Surface and thermal effects of the flexural wave propagation of piezoelectric functionally graded nanobeam using nonlocal elasticity

This study investigates the propagation peculiarities of the flexural wave of piezoelectric functionally graded nanobeam with surface and thermal effects. The equation of the flexural wave of the piezoelectric functionally graded nanobeam was expressed using nonlocal elastic theory because of the thermal and surface effects. The phase and group velocities were derived. The dispersion relation was analyzed using different wave numbers and temperatures and scale coefficient. The dispersion degree was weakened by scale coefficient and temperature and an increase in wave numbers. Changing the scale coefficient and temperatures are two of the main approaches in investigating the propagation characteristics of piezoelectric functionally graded nanobeam with surface effects and identifying new characteristics were found.