Timoshenko beam model for buckling of piezoelectric nanowires with surface effects
1 Young Researchers Club, Chalous Branch, Islamic Azad University, Chalous, 46619/61367, Iran
2 School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran
3 Department of Engineering Mechanics, SV Laboratory, Xi'an Jiaotong University, Xi'an, 710049, People's Republic of China
Nanoscale Research Letters 2012, 7:201 doi:10.1186/1556-276X-7-201Published: 27 March 2012
This paper investigates the buckling behavior of piezoelectric nanowires under distributed transverse loading, within the framework of the Timoshenko beam theory, and in the presence of surface effects. Analytical relations are given for the critical force of axial buckling of nanowires by accounting for the effects of surface elasticity, residual surface tension, and transverse shear deformation. Through an example, it is shown that the critical electric potential of buckling depends on both the surface stresses and piezoelectricity. This study may be helpful in the characterization of the mechanical properties of nanowires and in the calibration of the nanowire-based force sensors.