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Moment-angle curve from folding a paperboard panel

This and the next image are from:

Lando Mentrasti (1), Ferdinando Cannella (2), Mirko Pupilli (3) and Jian S. Dai (4)
(1) Dipartimento di Ingegneria Civile, Edile e Architettura, Facoltà di Ingegneria, Università Politecnica delle Marche, Via Brecce Bianche, 60131 Ancona, Italy
(2) Department of Advanced Robotics, Italian Institute of Technology, Via Morego 30, 16163 Genova, Italy
(3) Dipartimento di Meccanica, Facoltà di Ingegneria, Università Politecnica delle Marche, Via Brecce Bianche, 60131 Ancona, Italy
(4) Department of Mechanical Engineering, King’s College London, University of London, Strand, London WC2R 2LS, United Kingdom

“Large bending behavior of creased paperboard. I. Experimental Investigations”, International Journal of Solids and Structures, Vol. 50, Nos. 20-21, pp 3089-3096, October 2013, https://doi.org/10.1016/j.ijsolstr.2013.05.018

ABSTRACT: The large bending behavior of a creased paperboard is studied in the range of rotation θ ∊ [0°, 180°] – new results, apparently not reported previously in literature – with the aim to point out some crucial aspect involved in an adaptive robotic manipulation of the industrial cartons. The loading tests show a great variability of the mechanical behavior, depending dramatically on the crease indentation depth (also for the specimens obtained from the same carton): (a) when the damage induced during the crease formation is relatively small, the bending response is unusually complex: the moment constitutive function, mL(θ), presents (up to) two peaks followed by unstable branches; (b) for greater indentation, the mL(θ) is monotone. In the unloading case the response mU(θ) is always monotone and is practically independent of the formation conditions of the crease. These behaviors can be easily described analytically using (piecewise) third degree splines. In a companion paper, the erection of a typical carton corner with unstable constitutive behavior is fully analyzed to detect the possible criticalities.

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