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Nonlinear rheological models for structured interfaces

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  • Sagis, Leonard M.C.

Abstract

The GENERIC formalism is a formulation of nonequilibrium thermodynamics ideally suited to develop nonlinear constitutive equations for the stress–deformation behavior of complex interfaces. Here we develop a GENERIC model for multiphase systems with interfaces displaying nonlinear viscoelastic stress–deformation behavior. The link of this behavior to the microstructure of the interface is described by including a scalar and a tensorial structural variable in the set of independent surface variables. We derive an expression for the surface stress tensor in terms of these structural variables, and a set of general nonlinear time evolution equations for these variables, coupling them to the deformation field. We use these general equations to develop a number of specific models, valid for application near equilibrium, or valid for application far beyond equilibrium.

Suggested Citation

  • Sagis, Leonard M.C., 2010. "Nonlinear rheological models for structured interfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 1993-2006.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:10:p:1993-2006
    DOI: 10.1016/j.physa.2010.01.032
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