Unlike the post-buckling behaviors of classical piezoelectric cylindrical shell,the size-dependent effect of flexoelectric material and high strain gradient in the post-buckling process play an important role in the s...Unlike the post-buckling behaviors of classical piezoelectric cylindrical shell,the size-dependent effect of flexoelectric material and high strain gradient in the post-buckling process play an important role in the stability analysis of the micro/nano cylindrical shells.To reveal the impacts on the post-buckling of flexoelectric cylindrical shells,an accurate post-buckling model for the flexoelectric cylindrical shells under axial compression is proposed based on the higher-order shear deformation shell theory and von Karman geometrical nonlinearity.The size-dependent post-buckling equilibrium path with mode-jumping phenomena is obtained by using Galerkin’s method and Newton-Raphson method.The predicted results are in agreement with those reported in the open literature.A detailed parametric study is also carried out to investigate the influence of geometrical parameters,flexoelectric coefficients,and electric voltage on the size-dependent post-buckling behaviors of flexoelectric cylindrical shells.展开更多
基金supported by the Natural Science Foundation of Liaoning Province(Grant No.2023-MS-118)the Fundamental Research Funds for the Central Universities(Grant No.DUT22LK16).
文摘Unlike the post-buckling behaviors of classical piezoelectric cylindrical shell,the size-dependent effect of flexoelectric material and high strain gradient in the post-buckling process play an important role in the stability analysis of the micro/nano cylindrical shells.To reveal the impacts on the post-buckling of flexoelectric cylindrical shells,an accurate post-buckling model for the flexoelectric cylindrical shells under axial compression is proposed based on the higher-order shear deformation shell theory and von Karman geometrical nonlinearity.The size-dependent post-buckling equilibrium path with mode-jumping phenomena is obtained by using Galerkin’s method and Newton-Raphson method.The predicted results are in agreement with those reported in the open literature.A detailed parametric study is also carried out to investigate the influence of geometrical parameters,flexoelectric coefficients,and electric voltage on the size-dependent post-buckling behaviors of flexoelectric cylindrical shells.