[Flambement localisé de bandes sous traction]
In some cases, a tensile load may induce small compressive stresses and buckling phenomenon. In this Note, we present an analytical study of the buckling of long stretched plates. From this analytical model, one explains the wavelength selection and establishes that the in-plane stress localisation induces the mode localisation. Comparison with numerical results shows a good agreement.
Cet article porte sur le flambement de bandes longues induit par des contraintes compressives secondaires apparaissant lors de l'application d'un chargement de traction. Un modèle analytique a été mis au point. Il permet d'expliquer la forme caractéristique des modes lors de ce type de flambement. Elle est principalement due à la localisation des contraintes compressives et à l'existence d'un mécanisme de sélection des longueurs d'onde. Ces résultats sont validés par des calculs par éléments finis.
Accepté le :
Publié le :
Mots-clés : Solides et structures, Flambement localisé, Plaques minces, Sélection des longueurs d'ondes
Nicolas Jacques 1 ; Michel Potier-Ferry 1
@article{CRMECA_2005__333_11_804_0, author = {Nicolas Jacques and Michel Potier-Ferry}, title = {On mode localisation in tensile plate buckling}, journal = {Comptes Rendus. M\'ecanique}, pages = {804--809}, publisher = {Elsevier}, volume = {333}, number = {11}, year = {2005}, doi = {10.1016/j.crme.2005.10.013}, language = {en}, }
Nicolas Jacques; Michel Potier-Ferry. On mode localisation in tensile plate buckling. Comptes Rendus. Mécanique, Volume 333 (2005) no. 11, pp. 804-809. doi : 10.1016/j.crme.2005.10.013. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.10.013/
[1] K. Yoshida, J. Hayashi, M. Hirata, Yoshida buckling test, IDDRG, Kyoto, Japan, 1981
[2] Theory of Elasticity, McGraw-Hill, 1982
[3] Buckling of stretched strips, Comput. Struct., Volume 78 (2000), pp. 185-190
[4] Buckling phenomena related to rolling and levelling of sheet metal, Int. J. Mech. Sci., Volume 42 (2000), pp. 1887-1910
[5] Geometry and physics of wrinkling, Phys. Rev. Lett., Volume 90 (2003), p. 074302
- From bending to stretching driven peeling of heterogeneous adhesives, Journal of the Mechanics and Physics of Solids, Volume 202 (2025), p. 106165 | DOI:10.1016/j.jmps.2025.106165
- Buckling of stretched strips - reconsidered and extended, Computers Structures, Volume 290 (2024), p. 107193 | DOI:10.1016/j.compstruc.2023.107193
- Torsional instabilities and morphology transitions in clamped ribbons under pretension, European Journal of Mechanics. A. Solids, Volume 105 (2024), p. 9 (Id/No 105249) | DOI:10.1016/j.euromechsol.2024.105249 | Zbl:1545.74021
- Wrinkle-free membranes with optimized holes, International Journal of Mechanical Sciences, Volume 268 (2024), p. 109019 | DOI:10.1016/j.ijmecsci.2024.109019
- Tension-Induced Localized Wrinkling in a Patched Thin Film Supported by an Elastomer, Langmuir, Volume 40 (2024) no. 1, p. 133 | DOI:10.1021/acs.langmuir.3c02282
- Analysis of Structural Boundary Effects of Copper-Coated Films and Their Application to Space Antennas, Coatings, Volume 13 (2023) no. 9, p. 1612 | DOI:10.3390/coatings13091612
- Stretch-induced wrinkling analysis of thin sheets with splines, International Journal for Numerical Methods in Engineering, Volume 124 (2023) no. 9, pp. 2014-2033 | DOI:10.1002/nme.7198 | Zbl:1532.74134
- A separation-of-variable method for the wrinkling problems of orthotropic rectangular stretched sheets, Composite Structures, Volume 300 (2022), p. 116104 | DOI:10.1016/j.compstruct.2022.116104
