Postbuckling of piezoelectric nanobeams with surface effects

International Journal of Applied Mechanics

Volumn 4, Issue 2, 2012, Pages

  Li, Yuhang ^a   Chen, Chi ^b   Fang, Bo ^a   Zhang, Jiazhong ^a   Song, Jizhou ^b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b University of Miami   (United States)

Author keywords

piezoelectric nanobeam; postbuckling; Surface effect

Indexed keywords

CRITICAL BUCKLING VOLTAGE; ENERGY METHOD; GEOMETRIC PARAMETER; PIEZOELECTRIC NANOBEAM; POSTBUCKLING; SURFACE EFFECT; SURFACE ELASTICITIES; SURFACE MATERIALS; SURFACE STRESS;

BEAMS AND GIRDERS; CRYSTALLOGRAPHY; ELASTICITY; ELECTRIC FIELDS; NANOWIRES; PIEZOELECTRIC DEVICES; SURFACE PROPERTIES;

PIEZOELECTRICITY;

EID: 84863924018     PISSN: 17588251     EISSN: 1758826X     Source Type: Journal    
DOI: 10.1142/S1758825112500184     Document Type: Article

References (31)

1. Agrawal, R., Peng, B., Gdoutos, E. E. and Espinosa, H. D. [2008] "Elasticity size effects in ZnO nanowires - A combined experimental- computational approach," Nano Letters 8, 3688-3674.
2. Chen, C. Q., Shi, Y., Zhang, Y. S., Zhu, J. and Yan, Y. J. [2006] "Size dependence of Young's modulus in ZnO nanowires," Physical Review Letters 96, 063110.
3. Chen, T. Y., Chiu, M. S. and Weng, C. N. [2006] "Derivation of the generalized Young- Laplace equation of curved interfaces in nanosclaed solids," Journal of Applied Physics 100, 074308.
4. Cui, H. L. and Shen, H. S. [2011] "Modeling and simulation of buckling and postbuckling of plant strems under combined loading conditions," International Journal of Applied Mechanics 3, 119-130.
5. Fei, P., Yeh, P. H., Zhou, J., Xu, S., Gao, Y. F., Song, J. H., Gu, Y. D., Huang, Y. Y. and Wang, Z. L. [2009] "Piezoelectric potential gated field effect transistor based on a few standing ZnO wire," Nano Letters 9, 9435-9439.
6. Gurtin, M. E., Markenscoff, X. and Thurston, R. N. [1976] "Effect of surface stress on the natural frequency of thin crystals," Applied Physics Letters 29, 529.
7. Gurtin,M. E.,Weissmuller, J. and Larche, F. [1998] "A general theory of curved deformable interfaces in solids at equilibrium," Philosophical Magazine A 78, 1093.
8. He, J. H., Hsin, C. L., Liu, J., Chen, L. J. and Wang, Z. L. [2007] "Piezoelectric gated diode of a single ZnO nanowire," Advanced Materials 19, 781-784.
9. Huang, G. Y. and Yu, S. W. [2006] "Effect of surface piezoelectricity on the electromechanical behavior of a piezoelectric ring," Physica Status Solidi b 243, R22-24.
10. Kang, M. K. and Huang, R. [2011] "Swelling-induced instability of substrate-attached hydrogel lines," International Journal of Applied Mechanics 3, 219-233.
11. Li, Y., Fang, B., Zhang, J. and Song, J. [2011a] "Surface effects on the wrinkling of piezoelectric films on compliant substrate," Journal of Applied Physics 110, 114303.
12. Li, Y., Song, J., Fang, B. and Zhang, J. [2011b] "Surface effects on the postbuckling of nanowires," Journal of Physics D: Applied Physics 44, 425304.
13. Li, Y., Fang, B., Zhang, J. and Song, J. [2012] "Surface effects on the wrinkles in a stiff thin film bonded to a compliant substrate," Thin Solid Films 520, 2077-2079.
