TY - JOUR
T1 - Wave propagation in materials with negative Cosserat shear modulus
AU - Pasternak, Elena
AU - Dyskin, Arcady
AU - Esin, Maxim
PY - 2016/3/1
Y1 - 2016/3/1
N2 - © 2015 Elsevier Ltd. All rights reserved. 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.
AB - © 2015 Elsevier Ltd. All rights reserved. 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.
UR - https://www.scopus.com/pages/publications/84954180989
U2 - 10.1016/j.ijengsci.2015.11.004
DO - 10.1016/j.ijengsci.2015.11.004
M3 - Article
SN - 0020-7225
VL - 100
SP - 152
EP - 161
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
ER -