Charge distribution on thin conducting nanotubes - Reduced 3-D model

International Journal for Numerical Methods in Engineering

Volumn 68, Issue 5, 2006, Pages 503-524

  Chen, Hui ^a   Mukherjee, Subrata ^a  

^a Cornell University ^*  (United States)

Author keywords

Boundary element method; Charge distribution; Conducting nanotubes

Indexed keywords

BOUNDARY ELEMENT METHOD; ELECTRIC CHARGE; ELECTRIC CHARGE MEASUREMENT; ELECTROSTATICS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING;

CHARGE DISTRIBUTION; ELECTROSTATIC PROBLEMS; THIN CONDUCTING NANOTUBES;

NANOTUBES;

BOUNDARY ELEMENT METHOD; ELECTRIC CHARGE; ELECTRIC CHARGE MEASUREMENT; ELECTROSTATICS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NANOTUBES; PROBLEM SOLVING;

EID: 33750407813     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1713     Document Type: Article

References (41)

1. Roukes ML. Nanoelectromechanical systems. Solid-State Sensor and Actuator Workshop, Hilton Head, SC, 2000.
2. Davis ZJ, Abadal G, Kuhn O, Hansen O, Grey F, Boisen A. Fabrication and characterization of nanoresonating devices for mass detection. Journal of Vacuum Science Technology B 2000; 18:612-616.
3. Boggild P, Hansen TM, Tanasa T, Grey F. Fabrication and actuation of customized nanotweezers with a 25 nm gap. Nanotechnology 2001; 12:331-335.
4. Cleland AL, Roukes ML. Fabrication of high frequency nanometer scale mechanical resonators from bulk Si crystals. Applied Physics Letters 1996; 69:2653-2655.
5. Sazonova V, Yaish Y, Üstünel H, Roundy D, Arias TA, McEuen PL. A tunable carbon nanotube electromechanical oscillator. Nature 2004; 431:284-287.
6. Mukherjee S. Boundary Element Methods in Creep and Fracture. Applied Science Publishers: London, 1982.
7. Banerjee PK. The Boundary Element Methods in Engineering. McGraw-Hill Europe: Maidenhead, Berkshire, England, 1994.
8. Chandra A, Mukherjee S. Boundary Element Methods in Manufacturing. Oxford University Press: New York, 1997.
9. Bonnet M. Boundary Integral Equation Methods for Solids and Fluids. Wiley: Chichester, U.K., 1999.
10. Mukherjee S, Mukherjee YX. Boundary Methods: Elements Contours and Nodes. Taylor and Francis, CRC Press: Bristol, Boca Raton, FL, 2005.
11. Yang TY. Finite Element Structural Analysis. Prentice-Hall: New Jersey, 1986.
12. Zienkiewicz OC, Taylor RL. The Finite Element Method, vols. 1,2 (4th edn). McGraw-Hill: Maidenhead, Berkshire, U.K., 1994.
13. Hughes TJR. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover: Mineola, NY, 2000.
14. Senturia SD, Harris RM, Johnson BP, Kim S, Nabors K, Shulman MA, White JK. A computer-aided design system for microelectromechanical systems (MEMCAD). Journal of Micro-Electro-Mechanical Systems 1992; 1:3-13.
15. Nabors K, White J. FastCap: a multi-pole accelerated 3-D capacitance extraction program. IEEE Transactions on Computer Aided Design and Integrated Circuits and Systems 1991; 10:1447-1459.
16. Gilbert JR, Legtenberg R, Senturia SD. 3D coupled electromechanics for MEMS: applications of CoSolve-EM. Proceedings of the IEEE (MEMS) 1995; 122-127.
17. Shi F, Ramesh P, Mukherjee S. Simulation methods for micro-electro-mechanical structures (MEMS) with application to a microtweezer. Computers and Structures 1995; 56:769-783.
18. Aluru NR, White J. An efficient numerical technique for electromechanical simulation of complicated microelectromechanical structures. Sensors and Actuators A 1997; 58:1-11.
19. Mukherjee S, Bao Z, Roman M, Aubry N. Nonlinear mechanics of MEMS plates with a total Lagrangian approach. Computers and Structures 2005; 83:758-768.
