter on the responses of micro-plates. The obtained results are compared with the previously published results to demonstrate the correctness of the present formulation.
Key Words
micro-plate; modified couple stress theory; the length scale parameter; functionally graded material
Address
Lemya Hanifi Hachemi Amar
, Abdelhakim Kaci, Redha Yeghnem — Faculty de Technologie, Departement de Genie Civil et Hydraulique, Universite Dr Tahar Moulay, BP 138 Cite En-Nasr 20000 Saida, Algerie
Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
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