Nonlinear time-dependent analysis of FG-CNT spherical sector with SMP matrix subjected to blast loads

Three-dimensional nonlinear elastic equations based on green strain tensor in the spherical coordinate system are developed to calculate the stress components of a thick FG-CNT spherical sector with a shape memory polymer (SMP) matrix subjected to blast loads. Implicit Euler’s-, Newton’s iteration-, and differential quadrature-methods are applied to solve the equations. The results of linear and nonlinear solutions are compared to those obtained by FEM. Moreover, the effects of mechanical properties of SMP, the angle of arrangement of FG-CNT fibers in the matrix, the environmental temperature, and the geometrical dimensions of shell on stress components, displacement, and velocity were presented.