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Steel and Composite Structures Volume 26, Number 1, January10 2018 , pages 89-102 DOI: https://doi.org/10.12989/scs.2018.26.1.089 |
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A new four-unknown refined theory based on modified couple stress theory for size-dependent bending and vibration analysis of functionally graded micro-plate |
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Lemya Hanifi Hachemi Amar (Corr. Author), Abdelhakim Kaci, Redha Yeghnem, Abdelouahed Tounsi
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| Abstract | ||
| 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 | ||