Wave propagation in materials with negative Cosserat shear modulus

Materials with negative elastic moduli are unstable, but can be stabilised by specific boundary conditions. In particulate materials under compression, rotating non-spherical particles produce the effect of negative Cosserat shear modulus. We consider wave propagation in such materials and demonstra...

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Bibliographic Details
Published inInternational journal of engineering science Vol. 100; pp. 152 - 161
Main Authors Pasternak, E., Dyskin, A.V., Esin, M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2016
Subjects
Boundary conditions
Continuums
Cosserat continuum
Frequency threshold
Modulus of elasticity
Rolling of non-spherical particles
Rotating
Shear modulus
Shear-rotational waves
Sound waves
Thresholds
Wave propagation
Frequency threshold
Shear-rotational waves
Cosserat continuum
Rolling of non-spherical particles
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Summary:Materials with negative elastic moduli are unstable, but can be stabilised by specific boundary conditions. In particulate materials under compression, rotating non-spherical particles produce the effect of negative Cosserat shear modulus. We consider wave propagation in such materials and demonstrate that when the sum of the negative Cosserat shear modulus and the conventional shear modulus is positive the waves can propagate. In the conventional isotropic Cosserat continuum the twist wave and one of the shear waves exist only at frequencies higher than a threshold. When the Cosserat shear modulus is negative all waves exist at all frequencies; observing the twist and shear waves one can detect and investigate the negative moduli.
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ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2015.11.004