Stress-driven two-phase integral elasticity for Timoshenko curved beams

In this research, the size-dependent static behaviour of elastic curved stubby beams is investigated by Timoshenko kinematics. Stress-driven two-phase integral elasticity is adopted to model size effects which soften or stiffen classical local responses. The corresponding governing equations of nonlocal elasticity are established and discussed, non-classical boundary conditions are detected and an effective coordinate-free solution procedure is proposed. The presented mixture approach is elucidated by solving simple curved small-scale beams of current interest in Nanotechnology. The contributed results could be useful for design and optimization of modern sensors and actuators.

Automated summary

This research investigates the size-dependent static behavior of elastic curved stubby beams using Timoshenko kinematics and stress-driven two-phase integral elasticity. The corresponding governing equations of nonlocal elasticity are established, non-classical boundary conditions are detected, and an effective coordinate-free solution procedure is proposed. The presented mixture approach is elucidated by solving simple curved small-scale beams, contributing to the design and optimization of modern sensors and actuators.