Complete guided wave in piezoelectric nanoplates: A nonlocal stress expansion polynomial method

Taking the size-dependent and piezoelectric effect into account, the complete guided waves in nonlocal piezoelectric nanoplates are investigated. The Legendre polynomial method based on stress and electric displacement expansion is proposed to obtain the complete dispersion curves in the complex domain. The nonlocal and piezoelectric effects on propagative and evanescent waves are discussed. It is found that the nonlocal effect improves the phase velocity of complex Lamb wave, while reduces the attenuation and frequency bandwidth of complex Lamb wave. The stiffness-softening effect of the nonlocal structure reduces the phase velocity, cut-off frequency and escape frequency of propagative waves, while the stiffness-hardening effect of the piezoelectric structure increases the phase velocity, cut-off frequency and escape frequency of propagative waves. In addition, the nonlocal effect increases the piezoelectric effect, while the piezoelectric effect weakens the nonlocal effect on phase velocity.

Automated summary

This paper investigates the complete guided waves in nonlocal piezoelectric nanoplates, taking into account the size-dependent and piezoelectric effect. The Legendre polynomial method based on stress and electric displacement expansion is proposed to obtain the complete dispersion curves in the complex domain, and the effects of nonlocality and piezoelectricity on propagative and evanescent waves are discussed.