Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization

P Neff, B Eidel, MV d'Agostino, A Madeo - Journal of Elasticity, 2020 - Springer
We rigorously determine the scale-independent short range elastic parameters in the
relaxed micromorphic generalized continuum model for a given periodic microstructure. This …

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 …

Exact solutions to the Navier–Stokes equations with couple stresses

ES Baranovskii, NV Burmasheva, EY Prosviryakov - Symmetry, 2021 - mdpi.com
This article discusses the possibility of using the Lin–Sidorov–Aristov class of exact solutions
and its modifications to describe the flows of a fluid with microstructure (with couple …

[HTML][HTML] Transparent anisotropy for the relaxed micromorphic model: macroscopic consistency conditions and long wave length asymptotics

G Barbagallo, A Madeo, MV d'Agostino, R Abreu… - International Journal of …, 2017 - Elsevier
In this paper, we study the anisotropy classes of the fourth order elastic tensors of the
relaxed micromorphic model, also introducing their second order counterpart by using a …

A hybrid finite element formulation for a relaxed micromorphic continuum model of antiplane shear

A Sky, M Neunteufel, I Münch, J Schöberl… - Computational …, 2021 - Springer
One approach for the simulation of metamaterials is to extend an associated continuum
theory concerning its kinematic equations, and the relaxed micromorphic continuum …

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 …

The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters

MV d'Agostino, G Rizzi, H Khan, P Lewintan… - Continuum Mechanics …, 2022 - Springer
We consider the classical Mindlin–Eringen linear micromorphic model with a new strictly
weaker set of displacement boundary conditions. The new consistent coupling condition …

Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua

G Rizzi, G Hütter, A Madeo, P Neff - Continuum Mechanics and …, 2021 - Springer
We consider the cylindrical bending problem for an infinite plate as modeled with a family of
generalized continuum models, including the micromorphic approach. The models allow to …

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 …