Vibration analysis of multilayered orthotropic nanoplates using nonlocal elasticity theory

Journal of the Institution of Engineers (India), Part MM: Metallurgy and Material Science Division

Volumn 90, Issue APRIL, 2009, Pages 16-23

  Pradhan, S C ^a   Phadikar, J K ^a   Karthik, G ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Graphene sheets; Nonlocal elasticity; Polymer matrix; Principle of virtual work; Vibration

Indexed keywords

GOVERNING EQUATIONS; GRAPHENE SHEETS; HAMILTON'S PRINCIPLE; MULTI-LAYERED; NANO-PLATE; NANOPLATES; NANOSHELLS; NON-LOCAL EFFECT; NONLOCAL ELASTICITY; NONLOCAL THEORY; ORTHOTOPIC; PRINCIPLE OF VIRTUAL WORK; SIMPLY SUPPORTED; SMALL SCALE; VIBRATION;

CONTINUUM MECHANICS; ELASTICITY; GRAPHENE; NANOSTRUCTURES; POLYMER MATRIX;

VIBRATION ANALYSIS;

EID: 77955515344     PISSN: 02574411     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. R F Gibson, O E Ayorinde and Yuan-Feng Wen. 'Vibration of Carbon Nanotubes and there Ccomposites: a Review'. Composites Science and Technology, vol67, 2007, pp 1-28.
2. P Ball. 'Roll up for the Revolution'. Nature (London), vol 414 , 2001, pp 142-144.
3. R H Baughman, AAZakhidov, WA de Heer. 'Carbon Nanotubes the Route Toward Applications'. Science, vol 297, 2002, pp 787-792.
4. S Iijima. 'Helical Microtubules of Graphitic Carbon'. Nature, vol 354, 1991, pp 56-58.
5. H W Kroto, J R Heath. S C O'Brien, R F Curl and R E Smalley. 'C60: Buckminsterfullerene'. Nature, vol 318, 1985, pp 162-163.
6. X Y Kong, Y Ding, R Yang,and Z L Wang. 'Single Crystal Nanorings Formed by Epitaxial SelfCoiling of Polar Nanobelts'. Science, vol 303 no 5662,2004, pp 1348-1351.
7. E T Thostenson, Z F Ren and T W Chou. 'Advances in the Science and Technology of Carbon Nanotubes and their Composites: a Review'. Composites Science and Technology, vol61, pp 1899-1912.
8. B. Q Wang, S T Quek and V K Varadan. Torsional Buckling of Carbon Nanotubes'. Physics Letters A, vol 367, 2007, pp 135-139.
9. Yongqiang Zhang, Guirong Liu, Xu Han. 'Transverse Vibrations of Doublewalled Carbon Nanotubes under Compressive Axial Load'. Physics Letters A, vol 340, 2005, pp 258-266. (Pubitemid 40725537)
10. J K Phadikarand S C Pradhan.'Nonlinear Finite Element Model of Single Walled Carbon Nanotubes'. Journal of the Institution of Engineers (India), Metallurgy and Materials Engineering Division, vol 89 (Part 2), 2008, pp 3-8.
11. Q Wang and V K Vardan. 'Wave Characteristics of Carbon Nanotubes'. International Journal of Solids and Structures, vol 43, 2005, pp 254-265
12. K Behfar and R Naghdabadi. 'Nanoscale vibrational Analysis of a Multi-layered Graphene Sheet Embedded in an Elastic Medium'. Composites Science and Technology, vol 65, 2005, pp 115964.
13. K Behfar, P Seifi, R Naghdabadi and J Ghanbari. 'An Analytical Approach to Determination of Bending Modulus of a Multilayered Graphene Sheet'. Thin Solid Films, vol 496 (Issue 2), 2006, pp 475-480.
14. K M Liew, X Q He and S Kitipornchai. 'Predicting Nanovibration of Multilayered Graphene Sheets Embedded in an Elastic Matrix'. Acta Materialia, vol 54, 2006, pp 4229-4236
15. K M Liew, X Q He and S Kitipornchai. 'Continuum Model for the Vibration of Multilayered Graphene Sheets'. Physical Review 8, vol 72, 2005, pp 075443.
16. A C Eringen. 'Nonlocal Continuum Field Theories'. Springer Verlag (NewYork), 2002.
17. J Peddieson, R Buchanan and R P McNitt. 'Application of Nonlocal Continuum Models to Nanotechnology. International Journal of Engineering Science, vol 41, pp 305.
18. Q Wang and K M .Liew. 'Application of Nonlocal Continuum Mechanics to Static Analysis of Micro-and Nano-structures'. Physics Letters A, vol 363, 2007, pp 236-242.
19. S Adali. 'Variational Principles for Multi-walled Carbon Nanotubes Undergoing Buckling based on Nonlocal Elasticity Theory'. Physics Letters A, vol372, 2008, pp 5701-5705.
20. P Lu, H P Lee, C Lu and P Q Zhang. 'Application of Nonlocal Beam Models for Carbon Nanotubes'. International Journal of Solids and Structures, vol 44, 2007, pp 5289-5300.
21. Q Wang, G Y Zhou and K C Lin. 'Scale Effect on Wave Propagation of Double Walled Carbon Nanotubes'. International Journal of Solids and Structures, vol43, 2006, pp 6071-6084.
22. W H Duan and C M Wang. 'Exact Solutions for Axisymmetric Bending of Micro/nanoscale Circular Plates based on Nonlocal Plate Theory'. Nanotechnology, vol18, 2007, pp 385-704(5pp).
23. S Stankovich, et al. 'Graphene-based Composite Materials'. Nature, 2006. pp 442282-442286.
24. C D Reddy, S Rajendran and K M Liew. 'Equilibrium Configuration and Continuum Elastic Properties of Finite Sized Graphene'. Nanotechnology, vol 17, 2006, pp 864-870.
25. J N Reddy. 'Mechanics of Laminated Composite Plates, Theory and Analysis'. (Boca Raton, FL: Chemical Rubber Company), 1997
26. Q Wang and C M Wang. 'The Constitutive Relation and Small Scale Barameter of Nonlocal Continuum Methanics for Modelling Carbon Nanotubes'. Nanotechnology, vol 18, 2007, pp 075702(4pp).