Method for constructing rheological models of incompressible media under\n finite deformations

2003/09/26 by Alexander L. Svistkov, А. Л. Свистков, Svistkov, Alexander L. +2
Agricultural and Biological Sciences · Chemical Engineering · Engineering · Physics and Astronomy · #Elasticity and Material Modeling #Elasticity and Wave Propagation #Engineering and Agricultural Innovations #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Materials Science (cond-mat.mtrl-sci) #Mechanics and Biomechanics Studies #Rheology and Fluid Dynamics Studies #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0309608

9 pages, 3 figures

arxiv created 2003/09/26 · openalex publication_date 2003/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

This paper offers a method of obtaining constitutive equations for\nrheological medium. The method has been developed using the symbolic diagram\nillustrating the behavior of incompressible material. The studied medium\noperates under finite deformations. Elastic and viscous interrelations between\nthe diagram points are described by equations of the nonlinear elasticity\ntheory and the nonlinear viscous fluid.\n

Citations

• A theory of finite viscoelasticity and numerical aspects
• Superimposed finite elastic–viscoelastic–plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation
• A new viscoelastic constitutive model for continuous media at finite thermomechanical changes

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