Buckling analysis of cylindrical thin-shells using strain gradient elasticity theory

Krishnan, Anoop N M and Ghosh, Debraj (2017) Buckling analysis of cylindrical thin-shells using strain gradient elasticity theory. In: MECCANICA, 52 (6). pp. 1369-1379.

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Abstract

The stability problem of cylindrical shells is addressed using higher-order continuum theories in a generalized framework. The length-scale effect which becomes prominent at microscale can be included in the continuum theory using gradient-based nonlocal theories such as the strain gradient elasticity theories. In this work, expressions for critical buckling stress under uniaxial compression are derived using an energy approach. The results are compared with the classical continuum theory, which can be obtained by setting the length-scale parameters to zero. A special case is obtained by setting two length scale parameters to zero. Thus, it is shown that both the couple stress theory and classical continuum theory forms a special case of the strain gradient theory. The effect of various parameters such as the shell-radius, shell-length, and length-scale parameters on the buckling stress are investigated. The dimensions and constants corresponding to that of a carbon nanotube, where the length-scale effect becomes prominent, is considered for this investigation.

Item Type:	Journal Article
Publication:	MECCANICA
Additional Information:	Copy right for this article belongs to the SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	26 Apr 2017 07:23
Last Modified:	26 Apr 2017 07:23
URI:	http://eprints.iisc.ac.in/id/eprint/56639

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