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Nonlocal Finite Element Analysis of CNTs with Timoshenko Beam Theory and Thermal Environment
Abstract In this paper, finite element formulation including nonlocal Timoshenko beam theory and thermal elasticity is carried out. For the bending, buckling and vibration analyses of carbon nanotube governing differential equations are derived. Simultaneous linear algebraic equations are solved employing developed Matlab code and structural response results are computed. Convergence study of finite element solution is conducted. Validation of developed finite element code is carried out. Based on nonlocal and thermal elasticity small scale effects and thermal effects on carbon nanotubes mechanical responses are investigated. Effects of (i) Carbon nanotubes geometrical parameters, (ii) nonlocal parameters and (iii) environmental temperature on the structural response of the carbon nanotubes are explored and reported.
Nonlocal Finite Element Analysis of CNTs with Timoshenko Beam Theory and Thermal Environment
Abstract In this paper, finite element formulation including nonlocal Timoshenko beam theory and thermal elasticity is carried out. For the bending, buckling and vibration analyses of carbon nanotube governing differential equations are derived. Simultaneous linear algebraic equations are solved employing developed Matlab code and structural response results are computed. Convergence study of finite element solution is conducted. Validation of developed finite element code is carried out. Based on nonlocal and thermal elasticity small scale effects and thermal effects on carbon nanotubes mechanical responses are investigated. Effects of (i) Carbon nanotubes geometrical parameters, (ii) nonlocal parameters and (iii) environmental temperature on the structural response of the carbon nanotubes are explored and reported.
Nonlocal Finite Element Analysis of CNTs with Timoshenko Beam Theory and Thermal Environment
Pradhan, S. C. (author) / Mandal, U. (author)
Journal of The Institution of Engineers (India): Series C ; 93 ; 331-343
2012-10-01
13 pages
Article (Journal)
Electronic Resource
English
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