Theoretical model of a metal tube under inversion over circular dies

Yu, Xia; Qiu, Xinming; Yu, Tao

doi:10.1016/j.ijmecsci.2016.01.028

Cited by 20 publications

(8 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For circular tube inversion, a few theoretical models have been proposed to predict the inversion forces [1,12]. These models, however, are restricted to the cases where the frictions between the tube and die is either very small or zero.…”

Section: Resultsmentioning

confidence: 99%

External inversion of thin-walled corrugated tubes

Zhang

2018

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

A thin-walled circular tube is known to be able to invert externally under axial compression when it is placed upon a profiled rigid die. Such a structure has become a promising candidate for energy absorbing applications due to its high reaction force and good load uniformity. However, the inversion process could become rather unstable when imperfections are present and the friction between the tube and die is high, which largely limits its application. In this paper we propose the use of corrugated thin-walled tubes. Both simulation and experimental results show that thin-walled corrugated tubes can have much more stable inversion in comparison with their circular counterparts. They are less sensitive to the surface imperfections, and no stringent requirement of lubrication on the die is necessary. Our research has paved the way for such devices to be used as an effective energy absorption device in many practical applications.

show abstract

Section: Resultsmentioning

confidence: 99%

External inversion of thin-walled corrugated tubes

Zhang

2018

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

show abstract

“…(2) Yu et al (2016) assumed that both  AB and  BC segments are quarter circles with different radii, that is, the curvature radius at point B changed immediately. And the curvature radius of  BC segment is determined as follows,…”

Section: Problem Descriptionmentioning

confidence: 99%

“…However, it should be noted that the friction at the contact area can greatly influence inversion mode and even prevents the tube from inversion successfully. Previous theoretical models (Niknejad and Moeinifard (2012), Yu et al (2016)) based on energy method did not consider the friction energy consumption. By referring to the theoretical model (Liu et al (2018)), the refined steady inversion force mf P considering friction effect is,…”

Section: The Steady Inversion Forcementioning

confidence: 99%

“…In the process of calculating the steady inversion forces, Niknejad and Moeinifard (2012) and Yu et al (2016) neglected the friction effect and the different flow stress are adopted in the previous three model. For consistency, the flow stress defined by Eq.…”

Section: The Steady Inversion Forcementioning

confidence: 99%

“…However, the author still opted to use the conventional geometric model with constant curvature due to the complexity involved in obtaining the curvature of this geometric model. Yu et al (2016) utilized the geometric model proposed by Leu (2000) and derived the theoretical expressions of the steady inversion force and the forming radius by energy method.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A revised theoretical model for external inversion process over a circular die

Zhang,

Yin,

Shi

et al. 2024

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

As an ideal impact energy absorber, the external inversion process of thin-walled metal tubes over circular dies has been studied theoretically since 1960s. However, in the most existing theoretical models, the curvature in the deformation area is a constant and only the steady inversion force is studied. Limited research has been conducted on the whole inversion process. In this study, from experimental and numerical results, the curvature is found to be varying and the whole inversion process can be divided into two stages by three states. Then a modified geometric model is proposed and the force displacement curves is derived. Next, it has been observed that current theoretical results exhibit greater conformity with experimental and numerical results. Finally, the effects of the tube wall thickness, tube average radius and die radius on crashworthiness indicators are studied theoretically by the verified theoretical model. These outcomes offer valuable reference for further research on tube inversion forming and energy absorption characteristics of external inversion mode.

show abstract

A novel efficient energy absorber: circular metal foam-filled tube under external inversion over a die

Bai,

Zhang

2024

Acta Mech

View full text Add to dashboard Cite

Theoretical model of a metal tube under inversion over circular dies

Cited by 20 publications

References 17 publications

External inversion of thin-walled corrugated tubes

External inversion of thin-walled corrugated tubes

A revised theoretical model for external inversion process over a circular die

A novel efficient energy absorber: circular metal foam-filled tube under external inversion over a die

Contact Info

Product

Resources

About