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    Viscoelastic Acoustic Response of Layered Polymer Films at Fluid-Solid Interfaces: Continuum Mechanics Approach

    Year: 1999

    Journal: Physica Scripta 1999 Vol. 59, 391-396, 20100827

    Authors: Voinova M.V. 1 2, Rodahl M. 2, Jonsson M. 2,  Kasemo B. 2

    Last authors: B. Kasemo

    Organizations: 1 Department of Theoretical Physisc, Kharkov State University, Kharkow 310077, Ukraine 2 Department of Applied Physics, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden

    Country: Sweden

    We have derived the general solution of a wave equation describing the dynamics of two-layer viscoelastic polymer materials of arbitrary thickness deposited on solid (quartz) surfaces in a fluid environment. Within the Voight model of viscoelastic element, we calculate the acoustic response of the system to an applied shear stress, i.e. we find the shift of the quartz generator resonance frequency and of the dissipation factor, and show that it strongly depends on the viscous loading of the adsorbed layers and on the shear storage and loss moduli of the overlayers. These results can readily be applied to quartz crystal acoustical measurements of the viscoelasticity of polymers which conserve their shape under the shear deformations and do not flow, and layered structures such as protein films adsorbed from solution onto the surface of self-assembled monolayers.