English translation of Giesekus's famous article on the elasticity of liquids

Author:

Germann Natalie12ORCID,Wagner Norman J.3ORCID,Beris Antony N.3ORCID

Affiliation:

1. Chair of Process Systems Engineering, Faculty 4—Energy-, Process-, and Bio-Engineering, University of Stuttgart, Böblinger Str. 78, 70199 Stuttgart, Germany

2. Laboratory of Fluid Mechanics, Department of Chemical and Biochemical Engineering, Technical University of Dortmund, Emil-Figge-Str. 68, 44227 Dortmund, Germany

3. Center for Research in Soft Matter and Polymers (CRiSP), Department of Chemical and Biomolecular Engineering, University of Delaware, 150 Academy Street, Newark, Delaware 19716, USA

Abstract

Starting from a suspension of elastic dumbbells or chain-like particle aggregates as a simple model of a viscoelastic liquid, the rheological equation of state is inductively derived into which the concept of an “elastic strain component” (recoverable strain) is incorporated and can be understood as a nonlinear extension of the so-called “generalized Maxwell model.” Here, the liquid is characterized by a sequence of nested continua, each associated with an elasticity law. The consideration of the directional dependence of the mobility of the structural elements requires that the behavior of the liquids represented in this way generally deviates from a Weissenberg liquid.

Publisher

AIP Publishing

Subject

Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering

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