Generalized micropolar continualization of 1D beam lattices

A Bacigalupo, L Gambarotta - International Journal of Mechanical Sciences, 2019 - Elsevier
The enhanced continualization approach proposed in this paper is aimed to overcome some
drawbacks observed in the homogenization of beam lattices. To this end an enhanced …

[HTML][HTML] Wave propagation in non-centrosymmetric beam-lattices with lumped masses: discrete and micropolar modeling

A Bacigalupo, L Gambarotta - International Journal of Solids and Structures, 2017 - Elsevier
The in-plane acoustic behavior of non-centrosymmetric lattices having nodes endowed with
mass and rotational inertia and connected by massless ligaments with asymmetric elastic …

Strain induced low frequency broad bandgap tuning of the multiple re-entrant star-shaped honeycomb with negative Poisson's ratio

F Ren, H Liu - Journal of Vibration Engineering & Technologies, 2022 - Springer
Purpose To date, endowing the honeycomb metamaterial with tunable low frequency broad
bandgaps is still a challenging task. This work provides a new strategy for the design of …

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 …

Dispersion properties of the phononic crystal consisting of ellipse-shaped particles

IS Pavlov, AA Vasiliev, AV Porubov - Journal of Sound and Vibration, 2016 - Elsevier
A two-dimensional model is considered in the form of a phononic crystal having a
rectangular lattice with elastically interacting ellipse-shaped particles possessing two …

Dispersion properties of a closed-packed lattice consisting of round particles

VI Erofeev, IS Pavlov, AV Porubov… - Generalized Models and …, 2018 - Springer
A two-dimensional discrete model for a hexagonal (closed-packed) lattice with elastically
interacting round particles possessing two translational and one rotational degrees of …

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 …

Structural and mathematical modeling of Cosserat lattices composed of particles of finite size and with complex connections

AA Vasiliev, IS Pavlov - IOP Conference Series: Materials …, 2018 - iopscience.iop.org
This article provides a brief review of the work and discussion of the problems related to the
discrete structural and generalized continuum models of the Cosserat lattices consisting of …

Multi-scale dispersive gradient elasticity model with rotation for the particulate composite

A Nouri, V Toufigh - Composite Structures, 2022 - Elsevier
Research on the characteristics of composites material has received enormous interest in
recent years. The multi-scale nature of composite material leads to employing advanced …

Estimating the Velocity of Rotational Waves in the Simple Cubic Lattice of a Fullerite Crystal

IS Pavlov, VI Erofeev, AV Muravieva… - Bulletin of the Russian …, 2021 - Springer
A three-dimensional mathematical model of the simple cubic lattice of a fullerite crystal is
elaborated via structural modeling. Analytical dependences are obtained for the velocities of …