This study presents a fractional-order continuum mechanics approach that allows combining selected characteristics of nonlocal elasticity, typical classical integral and gradient formulations, under single frame-invariant framework. The resulting generalized theory is capable capturing both stiffening softening effects it not subject to the inconsistencies often observed external loads boundary...

In this article, eigenfrequencies of nano-beams under axial loads are assessed by making recourse to the well-posed stress-driven nonlocal model (SDM) and strain-driven two-phase local/nonlocal formulation (NstrainG) elasticity Bernoulli-Euler kinematics. The developed methodology is applicable a wide variety nano-engineered materials, such as carbon nanotubes, modern small-scale beam-like devi...

We present a general finite deformation higher-order gradient elasticity theory. The governing equations of the solid along with boundary conditions various orders are derived from variational principle using integration by parts on surface. objectivity energy functional is achieved carefully selecting invariants under rigid-body transformation. third-order theory includes more than 10.000 mate...