Abstract
Crumpled metal foils are a new type of lightweight cellular materials. The engineering applications of crumpled foils require a deep understanding of their response to mechanical loads. In order to establish a comprehensive understanding of the mechanical behavior of crumpled foils, in the present study, the uniaxial compression experiments were performed on cylindrical samples of different packing densities manufactured by die compaction of randomly crumpled aluminum foils. This has allowed us to deduce the constitutive stress–strain relationship and quantify the relaxation behavior of crumpled foils. Consequently, we determine the mechanical properties (apparent Young modulus, yield stress, and longitudinal stiffness modulus) that govern the deformation behavior of crumpled samples in the whole range of relative deformation. The power-law dependence of mechanical properties on the initial packing density is revealed. The stress and strain relaxation behavior of crumpled foils is also elucidated. These findings provide further insight into the deformation behavior and relaxation mechanisms of crumpled aluminum foils. The knowledge of the mechanical and relaxation characteristics of crumpled aluminum foils is useful for their engineering application.
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References
Wood AJ (2002) Witten’s lectures on crumpling. Phys A 313:83–109
Balankin AS, Montes de Oca RC, Samayoa D (2007) Intrinsically anomalous self-similarity of randomly folded matter. Phys Rev E 76:032101
Lin YC, Sun JM, Yang HW, Hwu Y, Wang CL, Hong TM (2009) X-ray tomography of a crumpled plastoelastic thin sheet. Phys Rev E 80:066114
Balankin AS, Samayoa D, Miguel IA, Patiño J, Martínez MA (2010) Fractal topology of hand-crumpled paper. Phys Rev E 81:061126
Gomes MAF, Jyh TI, Ren TI, Rodrigues IM, Furtado CBS (1989) Mechanically deformed crumpled surfaces. J Phys D Appl Phys 22:1217–1221
DiDonna BA, Witten TA (2001) Anomalous strength of membranes with elastic ridges. Phys Rev Lett 87:206105
Matan K, Williams RB, Witten TA, Nagel SR (2002) Crumpling a thin sheet. Phys Rev Lett 88:076101
Vliegenthart GA, Gompper G (2006) Forced crumpling of self-avoiding elastic sheets. Nat Mater 5:216–221
Balankin AS, Susarrey O (2008) Entropic rigidity of a crumpling network in a randomly folded thin sheet. Phys Rev E 77:051124
Deboeuf S, Katzav E, Boudaoud A, Bonn D, Adda-Bedia M (2013) Comparative study of crumpling and folding of thin sheets. Phys Rev Lett 110:104301
Balankin AS, Horta A, García G, Gayosso F, Sanchez H, Martínez CL (2013) Fractal features of a crumpling network in randomly folded thin matter and mechanics of sheet crushing. Phys Rev E 87:052806
Bouaziz O, Masse JP, Allain S, Orgéas L, Latil P (2013) Compression of crumpled aluminum thin foils and comparison with other cellular materials. Mater Sci Eng A 570:1–7
Cottrino S, Viviés P, Fabrégue D, Maire E (2014) Mechanical properties of crumpled aluminum foils. Acta Mater 81:98–110
Baimova JÁ, Korznikova EA, Dmitriev SV, Liu B, Zhou K (2014) Review on crumpled graphene: unique mechanical properties. Rev Adv Mater Sci 39:69–83
Korznikova EA, Baimova JA, Dmitriev SV, Korznikov AV, Mulyukov RR (2014) Mechanical behavior of crumpled sheet materials subjected to uniaxial compression. Rev Adv Mater Sci 39:92–98
Kramer EM, Witten TA (1997) Stress condensation in crushed elastic manifolds. Phys Rev Lett 78:1303–1306
Schroll RD, Katifori E, Davidovitch B (2011) Elastic building blocks for confined sheets. Phys Rev Lett 106:074301
Balankin AS, Campos I, Martínez OA, Susarrey O (2007) Scaling properties of randomly folded plastic sheets. Phys Rev E 75:051117
Wang WN, Jiang Y, Biswas P (2012) Evaporation-induced crumpling of graphene oxide nanosheets in aerosolized droplets: confinement force relationship. J Phys Chem Lett 3:3228–3233
Witten TA (2007) Stress focusing in elastic sheets. Rev Mod Phys 79:643–675
Balankin AS, Morales D, Pineda E, Horta A, Martínez MA, Samayoa D (2009) Topological crossovers in the forced folding of self-avoiding matter. Phys A 388:1780–1790
Tallinen T, Aström JA, Timonen J (2009) The effect of plasticity in crumpling of thin sheets. Nat Mater 8:25–29
Aharoni H, Sharon E (2010) Direct observation of the temporal and spatial dynamics during crumpling. Nat Mater 9:993–997
Tallinen T, Aström JA, Kekäläinen P, Timonen J (2010) Mechanical and Thermal Stability of Adhesive Membranes with Nonzero Bending Rigidity. Phys Rev Lett 105:026103
Liou SF, Lo ChCh, Chou MH, Hsiao PY, Hong TM (2014) Effect of ridge-ridge interactions in crumpled thin sheets. Phys Rev E 89:022404
