Post-buckling of two-dimensional decagonal piezoelectric quasicrystal cylindrical shells under compression

In this paper, a new theoretical model for post-buckling of two-dimensional decagonal piezoelectric quasicrystal (2D decagonal PQC) cylindrical shells under axial compression is proposed. The nonlinear post-buckling equations are established based on the high-order shear deformation theory and phonon-phason-electric coupling effect. A series of new displacement functions for both symmetric and asymmetric post-buckling modes are proposed to enhance the Galerkin's method. Therefore, the load-shortening curves with mode-jumping phenomenon and post-buckling deformations are accurately solved. Numerical results are compared with existing solutions and found to be in good agreement. A parametric study of geometrical parameters, phonon-phason-electric coupling effect and applied electric voltage on the post-buckling of two-dimensional piezoelectric quasicrystal cylindrical shells is carried out also. The results show that the geometrical parameters have a significant influence on both the post-buckling equilibrium paths and post-buckling deformations while the phonon-phason coupling effect and piezoelectric effect only lead to a shift in the post-buckling equilibrium path.