A moving hinge solution for axisymmetric crushing of tubes

Wierzbicki, Tomasz; Bhat, Shankar

doi:10.1016/0020-7403(86)90033-0

Cited by 64 publications

(10 citation statements)

References 6 publications

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“…Therefore, the effect of stretching and travelling hinges (Johnson et al, 1977;Wierzbicki and Bhat, 1986) cannot be taken into account. However, stretching is much less important than axial compression in terms of energy balance; and compared to a fixed hinge, travelling hinges mainly spread out the same quantity of bending energy.…”

Section: Theoretical Analysis Of An Idealized Box Column Modelmentioning

confidence: 99%

On the strength enhancement under impact loading of square tubes made from rate insensitive metals

Zhao

Abdennadher

2004

International Journal of Solids and Structures

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Section: Theoretical Analysis Of An Idealized Box Column Modelmentioning

confidence: 99%

On the strength enhancement under impact loading of square tubes made from rate insensitive metals

Zhao

Abdennadher

2004

International Journal of Solids and Structures

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“…This model was validated experimentally by Abramowicz and Jones [2]. Alexander [3], Pugsley [4], Abramowitcz [5] and Abramowitcz and Jones [6], Singace et al [7] and Wierzbicki et al [8] also used the same method to predict the crash behavior of circular tubes.…”

Section: H R Zarei and M Krögermentioning

confidence: 98%

Crashworthiness optimization of empty and filled aluminum crash boxes

Zarei

Kröger

2007

International Journal of Crashworthiness

108

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Dynamic crash tests on empty, honeycomb-filled and foam-filled square aluminum tubes have been performed. Furthermore, in order to find more details about crash processes, finite element simulations of the experiments have been done. In terms of finding more efficient and lighter crash absorbers and achieving maximum energy absorption, Multi design optimization (MDO) technique has been applied for optimizing the square and circular tubes. Based on practical requirements the optimum tube geometry which absorbs maximum energy and has a minimum weight has been determined. The results of simulations of filled identical tubes with honeycomb and foam with the same density showed that the foam behaves better than honeycomb. Results of previous work indicated that using high density honeycomb for filling the tubes will result in more energy absorption but the weight efficiency has been lost (H R Zarei, M Kröger M and K Popp, 'Experimental and numerical quasi static crash investigation in empty and honeycomb filled aluminum square tubes ', Int J Crashworthiness, May 2005, submitted). Therefore, a comprehensive study has been performed in order to find out the crash behavior of tubes filled with foam with different densities. The MDO procedure has been implemented to find an optimum filled tube that absorbed the same energy as an optimum empty tube can absorb.

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“…They found reasonable agreement between the analytical results and experimental findings under quasi-static test conditions for a wide range of diameter-to-thickness ratios. Wierzbicki and Bhat [18] developed a moving hinge solution for the axisymmetric collapse mode during axial crushing of cylindrical tubes. This model allows the prediction of the complete load-displacement history.…”

Section: Materials and Designmentioning

confidence: 99%