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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)
  • Received : 2016.06.24
  • Accepted : 2016.10.11
  • Published : 2017.02.25

Abstract

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.

Keywords

References

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