Determining the deflection of a thin composite plate in an unsteady temperature field

The buckling behavior of a thin particle-reinforced composite plate under the influence of an unsteady temperature field and a temperature gradient across its thickness is investigated. An analytic solution for bending of the plate is obtained in the form of double trigonometric series. Based on the analytic result, a numerical test is carried out to study the thickness and time dependences of the buckling behavior of a plate made of a PVC matrix and titanium particles.