Stresses and voltage developed in a nonhomogeneous piezoelectric bar due to torsion

Abstract

Stresses and electric voltage generated in a nonhomogeneous piezoelectric bar acted upon by a torque at one end, the other end being fixed, are considered here. The solution is presented in terms of a series of modified Bessel functions, Macdonald function and Lammel function (in modified form). Results for the homogeneous case are also discussed as a particular case. Numerical results show wide differences in the voltages and the stresses of nonhomogeneous and homogeneous bars.