Plastic deformation of 2D crumpled wires

Gomes, M. A. F.; Brito, V. P.; Coelho, A. S.; Donato, C. C.

doi:10.1088/0022-3727/41/23/235408

Cited by 13 publications

(11 citation statements)

References 30 publications

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“…In the past decade, the crumpling of thin wires has been studied in two dimensions experimentally by Donato et al (2002Donato et al ( , 2003Donato et al ( , 2006; Donato and Gomes (2007); Gomes et al (2008b) followed by numerical simulations by Stoop et al (2008), from a primarily physical perspective. It wasn't until very recently that experiments were extended to three dimensions (Gomes et al, 2008a;Stoop et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

Finite element simulation of dense wire packings

Vetter

Wittel

Stoop

et al. 2013

European Journal of Mechanics - A/Solids

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A finite element program is presented to simulate the process of packing and coiling elastic wires in two-and three-dimensional confining cavities. The wire is represented by third order beam elements and embedded into a corotational formulation to capture the geometric nonlinearity resulting from large rotations and deformations. The hyperbolic equations of motion are integrated in time using two different integration methods from the Newmark family: an implicit iterative Newton-Raphson line search solver, and an explicit predictor-corrector scheme, both with adaptive time stepping. These two approaches reveal fundamentally different suitability for the problem of strongly self-interacting bodies found in densely packed cavities. Generalizing the spherical confinement symmetry investigated in recent studies, the packing of a wire in hard ellipsoidal cavities is simulated in the frictionless elastic limit. Evidence is given that packings in oblate spheroids and scalene ellipsoids are energetically preferred to spheres.

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Section: Introductionmentioning

confidence: 99%

Finite element simulation of dense wire packings

Vetter

Wittel

Stoop

et al. 2013

European Journal of Mechanics - A/Solids

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“…Furthermore, Åström et al [8] reported a divergence in F when the volume fraction of the sample is around 0.75, at which point the elastic behavior turns out to be sim-ilar to that of a granular media. In the last decade, scientists have performed many experiments to determine the dimension D of elastic and plastoelastic crumpled structures [9,10,11,12]. Most were based on the scaling relation in Eq.…”

Section: Introductionmentioning

confidence: 99%

X-ray tomography of a crumpled plastoelastic thin sheet

et al. 2009

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Three-dimensional x-ray tomography is performed to investigate the internal structure and its evolution of a crumpled aluminum foil ball. The upper and lower bounds of the internal geometric fractal dimension are determined, which increase with the compression. Contrary to the simulation results, we find that the mass distribution changes from being inhomogeneous to uniform. Corroborated with the evidence from previous experiments, these findings support the physical picture that the elastic property precedes the plastic one at dominating the deformation and mechanical response for all crumpled structures. We show that the interior of a crumpled ball at the plastic regime can be mapped to the compact packing of a granular system.

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“…The injection of filaments into cavities is a basic problem involving elasticity and self-exclusion. These are two aspects of great importance in nature, with wide range of influence from polymeric packing [1,2] to DNA packaging in viral capsids [3,4,5,6]. The structures formed by the confinement of wires packaged [3,7] and crumpled surfaces [8] present anomalous characteristics [3] that are of interest to soft matter physics and statistical physics.…”

Section: Introductionmentioning

confidence: 99%

“…These are two aspects of great importance in nature, with wide range of influence from polymeric packing [1,2] to DNA packaging in viral capsids [3,4,5,6]. The structures formed by the confinement of wires packaged [3,7] and crumpled surfaces [8] present anomalous characteristics [3] that are of interest to soft matter physics and statistical physics. The mechanical properties are influenced by the hierarchy of its folds [9,10] and show a behavior similar to that found in unbranched polymers diluted in a solvent [2].…”

Section: Introductionmentioning

confidence: 99%

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Deformation of loops in 2D packing of flexible rods

Sobral,

de Holanda,

Leal

et al. 2020

Preprint

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The injection of a long piece of flexible rod into a two-dimensional domain yields a complex pattern commonly studied through elasticity theory, packing analysis, and fractal geometries. "Loop" is an one-vertex entity which which is naturally formed in this system. The role of the elastic features of each individual loop in 2D packing has not yet been discussed. In this work we point out how the shape of a given loop in the complex structure allows to estimate local deformations and forces. First, we build sets of symmetric free loops and performed compression experiments. Then, tight packing configurations are analyzed by using image processing. We found that the dimensions of the loops, confined or not, obey the same dependence on the deformation. The result is consistent with a simple model based on 2D elastic theory for filaments, where the rod adopts the shape of Euler's elasticas between its contact points. The force and the stored energy are obtained from numerical integration of the analytic expressions. In an additional experiment, we obtain that the compression force for deformed loops corroborates the theoretical findings. The importance of the shape of the loop is discussed and we hope that the theoretical curves may allow statistical considerations in future investigations.

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Plastic deformation of 2D crumpled wires

Cited by 13 publications

References 30 publications

Finite element simulation of dense wire packings

Finite element simulation of dense wire packings

X-ray tomography of a crumpled plastoelastic thin sheet

Deformation of loops in 2D packing of flexible rods

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