Analysis of Large Plastic Deformations in Shell Structures

Calladine, C. R.

doi:10.1007/978-3-642-82776-1_4

Cited by 6 publications

(4 citation statements)

References 18 publications

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“…Here we modify the approximate analysis of Calladine (1986) for the inversion of a spherical shell under a point central load to the case of a conical frustum compressed between two frictionless rigid platens. The conical frustum is made from a rigid, ideally plastic solid of yield strength Y , and uniform wall thickness t.…”

Section: Travelling Hinge Modelmentioning

confidence: 99%

Energy absorption of an egg-box material

Deshpande

Fleck

2003

Journal of the Mechanics and Physics of Solids

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Conical frustra made from leaded gun-metal have been compressed axially. Collapse is either by a travelling plastic hinge or by tearing. An analytical model is developed for the travelling plastic hinge in a rigid, ideally plastic solid; its predictions are compared with the observed response, and with those of an axisymmetric ÿnite element analysis. The travelling hinge mechanism is also observed in the compressive collapse of an egg-box material comprising a square array of conical frustra. Collapse mechanism maps are constructed for the egg-box material, and they show the regimes of dominance of elastic buckling, material tearing and the travelling plastic hinge. The maps are useful for selecting egg-box geometries that maximise the energy absorption per unit mass at any prescribed value of collapse stress. The optimisation indicates that the egg-box material has a similar energy absorption capacity to that of hexagonal honeycombs and is superior to that of metal foams. ?

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Section: Travelling Hinge Modelmentioning

confidence: 99%

Energy absorption of an egg-box material

Deshpande

Fleck

2003

Journal of the Mechanics and Physics of Solids

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“…An additional postulate introduced is that the actual rolling radius adjusts itself so as to minimize the wedge force. It should be mentioned that a similar postulate has been used by many authors in solving the plastic tube inversion problem (see for example [18] and [19]). The analytical minimum of the right hand side of (34) with respect to R does exist and the solution of the equation…”

Section: Closed-form Solutionmentioning

confidence: 99%

A theoretical study of steady-state wedge cutting through metal plates

Zheng

Wierzbicki

1996

Int J Fract

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The process of steady-state wedge cutting through steel plates is investigated by analyzing experimental data and developing a simple and realistic model of the problem. Kinematics of the cutting process is discussed and three characteristic deformation zones are identified: (i) plastic zone at wedge tip, (ii) transient bent flap, and (iii) transition zone. Deformation energies are calculated for each zone, and the upper bound theorem in plasticity is applied to derive a closed-form solution for the cutting force. Frictional effects were considered including machining friction near the wedge tip and sliding friction between the transient flap and the wedge surface. Prediction of the steady-state cutting model is compared with experiments conducted at Cambridge University, MIT, and Det norske Veritas. Good correlation with the test data is reported. A parametric study is performed and on that basis a simple approximate solution is developed. An interesting association was discovered with previous empirical formulas proposed by Minorsky, Vaughan, and Kuroiwa.

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“…Energy absorbing structure is an integral part of any vehicles to reduce the risk of high loads generated during an impact event. Thin-walled structures have been widely used as energy absorbers due to their excellent performance under dynamic and impact forces [1][2][3][4][5][6]. The energy absorption performance of thin-walled structures with different cross-sections and configurations such as square [7,8], circular [9,10], bi-tubal [11], pentagon [12], tapered [13,14], sandwich [15,16], honeycomb [17][18][19][20], windowed [21][22][23][24], multi-cell and nested [25][26][27][28][29] has been extensively studied in literature.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of crushing and energy absorption characteristics of bio-inspired nested structures

Nikkhah

Baroutaji

Kazancı

et al. 2020

Thin-Walled Structures

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Mimicking anatomical structures like bone can aid in the development of energy absorbing structures that can achieve desirable properties. Accordingly, this study presents the analysis of tubular nested designs inspired by Haversian bone architecture. Based on this design philosophy, a total of 18 nested tube designs with various geometrical configurations were developed. Within each design, the effect of

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Analysis of Large Plastic Deformations in Shell Structures

Cited by 6 publications

References 18 publications

Energy absorption of an egg-box material

Energy absorption of an egg-box material

A theoretical study of steady-state wedge cutting through metal plates

Evaluation of crushing and energy absorption characteristics of bio-inspired nested structures

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