DQ THERMAL BUCKLING ANALYSIS OF EMBEDDED CURVED CARBON NANOTUBES BASED ON NONLOCAL ELASTICITY THEORY

Authors

  • ALIREZA SETOODEH FACULTY OF MECHANICAL & AEROSPACE ENGINEERING, SHIRAZ UNIVERSITY OF TECHNOLOGY, SHIRAZ, IRAN
  • MORTEZA DERAHAKI FACULTY OF MECHANICAL & AEROSPACE ENGINEERING, SHIRAZ UNIVERSITY OF TECHNOLOGY, SHIRAZ, IRAN
  • NAVID BAVI MECHANICAL ENGINEERING DEPARTMENT, FACULTY OF ENGINEERING, SHAHID CHAMRAN UNIVERSITY, AHVAZ, IRAN CURRENT ADDRESS: MECHANOSENSORY BIO-PHYSICS LABORATORY, VICTOR CHANG CARDIAC RESEARCH INSTITUTE, SYDNEY, NEW SOUTH WALES 2010, AUSTRALIA

Keywords:

CURVED CARBON NANOTUBES, THERMAL BUCKLING, NONLOCAL ELASTICITY THEORY, DIFFERENTIAL QUADRATURE METHOD

Abstract

TO INVESTIGATE THE THERMAL BUCKLING OF CURVED CARBON NANOTUBES (CCNTS) EMBEDDED IN AN ELASTIC MEDIUM, NONLOCAL ELASTICITY THEORY IS EMPLOYED IN COMBINATION WITH THE THEORY OF THIN CURVED BEAMS. DIFFERENTIAL QUADRATURE (DQ) METHOD IS IMPLEMENTED TO DISCRETIZE THE RESULTED GOVERNING EQUATIONS. SOLVING THESE EQUATIONS ENABLE US TO ESTIMATE THE CRITICAL TEMPERATURE AND THE CRITICAL AXIAL BUCKLING LOAD FOR CCNTS SURROUNDED BY AN ELASTIC MEDIUM AND UNDER THE EFFECT OF A UNIFORM TEMPERATURE CHANGE. THE ELASTIC INTERACTION BETWEEN THE NANOTUBE AND ITS SURROUNDING MEDIUM IS MODELED AS A WINKLERÂPASTERNAK ELASTIC FOUNDATION. THE FAST CONVERGENCE OF THE DQ METHOD IS DEMONSTRATED AND ALSO ITS ACCURACY IS VERIFIED BY COMPARING THE RESULTS WITH AVAILABLE SOLUTIONS IN THE LITERATURE. THE EFFECTS OF VARIOUS PARAMETERS SUCH AS DIFFERENT BOUNDARY CONDITIONS, NONLOCAL PARAMETER, WINKLER AND PASTERNAK ELASTIC MODULUS, TEMPERATURE AND NANOTUBE CURVATURE ON THE CRITICAL BUCKLING TEMPERATURE AND LOAD ARE SUCCESSFULLY STUDIED. THE RESULTS REVEAL THAT THE CRITICAL BUCKLING LOAD DEPENDS SIGNIFICANTLY ON THE CURVATURE OF THE CCNT.

Author Biographies

ALIREZA SETOODEH, FACULTY OF MECHANICAL & AEROSPACE ENGINEERING, SHIRAZ UNIVERSITY OF TECHNOLOGY, SHIRAZ, IRAN

ASSOCIATE PROFESSOR OF MECHANICAL ENGINEERING

MORTEZA DERAHAKI, FACULTY OF MECHANICAL & AEROSPACE ENGINEERING, SHIRAZ UNIVERSITY OF TECHNOLOGY, SHIRAZ, IRAN

FACULTY OF MECHANICAL & AEROSPACE ENGINEERING

NAVID BAVI, MECHANICAL ENGINEERING DEPARTMENT, FACULTY OF ENGINEERING, SHAHID CHAMRAN UNIVERSITY, AHVAZ, IRAN CURRENT ADDRESS: MECHANOSENSORY BIO-PHYSICS LABORATORY, VICTOR CHANG CARDIAC RESEARCH INSTITUTE, SYDNEY, NEW SOUTH WALES 2010, AUSTRALIA

MECHANICAL ENGINEERING DEPARTMENT, FACULTY OF ENGINEERING

AND, MECHANOSENSORY BIOPHYSICS LABORATORY, VICTOR CHANG CARDIAC RESEARCH INSTITUTE, SYDNEY

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Published

2015-05-02

Issue

Vol 12, No 10 (2015)

Section

Articles

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