Zhifeng Nie

TL;DR: In this article, the dynamic problems of Bernoulli-Euler beams are solved analytically on the basis of modified couple stress theory and Hamilton's principle, and the difference between the natural frequencies predicted by the newly established model and classical beam model is very significant when the ratio of characteristic sizes to internal material length scale parameter is approximately equal to one, but is diminishing with the increase of the ratio.

TL;DR: In this paper, the static and dynamic problems of Bernoulli-Euler beams are solved analytically on the basis of strain gradient elasticity theory due to Lam et al.

TL;DR: Considering the fact that non-Sibsonian interpolation in natural neighbor Galerkin method (NNGM) is simpler and more efficient than Sibson interpolation of natural element method (NEM), in this paper NNGM is introduced into electromagnetic field analysis, and two typical electrostatic 2D examples are analyzed.

TL;DR: In this paper, the displacement-based Galerkin approach is used to solve boundary value problems of the couple-stress elasticity to model the size dependent behaviour of materials, and the calculation of the global stiffness matrix is performed using gradient smoothing technique combined with the non-Sibsonian partition of unity approximation scheme.