Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization
We rigorously determine the scale-independent short range elastic parameters in the
relaxed micromorphic generalized continuum model for a given periodic microstructure. This …
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 …
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 …
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
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 …
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
One approach for the simulation of metamaterials is to extend an associated continuum
theory concerning its kinematic equations, and the relaxed micromorphic 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
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 …
The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters
We consider the classical Mindlin–Eringen linear micromorphic model with a new strictly
weaker set of displacement boundary conditions. The new consistent coupling condition …
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
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 …
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 …
mechanical behaviour. The extended piezomagnetic elasticity theory incorporating the strain …