理学院知识库

Based on the classical nonlinear von Karman plate theory, axisymmetric large deflection bending of a functionally
graded circular plate is investigated under mechanical, thermal and combined thermal–mechanical loadings, respec-
tively, and axisymmetric thermal post-buckling behavior of a functionally graded circular plate is also investigated. The
mechanical and thermal properties of functionally graded material (FGM) are assumed to vary continuously through
the thickness of the plate, and obey a simple power law of the volume fraction of the constituents. Governing equations
for the problem are derived, and then a shooting method is employed to numerically solve the equations. Effects of
material constant n and boundary conditions on the temperature distribution, nonlinear bending, critical buckling
temperature and thermal post-buckling behavior of the FGM plate are discussed in details.