[HTML][HTML] Homogenisation of periodic lattices with lumped and distributed mass: Beam models, continualisation and stabilisation

H Askes, M Lombardo, DCD Nguyen - International Journal of Solids and …, 2024 - Elsevier
Periodic lattice models of beams are homogenised to obtain equivalent continuum models.
Various modelling aspects for the discrete model are discussed, such as the selection of a …

Reduced linear constrained elastic and viscoelastic homogeneous Cosserat media as acoustic metamaterials

EF Grekova, AV Porubov, F dell'Isola - Symmetry, 2020 - mdpi.com
We consider the reduced constrained linear Cosserat continuum, a particular type of a
Cosserat medium, for three different material behaviors or symmetries: the isotropic elastic …

Auxetic Properties of Chiral Hexagonal Cosserat Lattices Composed of Finite‐Sized Particles

AA Vasiliev, IS Pavlov - physica status solidi (b), 2020 - Wiley Online Library
This article is devoted to the study of auxetic properties of Cosserat hexagonal lattices
composed of finite‐sized particles with complex connections. The description of complex …

Micropolar modelling of rotational waves in seismology

R Abreu, J Kamm, AS Reiß - Geophysical Journal International, 2017 - academic.oup.com
In this contribution we study elastic wave propagation via the introduction of the micropolar
theory. As a generalization of a classical linear elastic medium, a micropolar medium allows …

Understanding micropolar theory in the Earth sciences II: the seismic moment tensor

R Abreu, S Durand - Pure and Applied Geophysics, 2021 - Springer
Seismic events produced by block rotations about vertical axis occur in many geodynamic
contexts. In this study, we show that these rotations can be accounted for using the proper …

Effect of observed micropolar motions on wave propagation in deep Earth minerals

R Abreu, C Thomas, S Durand - Physics of the Earth and Planetary Interiors, 2018 - Elsevier
We provide a method to compute the Cosserat couple modulus for a bridgmanite (MgSiO 3
silicate perovskite) solid from frequency gaps observed in Raman experiments. To this aim …

Reduced enhanced elastic continua as acoustic metamaterials

EF Grekova - Dynamical processes in generalized continua and …, 2019 - Springer
We consider a linear complex elastic material whose body point motion is described by two
vectorial generalised co-ordinates of any dimension. We suppose that the medium obeys …

A mathematical model for a buried source in the layered reduced micropolar half-space

M Atif, STG Raghukanth, SR Manam - Pure and Applied Geophysics, 2024 - Springer
The dependency of rotations on translations in the classical elastic theory and the
mismatched experimental rotations to the theoretical one leads to the exploration of the …

О соотношении скоростей сдвиговых волн и поверхностных волн Рэлея для материалов, описываемых уравнениями механики обобщенных континуумов

АМ Антонов - Проблемы прочности и пластичности, 2024 - ppp.mech.unn.ru
Аннотация Изучается вопрос о том, как две известные модели обобщенных
континуумов описывают поверхностную волну Рэлея, распространяющуюся вдоль …

Ultrasonic probing of cohesive granular media at very low consolidation

FR Botello, A Castellanos, V Tournat - Ultrasonics, 2016 - Elsevier
In this work, we study sound propagation in different granular media made of magnetite
particles, steel particles, and glass beads consolidated under their own weight. We used two …