Nonlinear static analysis of FGM infinite cylindrical shallow shells based on physical neutral surface and high order shear deformation theory

A model of the FGM infinite cylindrical shallow shell is first established by using physical neutral surface and high order shear deformation theory. Temperature-dependent material properties and nonlinear von Kármán strain–displacement relationships are adopted. It is worth noting that stretching–bending couplings are eliminated in constitutive equations. Nonlinear static approximate solutions are given out using multi-term Ritz method, and the validity of this new model is confirmed by comparison with related researchers’ results. Influences played by different supported boundaries, geometrical property, thermal environmental conditions and volume fraction index are discussed in detail. It can be concluded that intensity of snap-through increase with increasing geometrical property and the temperature.