Review on nonlocal continuum mechanics: physics, material applicability, and mathematics
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 …
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
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 …
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 …
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 …
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 …
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
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 …
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 …
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 …
mechanical behaviour. The extended piezomagnetic elasticity theory incorporating the strain …
Cosserat micropolar elasticity: classical Eringen vs. dislocation form
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 …
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
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 …
dimensional linear and isotropic elastic bodies governed by the couple stress theory. This …