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Creep Curves Generated by a Nonlinear Flow Model of Tixotropic Viscoelastoplastic Media Taking into Account Structure Evolutionстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 27 ноября 2024 г.
- Автор: Khokhlov A.V.
- Журнал: Moscow University Mechanics Bulletin
- Том: 79
- Номер: 4
- Год издания: 2024
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 119
- Последняя страница: 129
- DOI: 10.3103/s002713302470016x
- Аннотация: We continue the systematic analytical study of the nonlinear Maxwell-type constitutiveequation for shear flow of tixotropic viscoelastoplastic media formulated in the previous article. It accounts for interaction of deformation process and structure evolution, namely, the influence of the kinetics of formation and breakage of chain cross-links, agglomerations of molecules, and crystallites on viscosity and shear modulus and deformation influence on the kinetics. The constitutive equation is governed by an increasing material function and six positive parameters. Assuming that the stress is constant (in order to simulate creep conditions), we formulate the set of two nonlinear differential equations for two unknown functions (namely, strain and cross-links density) and obtain its exact general solution in explicit form. We examine the properties of creep curves generated by the model for arbitrary material function and material parameters and analyze dependence of creep curves and cross-links density on time, stress level, initial cross-links density,and material parameters governing the model. Thus, we prove that the model not only describes basic phenomena observed for simple shear flow of shear thinning fluids, but can simulate creep,relaxation, and other phenomena observed for solid bodies
- Добавил в систему: Хохлов Андрей Владимирович
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