“Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal

Rosi, Giuseppe; Placidi, Luca; Dell’Isola, Francesco

doi:10.1007/s00033-017-0795-7

Cited by 16 publications

(12 citation statements)

References 88 publications

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“…Surely, the interaction between the microparticles in such materials will be more complicated than the dust type of interaction that was assumed in our present work. Nevertheless, the orientational transitions under the action of electro-magnetic fields are similar to ours, as can be seen in a recent publication, where such modeling was attempted numerically [29]. If such coupled problems of nematic crystals are studied, it will also become necessary to reconsider the balance of internal energy (1.4) to account for effects of electro-magnetic dissipation (Joule heating).…”

Section: Discussionsupporting

confidence: 72%

Modeling of orientational polarization within the framework of extended micropolar theory

Vilchevskaya

Müller

2021

Continuum Mech. Thermodyn.

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In this paper the process of polarization of transversally polarizable matter is investigated based on concepts from micropolar theory. The process is modeled as a structural change of a dielectric material. On the microscale it is assumed that it consists of rigid dipoles subjected to an external electric field, which leads to a certain degree of ordering. The ordering is limited, because it is counteracted by thermal motion, which favors stochastic orientation of the dipoles. An extended balance equation for the microinertia tensor is used to model these effects. This balance contains a production term. The constitutive equations for this term are split into two parts, one , which accounts for the orienting effect of the applied external electric field, and another one, which is used to represent chaotic thermal motion. Two relaxation times are used to characterize the impact of each term on the temporal development. In addition homogenization techniques are applied in order to determine the final state of polarization. The traditional homogenization is based on calculating the average effective length of polarized dipoles. In a non-traditional approach the inertia tensor of the rigid rods is homogenized. Both methods lead to similar results. The final states of polarization are then compared with the transient simulation. By doing so it becomes possible to link the relaxation times to the finally observed state of order, which in terms of the finally obtained polarization is a measurable quantity.

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Section: Discussionsupporting

confidence: 72%

Modeling of orientational polarization within the framework of extended micropolar theory

Vilchevskaya

Müller

2021

Continuum Mech. Thermodyn.

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“…Tymoshenko's equations and their solutions were studied in a number of papers (see [1,5,6] and others).Note that, in Nematic Liquid Crystals (NLC), it is possible to impose electric fields and consequently the nematic orientation. A simple linearization procedure proves that in this way we can electrically vary the acoustic properties of the solid fluid mixture studied in [7]. Therefore, we expect that the methods develop in the present paper may allow a semi-analytical study of the tangent evolution operator for solid-fluid ways in NLC.In [8], the propagation at discontinuity surfaces in second gradient 3D continua.…”

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confidence: 82%

On Determination of Wave Velocities through the Eigenvalues of Material Objects

Nikabadze

Lurie

Matevossian

et al. 2019

MCA

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The statement of the eigenvalue problem for a tensor–block matrix of any order and of anyeven rank is formulated. It is known that the eigenvalues of the tensor and the tensor–block matrixare invariant quantities. Therefore, in this work, our goal is to find the expression for the velocities ofwave propagation of some medias through the eigenvalues of the material objects. In particular, weconsider the classical and micropolar materials with the different anisotropy symbols and for themwe determine the expressions for the velocities of wave propagation through the eigenvalues of thematerial objects.

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“…Governing equations for the actual composite are obtained and the cases of both harmonic and transient temperature pulses were considered in his work. Rosi et al [54] considered an interesting application of the mixture theory by proposing a mathematical model involving a deformable porous media saturated by compressible nematic liquid crystal under slowly varying electric fields and assumed that the system follows a Biot-type model.…”

Section: Further Applications Of Mixture Theorymentioning

confidence: 99%

A Review of Mixture Theory for Deformable Porous Media and Applications

et al. 2017

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Abstract:Mixture theory provides a continuum framework to model a multi-phase system. The basic assumption is, at any instant of time all phases are present at every material point and momentum and mass balance equations are postulated. This paper reviews the recent developments in mixture theory and focuses on the applications of the theory in particular areas of biomechanics, composite manufacturing and infiltration into deformable porous materials. The complexity based upon different permeability and stress functions is also addressed. The review covers the literature presented in the past fifty years and summarizes applications of mixture theory in specific areas of interest, for the sake of brevity, only necessary details are provided rather than complete modeling and simulation.

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“Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal

Abstract: 'Isola. "Fast" and "slow" pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal.

Cited by 16 publications

References 88 publications

Modeling of orientational polarization within the framework of extended micropolar theory

Modeling of orientational polarization within the framework of extended micropolar theory

On Determination of Wave Velocities through the Eigenvalues of Material Objects

A Review of Mixture Theory for Deformable Porous Media and Applications

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