Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Computational Mechanics
Erschienen in: Computational Mechanics 1/2015

01.07.2015 | Original Paper

A semi-numerical algorithm for instability of compressible multilayered structures

verfasst von: Shan Tang, Yang Yang, Xiang He Peng, Wing Kam Liu, Xiao Xu Huang, Khalil Elkhodary

Erschienen in: Computational Mechanics | Ausgabe 1/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A computational method is proposed for the analysis and prediction of instability (wrinkling or necking) of multilayered compressible plates and sheets made by metals or polymers under plane strain conditions. In previous works, a basic assumption (or a physical argument) that has been frequently made is that materials are incompressible to simplify mathematical derivations. To account for the compressibility of metals and polymers (the lower Poisson’s ratio leads to the more compressible material), we propose a combined semi-numerical algorithm and finite element method for instability analysis. Our proposed algorithm is herein verified by comparing its predictions with published results in literature for thin films with polymer/metal substrates and for polymer/metal systems. The new combined method is then used to predict the effects of compressibility on instability behaviors. Results suggest potential utility for compressibility in the design of multilayered structures.
Vorheriger Artikel Bifurcations in piecewise-smooth steady-state problems: abstract study and application to plane contact problems with friction
Nächster Artikel On parallelization of the loop over elements in FEAP

