In the present paper, the finite deformation and stress analysis for a hyperelastic rectangular plate with a center void under a uniaxial extension is studied.

Solute elastic rectangular thin plate by symplectic geometry method;

The analytical solutions for an elastic rectangular thin plate with two adjacent boundaries clamped-supported and the others simplified-supported are derived by a symplectic geometry method.

In this paper,the analytical solutions for an elastic rectangular thin plate with opposite boundary completely clamped support and others free were derived by a Symplectic geometry method.

Application of principle of minimum potential energy with mixed variables in stability of elastic thin rectangular plates with a free end;

In this paper,the principle of minimum potential energy with mixed variables is extended to solve the stability of elastic thin rectangular plates with simple boundary conditions and the characteristic equation and the result are given by it.

The existence and uniqueness of the global solution for the viscoelastic-plate equation under nonlinear boundary conditions;

With the nonlinearities of both general geometrical and general inertial types reserved, a set of nonlinear dynamic governing equations for an elastic rectangular plate undergoing a large overall motion is established by using Kane’s equation in this thesis.