- Buckling of stretched disks—With comparisons and extensions to auxetics, International Journal of Mechanical Sciences, Volume 213 (2022), p. 106876 | DOI:10.1016/j.ijmecsci.2021.106876
- Competition between Mullins and curvature effects in the wrinkling of stretched soft shells, International Journal of Solids and Structures, Volume 241 (2022), p. 111473 | DOI:10.1016/j.ijsolstr.2022.111473
- Analysis of membrane instability with a two-parameter extended system, International Journal of Solids and Structures, Volume 249 (2022), p. 111693 | DOI:10.1016/j.ijsolstr.2022.111693
- On the stability of the helicoidal configuration in ribbons subjected to combined traction and twist, International Journal of Solids and Structures, Volume 250 (2022), p. 111692 | DOI:10.1016/j.ijsolstr.2022.111692
- A General Theory and Analytical Solutions for Post-Buckling Behaviors of Thin Sheets, Journal of Applied Mechanics, Volume 89 (2022) no. 6 | DOI:10.1115/1.4053990
- Mechanics of tension-induced film wrinkling and restabilization: a review, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Volume 478 (2022) no. 2263 | DOI:10.1098/rspa.2022.0149
- Wrinkling and restabilization of a hyperelastic PDMS membrane at finite strain, Soft Matter, Volume 18 (2022) no. 29, p. 5465 | DOI:10.1039/d2sm00406b
- A consistent finite-strain plate model for wrinkling of stretched anisotropic hyperelastic films, Thin-Walled Structures, Volume 179 (2022), p. 109643 | DOI:10.1016/j.tws.2022.109643
- Computing wrinkling and restabilization of stretched sheets based on a consistent finite-strain plate theory, Computer Methods in Applied Mechanics and Engineering, Volume 384 (2021), p. 17 (Id/No 113986) | DOI:10.1016/j.cma.2021.113986 | Zbl:1506.74196
- Curvature tunes wrinkling in shells, International Journal of Engineering Science, Volume 164 (2021), p. 20 (Id/No 103490) | DOI:10.1016/j.ijengsci.2021.103490 | Zbl:1549.74431
- Critical geometric boundary for the design of wrinkling-free thin film samples in the elastic regime of a uniaxial tensile test, International Journal of Mechanical Sciences, Volume 204 (2021), p. 106485 | DOI:10.1016/j.ijmecsci.2021.106485
- Generation of buckling and wrinkling in elastic films: The effect of initial imperfection, Physical Review E, Volume 104 (2021) no. 5 | DOI:10.1103/physreve.104.055002
- A finite strain model predicts oblique wrinkles in stretched anisotropic films, International Journal of Engineering Science, Volume 155 (2020), p. 14 (Id/No 103354) | DOI:10.1016/j.ijengsci.2020.103354 | Zbl:1549.74432
- A new modal theory for wrinkling analysis of stretched membranes, International Journal of Mechanical Sciences, Volume 175 (2020), p. 105519 | DOI:10.1016/j.ijmecsci.2020.105519
- Mode transitions in buckling and post-buckling of stretched-twisted strips, International Journal of Non-Linear Mechanics, Volume 127 (2020), p. 103609 | DOI:10.1016/j.ijnonlinmec.2020.103609
- Wrinkling and smoothing of a soft shell, Journal of the Mechanics and Physics of Solids, Volume 134 (2020), p. 20 (Id/No 103738) | DOI:10.1016/j.jmps.2019.103738 | Zbl:1481.74520
- Hidden asymptotic symmetry in a long elastic structure, SIAM Journal on Applied Mathematics, Volume 80 (2020) no. 3, pp. 1083-1100 | DOI:10.1137/19m125162x | Zbl:1434.74026
- The boundary effects on stretch-induced membrane wrinkling, Thin-Walled Structures, Volume 154 (2020), p. 106838 | DOI:10.1016/j.tws.2020.106838
- Mechanical behavior of thin films due to in-plane tensile and fatigue loadings, AIP Advances, Volume 9 (2019) no. 5 | DOI:10.1063/1.5088848
- Orientable wrinkles in stretched orthotropic films, Extreme Mechanics Letters, Volume 33 (2019), p. 100579 | DOI:10.1016/j.eml.2019.100579
