For a number of materials used in modern practice, calculations according to the classical theory elasticity give incorrect results. To ensure reliable operation structures, there is need for new theories. At present, particular interest practical applications asymmetric moment elasticity. In work, by method hypotheses, three-dimensional equations are reduced plates. The hypotheses plates formu...

We study the problem of the rigorous derivation of one-dimensional models for a thin curved beam starting from three-dimensional nonlinear elasticity. We describe the limiting models obtained for different scalings of the energy. In particular, we prove that the limit functional corresponding to higher scalings coincides with the one derived by dimension reduction starting from linearized elast...

This study investigates the free vibration of the Two-Dimensional Functionally Graded Annular Plates (2D-FGAP). The theoretical formulations are based on the three-dimensional elasticity theory with small strain assumption. The Two-Dimensional Generalized Differential Quadrature Method (2D-GDQM) as an efficient and accurate semi-analytical approach is used to discretize the equations of motion ...