Experimental evidence of rotational elastic waves in granular phononic crystals

A generalized theory of elasticity, taking into account the rotational degrees of freedom of point bodies constituting a continuum, was proposed at the beginning of the twentieth century by the Cosserat brothers. We report the experimental observation of coupled rotational-translational modes in a n...

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Bibliographic Details
Published in:	Physical review letters Vol. 107; no. 22; p. 225502
Main Authors:	Merkel, A, Tournat, V, Gusev, V
Format:	Journal Article
Language:	English
Published:	United States American Physical Society 21-11-2011
Subjects:	Acoustics Mechanics Physics 4570Àn 6230+d numbers: 6220DÀ
Online Access:	Get full text
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Summary:	A generalized theory of elasticity, taking into account the rotational degrees of freedom of point bodies constituting a continuum, was proposed at the beginning of the twentieth century by the Cosserat brothers. We report the experimental observation of coupled rotational-translational modes in a noncohesive granular phononic crystal. While absent in the classical theory of elasticity, these elastic wave modes are predicted by the Cosserat theory. However the Cosserat theory fails to predict correctly the dispersion of the elastic modes in granular crystals even in the long-wavelength limit.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0031-9007 1079-7114
DOI:	10.1103/physrevlett.107.225502