14. Liu, Z. S., Swaddiwudhipong, S., Cui, F. S., Hong, W., Suo, Z. and Zhang, Y. W. [2011] "Analytical solutions of polymeric gel structures under buckling and wrinkle," International Journal of Applied Mechanics 3, 235-257.
15. Majdoub, M. S., Sharma, P. and Cagin, T. [2008] "Enhanced size-dependent piezoelectricity and elasticity in nanostructures due to the flexoelectric effect," Physical Review B 77, 125424.
16. Mitchell, J. A. and Reddy, J. N. [1995] "A refined hybrid plate theory for composite laminates with piezoelectric laminae," International Journal of Solids and Structures 32, 2345-2367.
17. Peng, X. H., Alizadeh, A., Kumar, K. and Nayak, S. K. [2009] "Ab-initio study of size and strain effects on the electronic properties of Si nanowires," International Journal of Applied Mechanics 1, 484-499.
18. Stan, G., Ciobanu, C. V., Parthangal, P. M. and Cook, R. F. [2007] "Diameter-dependent radial and tangential elastic moduli of ZnO nanowires," Nano Letters 7, 3691-3697.
19. Tanner, S. M., Gray, J. M., Rogers, C. T., Bertness, K. A. and Stanford, N. A. [2007] "High- Q GaN nanowire resonators and oscillators," Applied Physics Letters 91, 203117.
20. Timoshenko, S. P. and Gere, J. M. [1961] Theory of Elastic Stability (McGraw-Hill, New York).
21. Wang, C. M., Xiang, Y. and Kitipornchai, S. [2009] "Postbuckling of nano rods/tubes based on nonlocal beam theory," International Journal of Applied Mechanics 1, 259-266.
22. Wang, G. F. and Feng, X. Q. [2010] "Effect of surface stresses on the vibration and buckling of piezoelectric nanowires," A Letters Journal Exploring the Frontiers of Physics 91, 56007.
23. Wang, X. D., Zhou, J., Song, J. H., Liu, J., Xu, N. S. and Wang, Z. L. [2006] "Piezoelectric field effect transistor and nanoforce sensor based on a single ZnO nanowire," Nano Letters 6, 2768-2672.
24. Wang, Z. L. and Song, J. S. [2006] "Piezoelectric nanogenerators based on zinc oxide nanowire arrays," Science 312, 242-246.
25. Xiang, H. J., Yang, J. L., Hou, J. G. and Zhu, Q. S. [2006] "Piezoelectricity in ZnO nanowires: A first-principles study," Applied Physics Letters 89, 223111.
26. Yan, Z. and Jiang, L. [2011a] "Surface effects on the electromechanical coupling and bending behaviors of piezoelectric nanowires,"Journal of Physics D: Applied Physics 44, 075404.
27. Yan, Z. and Jiang, L. [2011b] "The vibration and buckling behavior of piezoelectric nanobeams with surface effects," Nanotechnology 22, 245703.
28. Zhang, Y. H., Hong, J. W., Liu, B. and Fang, D. N. [2009] "Molecular dynamics investigations on the size-dependent ferroelectric behavior of BaTiO3 nanowires," Nanotechnology 20, 405703.
29. Zhang, Y. H., Hong, J. W., Liu, B. and Fang, D. N. [2010a] "Stain effect on ferroelectric behaviors of BaTiO3 nanowires: A molecular dynamics study," Nanotechnology 21, 015701.
30. Zhang, Y. H., Hong, J. W., Liu, B. and Fang, D. N. [2010b] "A surface-layer model of ferroelectric nanowire," Journal of Applied Physics 108, 124109.
31. Zhao, M. H., Wang, Z. L. and Mao, S. X. [2004] "Piezoelectric characterization of individual zinc oxide nanobelt probed by piezoresponse force microscope," Nano Letters 4, 587-590.