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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

  • Amar, Lemya Hanifi Hachemi (Faculte de Technologie, Departement de Genie Civil et Hydraulique, Universite Dr Tahar Moulay) ;
  • Kaci, Abdelhakim (Faculte de Technologie, Departement de Genie Civil et Hydraulique, Universite Dr Tahar Moulay) ;
  • Yeghnem, Redha (Faculte de Technologie, Departement de Genie Civil et Hydraulique, Universite Dr Tahar Moulay) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
  • Received : 2017.01.25
  • Accepted : 2017.09.29
  • Published : 2018.01.10
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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.

Keywords

References

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