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H. Amin Pour, N. Rizzi, G. Salerno, "A One-Dimensional Beam Model for Single-Wall Carbon Nano Tube Column Buckling", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 155, 2014. doi:10.4203/ccp.106.155

Keywords: nonlinear elasticity, postbuckling analysis, carbon nanotubes..

Summary

In this paper a one-dimensional continuum endowed with polynomial nonlinear hyperelastic constitutive functions is used in order to capture the necking and the Brazier effect arising in carbon nano tubes. In view of some preceding works by Antman and Podio-Guidugli this phenomena are seen as cases of bifurcation from a trivial nonlinear equilibrium path. The bifurcation analysis is performed by means of the asymptotic method. For a sample case, the bifurcation point and the eignemode are determined by solving a standard eigenvalue problem. The slopes of the trivial and the bifurcated equilibrium curves at the critical point are determined and also shown.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 155 A One-Dimensional Beam Model for Single-Wall Carbon Nano Tube Column Buckling H. Amin Pour, N. Rizzi and G. Salerno Università degli Studi Roma Tre, Rome, Italy doi:10.4203/ccp.106.155 purchase the full-text of this paper Full Bibliographic Reference for this paper H. Amin Pour, N. Rizzi, G. Salerno, "A One-Dimensional Beam Model for Single-Wall Carbon Nano Tube Column Buckling", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 155, 2014. doi:10.4203/ccp.106.155 Keywords: nonlinear elasticity, postbuckling analysis, carbon nanotubes.. Summary In this paper a one-dimensional continuum endowed with polynomial nonlinear hyperelastic constitutive functions is used in order to capture the necking and the Brazier effect arising in carbon nano tubes. In view of some preceding works by Antman and Podio-Guidugli this phenomena are seen as cases of bifurcation from a trivial nonlinear equilibrium path. The bifurcation analysis is performed by means of the asymptotic method. For a sample case, the bifurcation point and the eignemode are determined by solving a standard eigenvalue problem. The slopes of the trivial and the bifurcated equilibrium curves at the critical point are determined and also shown. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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