Calibration of the length scale parameter for the stress-driven nonlocal elasticity model from quasi-static and dynamic experiments

The available experimental results in the literature on the quasi-static bending and free flexural vibration of microcantilevers and nanocantilevers are used to calibrate the length scale parameter of the stress-driven nonlocal elasticity model. The Bernoulli-Euler theory is used to define the kinematic field. The closed form solution derived for the bending problem is used to calibrate the length scale parameter by fitting the load-displacement curves to the experimental results. For the vibration problem, the calibration is done using the least-squares curve fitting method for the natural frequencies. The stress-driven nonlocal theory can adequately capture the size-dependent experimental results.

Automated summary

This study utilizes experimental results from the literature to calibrate the length scale parameter of the stress-driven nonlocal elasticity model, and successfully captures the size-dependent experimental results by fitting the load-displacement curves and natural frequencies.