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Xu S, Zhang Y, Jia L, Mathewson KE, Jang K, Kim J, Fu H, Huang X, Chava P, Wang R, Bhole S, Wang L, Na YJ, Guan Y, Flavin M, Han Z, Huang Y, Rogers JA (2014) Soft microfluidic assemblies of sensors, circuits and radios for the skin. Science 344:70CrossRef
2.
Zhang Y, Fu H, Xu S, Fan JA, Hwang K, Jiang J, Rogers JA, Huang Y (2014) A hierarchical computational model for stretchable interconnects with fractal-inspired designs. J Mech Phys Solids 72:115CrossRef
3.
Eskil A, Sharon K, Per S (2014) Micro-mechanisms of a laminated packaging material during fracture. Eng Fract Mech 127:313CrossRef
4.
Massimilino F, Arsenio C, Luca E (2014) Delamination onset and design criteria of multilayer flexible packaging under high pressure treatments. Innov Food Sci Emerg Technol 23:39CrossRef
5.
Cohen Y, Albalak RJ, Dair BJ, Capel MS, Thomas EL (2000) Deformation of oriented lamellar block compolymer films. Macromolecules 33:6502CrossRef
6.
Makke A, Perez M, Lame O, Barrat J-L (2012) Nanoscale buckling deformation in layered copolymer materials. PNAS 109:680CrossRef
7.
Jin L, Chen D, Hayward RC, Suo Z (2014) Creases on the interface between two soft materials. Soft Matter 10:303CrossRef
8.
Jiang H, Khang D-Y, Song J, Sun YG, Huang Y, Rogers JA (2007) Finite deformation mechanics in buckled thin films on compliant supports. PNAS 104:15607CrossRef
9.
Wang S, Song J, Kim D-H, Huang Y, Rogers JA (2008) Local versus global buckling of thin films on elastomeric substrates. Appl Phys Lett 93:023126CrossRef
10.
Xiao J, Carlson A, Liu ZJ, Huang Y, Jiang H, Rogers JA (2008) Stretchable and compressible thin films of stiff materials on compliant wavy substrates. Appl Phys Lett 93:013109CrossRef
11.
Song J, Jiang H, Liu ZJ, Khang DY, Huang Y, Rogers JA, Lu C, Koh CG (2008) Buckling of a stiff thin film on a compliant substrate in large deformation. IJSS 45:3107MATH
12.
Jiang H, Sun Y, Rogers JA, Huang Y (2008) Post-buckling analysis for the precisedly controlled buckling of thin film encapsulated by elastomeric substrates. IJSS 45:3858MATH
13.
Jiang H, Khang DY, Fei H, Kim H, Huang Y, Xiao J, Rogers JA (2008) Finite width effect of thin-films buckling on compliant substrate: experimental and theorectical studies. JMPS 56:2585MATHMathSciNet
14.
Yu C, Jiang H (2010) Forming wrinkled stiff film on polymeric substrate at room temperature for stretchable interconnects applications. Thin Solid Films 519:818CrossRef
15.
16.
Cheng H, Zhang Y, Hwang K-C, Rogers JA, Huang Y (2014) Buckling of a stiff thin film on a pre-strained bi-layer substrate. IJSS 51:3113
17.
Li T (2006) Suo Z deformability of thin metal films on elastomer substrate. Int J Solids Struct 43:2351MATHCrossRef
18.
Li T, Suo Z (2007) Ductility of thin metal films on polymer substrates modulated by interfacial adhesion. Int J Solids Struct 44:1696MATHCrossRef
19.
Hutchinson JW (2013) Deformability of thin metal films on elastomer substrate. Math Mech Solids 40:1
20.
Chen D, Cai S, Suo Z, Hayward RC (2012) Surface energy as a barrier to creasing of elastomer films: an elastic analogy to classical nucleation. PRL 109:038001CrossRef
21.
Chan EP, Smith EJ, Hayward RC, Crosby AJ (2008) Surface wrinkles for smart adhesion. Adv Mater 20:711CrossRef
22.
Breid D, Crosby AJ (2009) Effect of stress state on wrinkle morphology. Soft Matter 5:425CrossRef
23.
Lacour SP, Wagner S, Huang ZY, Suo Z (2003) Stretchable gold conductors on elastomeric substrates. Appl Phys Lett 82:2404CrossRef
24.
Harrison C, Stafford CM, Zhang W, Karim A (2004) Sinusoidal phase grating created by a tunably buckled surface. Appl Phys Lett 85:4016CrossRef
25.
Kim JW, Yoon JH, Hayward RC (2010) Dynamic display of biomolecular patterns through an elastic creasing instability of stimuli-responsive hydrogels. Nat. Mater. 9:159CrossRef
26.
Wong WH, Guo TF, Zhang YW, Cheng L (2010) Surface instability maps for soft materials. Soft Matter 6:5743CrossRef
27.
Chen D, Yoon J, Chandra D, Crosby AJ, Hayward RC (2014) Stimuli-responsive buckling mechanics of polymer films. J Polym Sci Part B 52:1441MATHCrossRef
28.
29.
Storen S, Rice JR (1975) Localized necking in thin sheets. J Mech Phys Solids 23:421CrossRef
30.
Dorris JF, Nemat-Nasser S (1980) Instability of a layer on a half space. J Appl Mech 47:304CrossRef
31.
Steif PF (1986) Periodic necking instabilities in layered plastic solids. Int J Solids Struct 22:1571MATHCrossRef
32.
Greaves GN, Greer AL, Lakes RS, Rouxel T (2011) Poisson’s ratio and modern materials. Nat Mater 10:823CrossRef
33.
Petit B, Gey N, Cherkaoui M, Bolle B, Humbert M (2007) Deformation behavior and microstructure/texture evolution of an annealed 304 stainless steel sheet. Experimental and micromechanical modeling. Int J Plast 23:323MATHCrossRef
34.
Chung J, Jeon JB, Chang YW (2010) Work-hardening and ductility enhancement mechanism of cold rolled multiphase TRIP steels. Met Mater Int 16:533CrossRef
35.
Tang S, Ying L, Liu WK, Huang X (2014) Surface ripples of polymeric nanofibers under tension: the crucial role of poisson’s ratio. Macromolecules 47:6503–6514. doi:10.​1021/​ma5012599 CrossRef
36.
Hutchinson JW, Tvergaard V (1980) Surface instability on statically strained plastic solids. Int J Mech Sci 22:339MATHCrossRef
37.
Allen HG (1969) Analysis and design of sandwich panels, 1st edn. Pergammon, New York
38.
Hong W, Zhao X, Suo Z (2009) Deformability of thin metal films on elastomer substrate. Appl Phys Lett 95:111901CrossRef
39.
Hohlfeld E, Mahdevan L (2012) Scale and nature of sulcification patterns. PRL 109:025701CrossRef
40.
41.
42.
Tang S, Greene SM, Liu WK (2012b) Renormalization approach to model interaction in microstructured solids: application to porous elastomer. Comput Methods Appl Mech Eng 213:217–220MathSciNet
43.
Rosati L, Valoroso N (2004) A return map algorithm for general isotropic elasto/visco-plastic materials in principal space. Int J Numer Methods Eng 60:461MATHMathSciNetCrossRef
Metadaten
Titel
A semi-numerical algorithm for instability of compressible multilayered structures
verfasst von
Shan Tang
Yang Yang
Xiang He Peng
Wing Kam Liu
Xiao Xu Huang
Khalil Elkhodary
Publikationsdatum
01.07.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 1/2015
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-015-1155-0

Weitere Artikel der Ausgabe 1/2015

Computational Mechanics 1/2015 Zur Ausgabe

Original Paper

The shifted penalty method

Original Paper

Tangential differential calculus and the finite element modeling of a large deformation elastic membrane problem

Original Paper

An implicit stabilized finite element method for the compressible Navier–Stokes equations using finite calculus

Original Paper

A multi-patch nonsingular isogeometric boundary element method using trimmed elements

Original Paper

A displacement smoothing induced strain gradient stabilization for the meshfree Galerkin nodal integration method

Original Paper

On parallelization of the loop over elements in FEAP

Neuer Inhalt

    Bildnachweise