A Nonlocal Elasticity Approach for the In-Plane Static Analysis of Nanoarches

Abstract

Eringen's nonlocal elasticity theory is incorporated into classical beam model considering the effects of axial extension and the shear deformation to capture unique static behavior of the nanobeams under continuum mechanics theory. The governing differential equations are obtained for curved beams and solved exactly by using the initial value method. Circular uniform beam with concentrated loads are considered. The effects of shear deformation, axial extension, geometric parameters and small scale parameter on the displacements and stress resultants are investigated.