Size-dependent Elasticity in Materials

TL;DR

This paper develops a size-dependent nonlinear nonlocal beam theory by integrating Eringen's nonlocal elasticity with nonlinear kinematics, providing insights into nanoscale beam behavior.

Contribution

It introduces a novel combined nonlocal and nonlinear beam model specifically for nanoscale structures, extending existing theories.

Findings

Nonlocal effects significantly influence nanoscale beam elasticity.

Nonlinearity impacts the deformation behavior at small scales.

The theory offers a framework for analyzing nanoscale beam mechanics.

Abstract

In this work, we combine the nonlocal theory of Eringen into the E-B beam bending together with nonlinear kinematics [3]. We briefly present the derivation and key equations of this nonlinearnonlocal beam theory and investigate the role of nonlinearity and nonlocality for simply supported nanoscaled beams.