Kramers–Kronig relationships application on master curves obtained on Honey from a few Hz to GHz: major interest of high frequency ultrasonic methods

Didier Laux (1, 2) , Vivian Cereser Camara (1, 2) , Jean-Yves Ferrandis (1, 2) , Gérard Leveque (2, 1) , Hugues Blasco (2, 1)

1 IES - Institut d’Electronique et des Systèmes
2 M2A - Matériaux, MicroCapteurs et Acoustique

Viscoelastic properties of biological materials and food are of first interest on an academic point of view (internal structure evaluation) and on a practical point of view: link between rheological properties and macroscopic parameters such as moisture or fat content. Since many years we are working on high frequency ultrasonic approaches dedicated to food and biological materials investigation. We have already shown that investigations of complex reflection coefficients at an interface (elastic solid) / (viscoelastic material) can give accurate information on alpha-transition or glass transition around room temperature for a typical biological material and food: honey. In this new communication we propose to investigate how high frequency methods can give interesting information for Kramers-Kronig relationships application. In particular we will demonstrate that high frequency methods give an asymptotic behavior around glass transition which is fundamental for Kramers–Kronig relationships application. Then using also low frequency behavior (classical rheology) it is possible to deduce G’ with G’’ or G’’ with G’ on a very large bandwith (few Hz to GHz) around room temperature. This allows the determination of the whole master curves when G’ or G’’ are not measured properly. Examples will be given on honey.

Mots clés: Kramers-Kronig; Honey; Master curves; High Frequency

Domaines: Acoustique [physics.class-ph]

Didier Laux, Vivian Cereser Camara, Jean-Yves Ferrandis, Gérard Leveque, Hugues Blasco. Kramers–Kronig relationships application on master curves obtained on Honey from a few Hz to GHz: major interest of high frequency ultrasonic methods. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00810659⟩