A variational formulation and analysis of polar orthotropic circular plates using an energy principle, part II: Thick plates

Ozer H.

SCIENCE AND ENGINEERING OF COMPOSITE MATERIALS, vol.15, no.1, pp.59-70, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2008
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.59-70
  • Yıldız Technical University Affiliated: No


The elastic modulus-to-shear modulus ratios are very large in composite materials in contrast to isotropic materials; therefore the effect of shear deformation is more important in composite plates than in isotropic plates. The shear deformation is considered using the first-order Mindlin plate theory. The variational formulation is used to derive the equilibrium equations, essential and natural boundary conditions of the plate. Closed form expressions of the deflections and the rotation of transverse normals are obtained for polar orthotropic thick circular plates. In this context, this paper constitutes an extension of a recent paper /1/, by providing an application to thick circular plates. The present formulation generalizes earlier works dealing with the polar orthotropic thin circular plate by solving the singularities and adding the shear deformation effect. A comparative analysis of the obtained results with those reported in literature is also provided.