- On the wrinkling and restabilization of highly stretched sheets, International Journal of Engineering Science, Volume 136 (2019), pp. 1-16 | DOI:10.1016/j.ijengsci.2018.12.002 | Zbl:1425.74309
- Multiscale analysis of membrane instability by using the Arlequin method, International Journal of Solids and Structures, Volume 162 (2019), p. 60 | DOI:10.1016/j.ijsolstr.2018.11.023
- A modeling and resolution framework for wrinkling in hyperelastic sheets at finite membrane strain, Journal of the Mechanics and Physics of Solids, Volume 124 (2019), p. 446 | DOI:10.1016/j.jmps.2018.11.005
- Buckling of elastic structures under tensile loads, Acta Mechanica, Volume 229 (2018) no. 2, p. 881 | DOI:10.1007/s00707-017-2006-1
- Deformation Mechanism of Poly(3-alkylthiophene) Studied by in Situ X-ray Scattering and Texture Analysis, Macromolecules, Volume 51 (2018) no. 20, p. 8306 | DOI:10.1021/acs.macromol.8b01223
- Wrinkling of stretched thin sheets: Is restrained Poisson’s effect the sole cause?, Engineering Structures, Volume 106 (2016), p. 195 | DOI:10.1016/j.engstruct.2015.09.035
- Stability boundaries for wrinkling in highly stretched elastic sheets, Journal of the Mechanics and Physics of Solids, Volume 97 (2016), p. 260 | DOI:10.1016/j.jmps.2015.12.001
- Macroscopic simulation of membrane wrinkling for various loading cases, International Journal of Solids and Structures, Volume 64-65 (2015), p. 246 | DOI:10.1016/j.ijsolstr.2015.04.003
- Finite axisymmetric deformation of an inflatable anisotropic toroidal membrane, Shell and membrane theories in mechanics and biology. From macro- to nanoscale structures. Selected papers based on the presentations at the first international conference, SMT in MB 2013, Minsk, Belarus, September 16–20, 2013, Cham: Springer, 2015, pp. 169-186 | DOI:10.1007/978-3-319-02535-3_10 | Zbl:1308.74088
- Thermal wrinkling of thin membranes using a Fourier-related double scale approach, Thin-Walled Structures, Volume 94 (2015), p. 532 | DOI:10.1016/j.tws.2015.04.034
- Membrane wrinkling revisited from a multi-scale point of view, Advanced Modeling and Simulation in Engineering Sciences, Volume 1 (2014) no. 1 | DOI:10.1186/2213-7467-1-6
- Stretch-induced wrinkling of polyethylene thin sheets: Experiments and modeling, International Journal of Solids and Structures, Volume 51 (2014) no. 9, p. 1847 | DOI:10.1016/j.ijsolstr.2014.01.028
- MICRO-FINITE ELEMENT MODELING OF WRINKLE FORMATION FOR CELL LOCOMOTION APPLICATIONS, Journal of Mechanics in Medicine and Biology, Volume 13 (2013) no. 01, p. 1350019 | DOI:10.1142/s021951941350019x
- Wrinkling behavior of highly stretched rectangular elastic films via parametric global bifurcation, Journal of Nonlinear Science, Volume 23 (2013) no. 5, pp. 777-805 | DOI:10.1007/s00332-013-9168-3 | Zbl:1292.35034
- Stretch-induced stress patterns and wrinkles in hyperelastic thin sheets, International Journal of Solids and Structures, Volume 48 (2011) no. 25-26, p. 3471 | DOI:10.1016/j.ijsolstr.2011.09.004
- Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending, Journal of Engineering Mathematics, Volume 63 (2009) no. 2-4, pp. 327-338 | DOI:10.1007/s10665-007-9196-9 | Zbl:1160.74022
- Buckling and wrinkling during strip conveying in processing lines, Journal of Materials Processing Technology, Volume 190 (2007) no. 1-3, p. 33 | DOI:10.1016/j.jmatprotec.2007.03.117
- Mode localization and frequency loci veering in a disordered coupled beam system, Structural Engineering and Mechanics, Volume 24 (2006) no. 4, p. 493 | DOI:10.12989/sem.2006.24.4.493
Cité par 46 documents. Sources : Crossref, zbMATH
Commentaires - Politique