Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (7): 903-918.doi: https://doi.org/10.1007/s10483-016-2100-9

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Analytical solution approach for nonlinear buckling and postbuckling analysis of cylindrical nanoshells based on surface elasticity theory

R. ANSARI1, T. POURASHRAF1, R. GHOLAMI2, H. ROUHI3   

  1. 1. Department of Mechanical Engineering, University of Guilan, Rasht 13756, Iran;
    2. Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan 1616, Iran;
    3. Department of Engineering Science, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah 44891-63157, Iran
  • 收稿日期:2016-01-27 修回日期:2016-03-28 出版日期:2016-07-01 发布日期:2016-07-01
  • 通讯作者: R. ANSARI E-mail:ransari@guilan.ac.ir

Analytical solution approach for nonlinear buckling and postbuckling analysis of cylindrical nanoshells based on surface elasticity theory

R. ANSARI1, T. POURASHRAF1, R. GHOLAMI2, H. ROUHI3   

  1. 1. Department of Mechanical Engineering, University of Guilan, Rasht 13756, Iran;
    2. Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan 1616, Iran;
    3. Department of Engineering Science, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah 44891-63157, Iran
  • Received:2016-01-27 Revised:2016-03-28 Online:2016-07-01 Published:2016-07-01
  • Contact: R. ANSARI E-mail:ransari@guilan.ac.ir

摘要:

The size-dependent nonlinear buckling and postbuckling characteristics of circular cylindrical nanoshells subjected to the axial compressive load are investigated with an analytical approach. The surface energy effects are taken into account according to the surface elasticity theory of Gurtin and Murdoch. The developed geometrically nonlinear shell model is based on the classical Donnell shell theory and the von Kármán's hypothesis. With the numerical results, the effect of the surface stress on the nonlinear buckling and postbuckling behaviors of nanoshells made of Si and Al is studied. Moreover, the influence of the surface residual tension and the radius-to-thickness ratio is illustrated. The results indicate that the surface stress has an important effect on prebuckling and postbuckling characteristics of nanoshells with small sizes.

关键词: cylindrical nanoshell, postbuckling, surface stress, nonlinear buckling, analytical method

Abstract:

The size-dependent nonlinear buckling and postbuckling characteristics of circular cylindrical nanoshells subjected to the axial compressive load are investigated with an analytical approach. The surface energy effects are taken into account according to the surface elasticity theory of Gurtin and Murdoch. The developed geometrically nonlinear shell model is based on the classical Donnell shell theory and the von Kármán's hypothesis. With the numerical results, the effect of the surface stress on the nonlinear buckling and postbuckling behaviors of nanoshells made of Si and Al is studied. Moreover, the influence of the surface residual tension and the radius-to-thickness ratio is illustrated. The results indicate that the surface stress has an important effect on prebuckling and postbuckling characteristics of nanoshells with small sizes.

Key words: cylindrical nanoshell, postbuckling, analytical method, surface stress, nonlinear buckling

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