Bending of an isotropic non-classical thin rectangular plate

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.