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Crystals 2018, 8(5), 195;

A Phononic Crystal-Based High Frequency Rheometer

Department of Physics and Astronomy, University of Manitoba, Winnipeg, MB R3T 2N2, Canada
ESPCI Paris, PSL University, CNRS, Institut Langevin, 75005 Paris, France
CNRS, Laboratoire Matière et Systèmes Complexes, Université Paris Diderot, 75013 Paris, France
Author to whom correspondence should be addressed.
Received: 16 March 2018 / Revised: 19 April 2018 / Accepted: 29 April 2018 / Published: 1 May 2018
(This article belongs to the Special Issue Phononics)
PDF [1719 KB, uploaded 2 May 2018]


Dynamic Mechanical Analysis (DMA) allows for the measurement of the complex shear modulus of an elastomer. Measurements at frequencies above the frequency range of the device can be reached thanks to the Time–Temperature Equivalence principle. Yet, frequencies higher than a few kHz are not attainable. Here, we propose a method exploiting the physics of bubble phononic crystals to measure the complex shear modulus at frequencies of a few tens of kHz. The idea is to fabricate a phononic crystal by creating a period arrangement of bubbles in the elastomer of interest, here PolyDiMethylSiloxane (PDMS), and to measure its transmission against frequency. Fitting the results with an analytic model provides both the loss and storage moduli. Physically, the shear storage modulus drives the position of the dip observed in transmission while the loss modulus controls the damping, and thus the level of transmission. Using this method, we are able to compare the high-frequency rheological properties of two commercial PDMS and to monitor the ageing process. View Full-Text
Keywords: acoustics; phononic crystals; metamaterials; rheology; shear storage modulus; shear loss modulus acoustics; phononic crystals; metamaterials; rheology; shear storage modulus; shear loss modulus

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Lanoy, M.; Bretagne, A.; Leroy, V.; Tourin, A. A Phononic Crystal-Based High Frequency Rheometer. Crystals 2018, 8, 195.

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