Review on nonlocal continuum mechanics: physics, material applicability, and mathematics

M Shaat, E Ghavanloo, SA Fazelzadeh - Mechanics of Materials, 2020 - Elsevier
The classical continuum mechanics assumes that a material is a composition of an infinite
number of particles each of which is a point that can only move and interact with its nearest …

[HTML][HTML] On the mechanics of FG nanobeams: a review with numerical analysis

AS Sayyad, L Hadji, A Tounsi - Forces in Mechanics, 2023 - Elsevier
Since the classical continuum theories are insufficient to account the small size effects of
nanobeams, the nonlocal continuum theories such as Eringen's nonlocal elasticity theory …

[图书][B] Compendium on gradient materials

A Bertram - 2023 - Springer
Although already suggested in the middle of the 19th century, have material models that
include higher gradients of the kinematical variables become a blossoming field of research …

Vibration analysis of scale-dependent thin shallow microshells with arbitrary planform and boundary conditions

AM Dehrouyeh-Semnani, H Mostafaei - International Journal of Engineering …, 2021 - Elsevier
The current article presents a thorough investigation into the natural frequencies and mode
shapes of thin doubly curved shallow microshells by taking into account the influence of …

On the strain gradient elasticity theory for isotropic materials

G Fu, S Zhou, L Qi - International Journal of Engineering Science, 2020 - Elsevier
Classical elasticity mechanics fails to explain size-dependent phenomenon, the strain
gradient elasticity theories including the couple stress theory, the simplified strain gradient …

Green's functions for the isotropic planar relaxed micromorphic model—Concentrated force and concentrated couple

P Gourgiotis, G Rizzi, P Lewintan, D Bernardini… - International Journal of …, 2024 - Elsevier
We derive the Green's functions (concentrated force and couple in an infinite space) for the
isotropic planar relaxed micromorphic model. Since the relaxed micromorphic model …

Penalty C0 8-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method

HP Wu, Y Shang, S Cen, CF Li - Engineering Analysis with Boundary …, 2023 - Elsevier
In this paper, the penalty unsymmetric finite element framework for the consistent couple
stress theory is derived from the virtual work principle. The C 1 continuity requirement is …

On the magneto-mechanical response of piezomagnetic microbeam with size effects

G Fu, Z Zhang, C Dong, Y Sun, J Wang, H Zheng - Thin-Walled Structures, 2023 - Elsevier
Classical piezomagnetic elasticity theory fails to explain the size-dependent magneto-
mechanical behaviour. The extended piezomagnetic elasticity theory incorporating the strain …

Cosserat micropolar elasticity: classical Eringen vs. dislocation form

ID Ghiba, G Rizzi, A Madeo, P Neff - Journal of Mechanics of Materials and …, 2023 - msp.org
We give a comparative presentation of the linear isotropic Cosserat elastic model from two
perspectives: the classical Mindlin–Eringen–Nowacki description in terms of a microrotation …

[HTML][HTML] An isogeometric boundary element formulation for stress concentration problems in couple stress elasticity

G Hattori, J Trevelyan, PA Gourgiotis - Computer Methods in Applied …, 2023 - Elsevier
An isogeometric boundary element method (IGABEM) is developed for the analysis of two-
dimensional linear and isotropic elastic bodies governed by the couple stress theory. This …