Non-local multi-fields coupling response of a piezoelectric semiconductor nanofiber under shear force

Based on the nonlocal piezoelectric semiconductor theory, the transient multi-fields coupling response of a nanosized piezoelectric semiconductor composite fiber is studied. The one-dimensional phenomenological theory of piezoelectric semiconductors is used to derive the coupling constitutive relation. Combining nonlocal piezoelectric semiconductor theory and coupling constitutive relation, the size-dependent governing equations for bending, the charge equation of electrostatics and the conservation of charge for electrons are obtained, and the multi-fields coupling response of the nanofiber under shear force is solved. The bending vibration, the electric potential, and the concentration of electrons along the nanofiber with different nonlocal effects are analyzed. It is found that the change of electric potential and concentration from positive and negative in the nanofiber can be used to control the performance of electronic devices.