An analytic solution for an expanding/contracting strain-hardening viscoplastic hollow cylinder at large strains and its application to tube hydroforming design

This paper presents a semi-analytic rigid/plastic solution for the expansion/contraction of a hollow cylinder at large strains. The constitutive equations comprise the yield criterion and its associated flow rule. The yield criterion is pressure-independent. The yield stress depends on the equivalent strain rate and the equivalent strain. No restriction is imposed on this dependence. The solution is facilitated using the equivalent strain rate as an independent variable instead of the polar radius. As a result, it reduces to ordinary integrals. In the course of deriving the solution above, the transformation between Eulerian and Lagrangian coordinates is used. A numerical example illustrates the solution for a material model available in the literature. A practical aspect of the solution is that it readily applies to the preliminary design of tube hydroforming processes. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Авторы
Lang L.1 , Alexandrov S. 1, 2 , Rynkovskaya M. 2
Журнал
Издательство
MDPI
Номер выпуска
12
Язык
Английский
Статус
Опубликовано
Номер
2161
Том
9
Год
2021
Организации
  • 1 School of Mechanical Engineering and Automation, Beihang University, 37 Xueyuan Road, Beijing, 100191, China
  • 2 Academy of Engineering, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
Ключевые слова
Hollow cylinder; Large strains; Rate hardening; Semi-analytic solution; Strain hardening; Tube hydroforming
Дата создания
06.07.2022
Дата изменения
06.07.2022
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/84485/
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