Viscoelastic properties of inhomogeneous media with a fractal structure

Novikov, V. V.; Wojciechowski, Krzysztof W.

doi:10.1134/1.1513819

Cited by 5 publications

(9 citation statements)

References 8 publications

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“…The present analysis is performed on the basis of the fractal model of a two-component structure and is a generalization of the method of elastic properties calculations described in detail in [19][20][21]. In the modeling of chaotic structures presented there, hierarchical lattices of a random distribution of parameters are applied.…”

Section: Fractal Model Of Viscoelastic Properties Of Chaotic Structurementioning

confidence: 99%

“…(In practical calculations, the iterative procedure is finished when the properties of the lattice become independent of the index k). Two ensembles of structures were introduced in [19][20][21]. The first one is the bonded ensemble (BE), being the set of all configurations in which bonds representing the first phase connect oppo-…”

Section: Fractal Model Of Viscoelastic Properties Of Chaotic Structurementioning

confidence: 99%

“…In [19 -21] a simple averaging scheme, based on the idea of the renormalization group and the blob model, was proposed. The non-uniform composites for which this scheme, known as the fractal model [20], works will be further referred to as "fractal" composites.…”

Section: Originalmentioning

confidence: 99%

“…It can be stabilized, however, when inclusions of it are put into a stabilizing matrix composed of a phase exhibiting positive shear modulus [1 -4].) The analysis below is carried out by the method described in [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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Extreme viscoelastic properties of composites of strongly inhomogeneous structures due to negative stiffness phases

Novikov

Wojciechowski

2005

Physica Status Solidi (b)

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A fractal model of structure [V. V. Novikov et al., Phys. Rev. E 63, 036120 (2001)] is generalized and applied to study the viscoelastic properties of a two-component, strongly inhomogeneous medium of chaotic structure with one component exhibiting a negative shear modulus. It is shown that similar to the results obtained recently in frames of the Hashin -Strikman model [R. S. Lakes, Phys. Rev. Lett. 86, 2897 (2001)], the present fractal model predicts the existence of composites having effective shear and damping coefficients much higher than those of the component phases. The viscoelastic properties of the strongly inhomogeneous medium are, however, qualitatively different from the properties of the Hashin-Strikman medium.

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Section: Fractal Model Of Viscoelastic Properties Of Chaotic Structurementioning

confidence: 99%

Section: Fractal Model Of Viscoelastic Properties Of Chaotic Structurementioning

confidence: 99%

Section: Originalmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Extreme viscoelastic properties of composites of strongly inhomogeneous structures due to negative stiffness phases

Novikov

Wojciechowski

2005

Physica Status Solidi (b)

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“…Accordingly, a closed universe forms in a region of space within a trapped null surface when this threshold is reached. Such a region could be the interior of a black hole [24]. Torsion therefore may explain the origin of our universe [10].…”

mentioning

confidence: 99%

Analysis of big bounce in Einstein–Cartan cosmology

Cubero

Popławski

2019

Class. Quantum Grav.

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We analyze the dynamics of a homogeneous and isotropic universe in the Einstein-Cartan theory of gravity. The spin of fermions produces spacetime torsion that prevents gravitational singularities and replaces the big bang with a nonsingular big bounce. We show that a closed universe exists only when a particular function of its scale factor and temperature is higher than some threshold value, whereas an open and a flat universes do not have such a restriction. We also show that a bounce of the scale factor is double: as the temperature increases and then decreases, the scale factor decreases, increases, decreases, and then increases.

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Carbon allotropes exhibiting negative linear compressibility

Formosa

Cauchi

Grima

2015

Physica Status Solidi (b)

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Negative linear compressibility, i.e., the phenomenon of expansion rather than shrinkage in at least one direction upon the application of a hydrostatic compressive pressure is an unusual mechanical property which is attracting more interest in the recent years. Here, through analysis of published data by Hu et al. [J. Superhard Mater. 36, 257–269 (2014)] as well as through static force‐field based simulations, it is shown that it is possible to achieve this property in the novel carbon allotropes built from sp2 and sp3 hybridized carbon atoms which have a two‐dimensional projection that resembles a honeycomb motif in their (001) plane. This is in accordance with earlier predictions that honeycombs deforming through a hinging‐like mechanism could exhibit this property for certain geometries.

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Viscoelastic properties of inhomogeneous media with a fractal structure

Cited by 5 publications

References 8 publications

Extreme viscoelastic properties of composites of strongly inhomogeneous structures due to negative stiffness phases

Extreme viscoelastic properties of composites of strongly inhomogeneous structures due to negative stiffness phases

Analysis of big bounce in Einstein–Cartan cosmology

Carbon allotropes exhibiting negative linear compressibility

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