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Bending of an isotropic non-classical thin rectangular plate

  • Fadodun, Odunayo O. (Department of Mathematics, Obafemi Awolowo University) ;
  • Akinola, Adegbola P. (Department of Mathematics, Obafemi Awolowo University)
  • 투고 : 2016.06.24
  • 심사 : 2016.10.11
  • 발행 : 2017.02.25

초록

This study investigates the bending of an isotropic thin rectangular plate in finite deformation. Employing hyperelastic material of John's type, a non-classical model which generalizes the famous Kirchhoff's plate equation is obtained. Exact solution for deflection of the plate under sinusoidal loads is obtained. Finally, it is shown that the non-classical plate under consideration can be used as a replacement for Kirchhoff's plate on an elastic foundation.

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참고문헌

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피인용 문헌

  1. Dynamic analysis of a transversely isotropic non-classical thin plate vol.25, pp.1, 2017, https://doi.org/10.12989/was.2017.25.1.025
  2. Fractional wave propagation in radially vibrating non-classical cylinder vol.13, pp.5, 2017, https://doi.org/10.12989/eas.2017.13.5.465
  3. Analysis of axisymmetric fractional vibration of an isotropic thin disc in finite deformation vol.23, pp.5, 2019, https://doi.org/10.12989/cac.2019.23.5.303
  4. Conformable solution of fractional vibration problem of plate subjected to in-plane loads vol.28, pp.6, 2019, https://doi.org/10.12989/was.2019.28.6.347