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

• Published in: Applied mathematics and mechanics Vol. 37; no. 7; pp. 903 - 918
• Main Authors: Ansari, R., Pourashraf, T., Gholami, R., Rouhi, H.
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.07.2016; Department of Mechanical Engineering, University of Guilan, Rasht 13756, Iran%Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, Lahijan 1616, Iran%Department of Engineering Science, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah 44891-63157, Iran
• Subjects: Applications of Mathematics; Classical Mechanics; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; analytical method; nonlinear buckling; 74A90; postbuckling; cylindrical nanoshell; surface stress; 82B21; 74G60; O317; 82D80; 74K25
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-016-2100-9

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 Karman＇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 postbuekling characteristics of nanoshells with small sizes.