Quantum mechanics

Galerkin method

Composite number

Engineering

Buckling

Materials science

Displacement field

Eigenvalues and eigenvectors

Classical mechanics

Deflection (physics)

Physics

Finite element method

Nonlinear system

Instability

Composite material

Structural engineering

Stiffness

Mechanics

Composite Structures

Axial compressed cylindrical shell has a post-buckling equilibrium state far below the critical load of eigenvalue buckling, therefore the post-buckling analysis could provide a more reliable instability criterion for engineering design. In this paper, the post-buckling analysis of magneto-electro-elastic (MEE) composite cylindrical shells subjected to multi-field coupled loadings is performed. The nonlinear large deflection governing equations for MEE composite cylindrical shells are established based on the high-order shear deformation theory. The post-buckling equilibrium paths with mode-jumping phenomenon are obtained by the Galerkin’s method involving a set of newly defined displacement functions. A comparison study is presented to verify the accuracy of the present results and good agreements are achieved. The effects of geometrical parameters, material properties and multi-field coupled loadings on post-buckling behaviors of MEE composite cylindrical shells are discussed also.

Post-buckling analysis of magneto-electro-elastic composite cylindrical shells subjected to multi-field coupled loadings