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Extension of the Lamé-Gadolin problem for large deformations and its analytical solutionстатья
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: 20 июня 2016 г.
- Авторы: Zingerman K.M., Levin V.A.
- Журнал: Journal of Applied Mathematics and Mechanics (English translation of Prikladnaya Matematika i Mekhanika)
- Том: 77
- Номер: 2
- Год издания: 2013
- Издательство: Pergamon Press Ltd.
- Местоположение издательства: United Kingdom
- Первая страница: 235
- Последняя страница: 244
- DOI: 10.1016/j.jappmathmech.2013.07.016
- Аннотация: The formulation and solution of the axisymmetric static problem of the stress-strain state of two hollow circular elastic cylinders, one of which is predeformed and inserted into the other cylinder, is considered in the case of large plane deformations (an extension of the Lamé–Gadolin problem to large deformations). Using the theory of the superposition of large deformations, an exact analytical solution of the static problem for cylinders made of incompressible Treloar and Bartenev–Khazanovich materials is obtained, including the case when the cylinders are made of dissimilar materials. An analytical solution is obtained in parametric form for a compressible Blatz–Ko material. Non-linear effects are investigated.
- Добавил в систему: Левин Владимир Анатольевич