Creep buckling of viscoelastic plates with geometrical nonlinearity

The creep buckling behavior of viscoelastic plates with initial deflections, subjected to axial compressive force, is analyzed. The von Karman nonlinear geometry equations are introduced in the thesis and standard linear solid model is employed. In order to change the nonlinear integral equations to a nonlinear algebraic equation which can be solved by using a standard subroutine, the trapezium method is used to calculate the hereditary integral expression, then the creep deformation of viscoelastic plate is obtained. Meanwhile, the instantaneous critical loads, durable critical loads are obtained. On the other hand, the problem of creep buckling is analyzed by using the linear geometric theory, an analytical solution of deflection varying with time is obtained. The influence of geometry nonlinearity on the creep buckling of viscoelastic plates is studied.