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Torsion Processes for Cylindrical Samples Made of Incompressible Viscoelastic Materials of the Maxwell Typeстатья
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: 11 ноября 2019 г.
- Автор: Martynova E.D.
- Журнал: Mechanics of Solids
- Том: 54
- Номер: 2
- Год издания: 2019
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 329
- Последняя страница: 340
- DOI: 10.3103/S002565441903018X
- Аннотация: Analytical solutions are obtained for the problem of torsion of incompressible cylinders,whose materials are described by the constitutive relations of viscoelastic media, generalizing the rela-tions of the elementary Maxwell model for the case of finite deformations. Constitutive relations differfrom each other in the value of the parameter specifying the type of an objective derivative used fromthe Gordon–Showalter family, including the Oldroyd, Cotter–Rivlin, and Jaumann derivatives.It is shown that a longitudinal compressive force (the Poynting effect) is generated when twisting a cyl-inder with a constant length, whose material is described by any constitutive relation from the one-parameter family under consideration. For stepwise deformation processes, a qualitative descriptionof a number of available experimental data are also obtained.
- Добавил в систему: Мартынова Елена Дмитриевна