Thermoelastic buckling of isotropic and orthotropic plates

摘要

The nonlinear 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 of thin or=thotropic plate are obtained. The stability equations are then devied through the second variation of the potential energy function. The thermal loadings include the uniform temperature rise, axial temperature difference, and gradient temperature through the thickness. The thermoelastic buckling of a thin plate under these thermal lodings are investigated for various boundary conditions including one free edge and three simply supported edges, and four simply supported edges. The results are extended to isotropic and othotropic thin plates.