Thermoelastic Buckling of Plates with Imperfections Based on a Higher Order Displacement Field

摘要

The nonlinear higher order strain-displacement relations for thin orthotropic plates are considered and substituted into the potential energy function for thermoelastic loadings. The Euler equations are then applied to the functional of energy and the general Thermoelastic equations for a thin orthotropic plate are obtained. The stability equa- Tions are then derived through the second variation of the potential energy function. The Results are extended to imperfect isotropic plates based on the Koiter model. The Thermal loadings include uniform temperature rise, axial temperature difference, and Gradient temperature through the thickness. The thermoelastic buckling of a thin iso- Tropic plate with imperfections under those thermal loadings is investigated.