Balankin AS, Flores L (2015) Edwards’s statistical mechanics of crumpling networks in crushed self-avoiding sheets with finite bending rigidity. Phys Rev E 91:032109
Aström JA, Timonen J, Karttunen M (2004) Crumpling of a Stiff Tethered Membrane. Phys Rev Lett 93:244301
Balankin AS, Susarrey O, Cortes R, Samayoa D, Martínez J, Mendoza MA (2006) Intrinsically anomalous roughness of randomly crumpled thin sheets. Phys Rev E 74:061602
Gomes MAF, Donato CC, Campello SL, De Souza RE, Cassia-Moura R (2007) Structural properties of crumpled cream layers. J Phys D 40:3665–3669
Tallinen T, Aström JA, Timonen J (2008) Deterministic folding in stiff elastic membranes. Phys Rev Lett 101:106101
Balankin AS, Matías S, Samayoa D, Patiño J, Espinoza B, Martínez-González CL (2011) Slow kinetics of water escape from randomly folded foils. Phys Rev E 83:036310
Cambou AD, Menon N (2011) Three-dimensional structure of a sheet crumpled into a ball. PNAS 108:14741–14745
Cranford SW, Buehler MJ (2011) Packing efficiency and accessible surface area of crumpled graphene. Phys Rev B 84:205451
Lin YC, Wang YL, Liu Y, Hong TM (2008) Crumpling under an ambient pressure. Phys Rev Lett 101:125504
Bai W, Lin YCh, Hou TK, Hong TM (2010) Scaling relation for a compact crumpled thin sheet. Phys Rev E 82:066112
Baimova JA, Liu B, Dmitriev SV, Zhou K (2015) Mechanical properties of crumpled graphene under hydrostatic and uniaxial compression. J Phys D 48:095302
Balankin AS, Samayoa D, Pineda E, Cortes R, Horta A, Martínez MA (2008) Power law scaling of lateral deformations with universal Poisson’s index for randomly folded thin sheets. Phys Rev B 77:125421
Seizilles G, Bayart E, Adda-Bedia M, Boudaoud A (2011) Bending waves in crumpled sheets. Phys Rev E 84:065602(R)
Kramer E, Lobkovsky AE (1996) Universal power law in the noise from a crumpled elastic sheet. Phys Rev E 53:1465–1469
Houle PA, Sethna JP (1996) Acoustic emission from crumpling paper. Phys Rev E 54:278–283
Mendes RS, Malacarne LC, Santos RPB, Ribeiro HV, Picoli S (2010) Earthquake-like patterns of acoustic emission in crumpled plastic sheets. EPL 92:29001
Abobaker M, Bouaziz O, Lebyodkin M, Lebedkina A, Shashkov IV (2015) Avalanche dynamics in crumpled aluminum thin foils. Scr Mater 99:17–20
Albuquerque RF, Gomes MAF (2002) Stress relaxation in crumpled surfaces. Phys A 310:377–383
Susarrey O, Nuñez MM, Tamayo P, Balankin AS (2009) Mechanics of randomly folded thin materials. Adv Mater Res 65:33–38
Dierking I, Archer P (2008) Sudden ridge collapse in the stress relaxation of thin crumpled polymer films. Phys Rev E 77:051608
Balankin AS, Susarrey O, Hernández F, Patiño J (2011) Slow dynamics of stress and strain relaxation in randomly crumpled elasto-plastic sheets. Phys Rev E 84:021118
Balankin AS, Susarrey O, Tapia V (2013) Statistics of energy dissipation and stress relaxation in a crumpling network of randomly folded aluminum foils. Phys Rev E 88:032402
Balankin AS, Susarrey O (2009) Fractal geometry and mechanics of randomly folded thin sheets. In: Borodich M (ed) IUTAM Symposium on Scaling in Solid Mechanics, IUTAM Bookseries, Vol.10, pp 233–241
Hui Ch, Zhang Y, Zhang L, Sun R, Liu F (2013) Crumpling of a pyrolytic graphite sheet. J Appl Phys 114:163512
Hwang SJ, Lee YD, Park YB, Lee JH, Jeong ChO, Joo YCh (2006) In situ study of stress relaxation mechanisms of pure Al thin films during isothermal annealing. Scr Mater 54:1841–1846
Warburton SC, Donald AM, Smith AC (1992) Structure and mechanical properties of brittle starch foams. J Mater Sci 27:1469–1474. doi:10.1007/BF00542905
Zhou J, Allameh S, Soboyejo WO (2005) Microscale testing of the strut in open cell aluminum foams. J Mater Sci 40:429–439. doi:10.1007/s10853-005-6100-8
Meza LR (2014) Greer JR (2014) Mechanical characterization of hollow ceramic nanolattices. J Mater Sci 49:2496–2508. doi:10.1007/s10853-013-7945-x
Gibson LJ, Ashby MF (1999) Cellular Solids: Structure and Properties, 2nd edn. Cambridge University Press, Cambridge
McCullough KYG, Fleck NA, Ashby MF (1999) Uniaxial stress–strain behaviour of aluminium alloy foams. Acta Mater 47:2323–2330
Fusheng H, Zhengang Z (1999) The mechanical behavior of foamed aluminum. J Mater Sci 34:291–299. doi:10.1023/A:1004401521842
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This work was supported by the PEMEX under the research SENER-CONACYT Grant No. 143927.
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Balankin, A.S., Cruz, M.A.M., Caracheo, L.A.A. et al. Mechanical properties and relaxation behavior of crumpled aluminum foils. J Mater Sci 50, 4749–4761 (2015). https://doi.org/10.1007/s10853-015-9030-0
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DOI: https://doi.org/10.1007/s10853-015-9030-0