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

被引：22
作者：
Ansari, R. [1 ]
Pourashraf, T. [1 ]
Gholami, R. [2 ]
Rouhi, H. [3 ]
机构：
[1] Univ Guilan, Dept Mech Engn, Rasht 13756, Iran
[2] Islamic Azad Univ, Lahijan Branch, Dept Mech Engn, Lahijan 1616, Iran
[3] Univ Guilan, Fac Engn & Technol, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2016年 / 37卷 / 07期
关键词：
cylindrical nanoshell; surface stress; nonlinear buckling; postbuckling; analytical method; PULL-IN INSTABILITY; FUNCTIONALLY GRADED NANOBEAMS; NONLOCAL ELASTICITY; VIBRATION ANALYSIS; BOUNDARY-CONDITIONS; NANOPLATES SUBJECT; CARBON NANOTUBES; WAVE-PROPAGATION; CONTINUUM MODELS; FORCED VIBRATION;
D O I：
10.1007/s10483-016-2100-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 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 postbuckling characteristics of nanoshells with small sizes.
引用
收藏
页码：903 / 918
页数：16
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