Abstract
In this paper, a new theory about functionally gradient materials (FGM) is constructed from the concept of physical neutral surface and classical double curved shallow thin shell theory (CDSST). In this theory, there is no stretching-b ending coupling effect in constitutive equations, governing equations and boundary conditions have the simple forms as those of CDSST about homogeneous isotropic materials, so the solution procedure is as easy as homogeneous isotropic shell. Using this new theory, linear bending and vibration solutions are presented using analytical method and a nonlinear bending approximate solution is given out using Galerkin variational method. This new theory about FGM has more merits in engineering applications, because it is easier and simpler than any of geometric middle surface FGM double curved shallow shell theories.
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