Steel and Composite Structures

  • 제26권1호
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  • Pages.89-102
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  • 2018
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

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)
  • 투고 : 2017.01.25
  • 심사 : 2017.09.29
  • 발행 : 2018.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

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피인용 문헌

  1. An analytical study on the size dependent longitudinal vibration analysis of thick nanorods vol.5, pp.7, 2018, https://doi.org/10.1088/2053-1591/aacf6e
  2. On bending analysis of perforated microbeams including the microstructure effects vol.76, pp.6, 2020, https://doi.org/10.12989/sem.2020.76.6.765