Analysis of nonlinear elasto-plastic of axisymmetric spherical shell by Chebyshev spectral collocation method under the pulsating forces

This paper investigates nonlinear elasto-plastic analysis of the dynamic response of composite spherical shells base on the isotropic hardening and flow rule theorem. Elasto-plastic strain-hardening is expressed at this stage and the plastic strain obtains to combine with elastic strain to present the elastoplastic constitutive relation of composite spherical shells. Analytical solution of the governing p equations are based on the Chebyshev spectral collocation methods. In numerical example, the effective of different external loads on the nonlinear elastic and nonlinear elasto-plastic of composite spherical shell are discussed in details. The result shows the discrepancy between of elastic and elastoplastic state and with considering of radius shells.

Keywords:

Spherical shells , elasto-plastic , nonlinear , Chebyshev spectral collocation method