20. Shi F, Ramesh P, Mukherjee S. Dynamic analysis of micro-electro-mechanical systems. International Journal for Numerical Methods in Engineering 1996; 39:4119-4139.
21. De SK, Aluru NR. Full-Lagrangian schemes for dynamic analysis of electrostatic MEMS. Journal of Microelectromechanical Systems 2004; 13:737-758.
22. Tang Z, Xu Y, Li G, Aluru NR. Physical models for coupled electromechanical analysis of silicon nanoelectromechanical systems. Journal of Applied Physics 2005; 97:(114304):1-13.
23. Ke C, Espinosa HD. Numerical analysis of nanotube-based NEMS devices - part I: electrostatic charge distribution on multiwalled nanotubes. Journal of Applied Mechanics (ASME) 2005; 72:721-725.
24. Frangi A, di Gioia A. Multipole BEM for the evaluation of damping forces on MEMS. Computational Mechanics 2005; 37:24-31.
25. Harrington RF. Field Computation by Moment Methods. IEEE Press: Piscataway, NJ, 1993.
26. Bao Z, Mukherjee S. Electrostatic BEM for MEMS with thin conducting plates and shells. Engineering Analysis with Boundary Elements 2004; 28:1427-1435.
27. Bao Z, Mukherjee S. Electrostatic BEM for MEMS with thin beams. Communications in Numerical Methods in Engineering 2005; 21:297-312.
28. Chuyan SW, Liao YS, Chen JT. Computational study of the effect of finger width and aspect ratios for the electrostatic levitating force of MEMS combdrive. Journal of Microelectromechanical Systems 2005; 14:305-312.
29. Telukunta S, Mukherjee S. Fully Lagrangian modeling of MEMS with thin plates. Journal of Microelectromechanical Systems 2006, in press.
30. Mukherjee S, Telukunta S, Mukherjee YX. BEM modeling of damping forces on MEMS with thin plates. Engineering Analysis with Boundary Elements 2005; 29:1000-1007.
31. Liu YJ. Analysis of shell-like structures by the boundary element method based on 3-D elasticity: formulation and verification. International Journal for Numerical Methods in Engineering 1998; 41:541-558.
32. Mukherjee S. On boundary integral equations for cracked and thin bodies. Mathematics and Mechanics of Solids 2001; 6:47-64.
33. Liu YJ, Fan H. On the conventional BIE formulation for piezoelectric solids with defects or of thin shapes. Engineering Analysis with Boundary Elements 2001; 25:77-91.
34. Zhang JM, Tanaka M, Matsumoto T. A simplified approach for heat conduction analysis of CNT-based nano-composites. Computer Methods in Applied Mechanics and Engineering 2004; 193:5597-5609.
35. Nishimura N, Liu YJ. Thermal analysis of carbon nanotube composites using a rigid-line inclusion model by the boundary integral equation method. Computational Mechanics 2004; 35:1-10.
36. Chen JT, Chen KH, Yeih W, Shieh NC. Dual boundary element analysis for cracked bars under torsion. Engineering Computations 1998; 15:732-749.
37. Chen JT, Hong H-K. Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series. Applied Mechanics Reviews (ASME) 1999; 52:17-33.
38. Chandraseker K, Mukherjee S. Coupling of extension and twist in single-walled carbon nanotubes. Journal of Applied Mechanics (ASME) 2006, in press.
39. Hayt W, Buck J. Engineering Electromagnetics (6th edn). McGraw-Hill: New York, 2001.
40. Nishimura N. Fast multipole accelerated boundary integral equation methods. Applied Mechanics Reviews (ASME) 2002; 55:299-324.
41. Liu YJ, Nishimura N, Otani Y, Takahashi T, Chen XL, Munakata H. A fast boundary element method for the analysis of fiber-reinforced composites based on a rigid-inclusion model. Journal of Applied Mechanics (ASME) 2005; 72:115-128.