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The generalized Cauchy relation as an universal property of the amorphous state

Abstract : From the structural point of view a simple Cauchy relation is not expected to hold for isotropic materials. Such a Cauchy relation would imply the reduction of independent elastic stiffness constants for the isotropic state from two to one. However, high frequency elastic data of glasses and viscous liquids show a linear transformation between the shear and the longitudinal elastic stiffness which is called a generalized Cauchy relation. It seems, that the parameters of the linear transformation are related to the global and local symmetry and/or order. Brillouin investigations on the elastic stiffness coefficients of a consolidated nano-crystalline material (CeO2) and of DGEBA/SiO2 nano-composites are used in order to elucidated the role of the discrepancy between local and global symmetry and/or order.
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Contributor : Julia Mainka <>
Submitted on : Monday, July 24, 2017 - 5:23:59 PM
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J. Krüger, U. Müller, R. Bactavatchalou, J. Mainka, Ch. Gilow, et al.. The generalized Cauchy relation as an universal property of the amorphous state. 34th Winter School on Wave and Quantum Acoustics, Feb 2005, Ustron, Poland. 129, pp.45 - 49, 2005, JOURNAL DE PHYSIQUE IV, ⟨10.1051/jp4:2005129010⟩. ⟨hal-01568024⟩



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