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

TL;DR

This paper investigates the size-dependent static behavior of elastic curved beams using a stress-driven two-phase integral elasticity model, providing a new approach for analyzing nanotechnology structures with potential applications in sensors and actuators.

Contribution

It introduces a novel stress-driven two-phase integral elasticity model for curved beams, including governing equations, boundary conditions, and a coordinate-free solution method.

Findings

Model captures size effects in curved beams.

Solution applicable to nanotechnology structures.

Results aid design of sensors and actuators.

Abstract

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.