Malmö University Publications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Indentation mapping of stretched adhesive membranes
Malmö University, Faculty of Technology and Society (TS), Department of Materials Science and Applied Mathematics (MTM). Malmö University, Biofilms Research Center for Biointerfaces. Technische Universität Berlin.ORCID iD: 0000-0003-4054-3854
2021 (English)In: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, E-ISSN 1471-2946, Vol. 477, no 2251, article id 20210349Article in journal (Refereed) Published
Abstract [en]

Unilateral adhesive contact between a rigid indenter and a uniformly stretched membrane of arbitrary shape is considered. The generalized Johnson-Kendall-Roberts (JKR)-type and Derjaguin- Muller-Toporov (DMT)-type models of non-axisymmetric adhesive contact are presented for short- and long-range adhesion, respectively, and the JKR-DMT transition is established in the framework of the generalized Maugis-Dugdale model. A refined method of matched asymptotic expansions is applied to construct the leading-order asymptotic model for indentation mapping of freestanding two-dimensional materials with an axisymmetric probe, using the approximate analytical solution obtained in explicit form for an infinite membrane in the limit of short-range adhesive contact with an indenter in the form of an elliptic paraboloid. The cases of a spherical indenter and a rectangular membrane are studied in detail.

Place, publisher, year, edition, pages
The Royal Society , 2021. Vol. 477, no 2251, article id 20210349
Keywords [en]
indentation testing, elastic membrane, adhesive contact, JKR-type contact, two-dimensional materials, asymptotic model
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:mau:diva-44870DOI: 10.1098/rspa.2021.0349ISI: 000674656000001Scopus ID: 2-s2.0-85113536748OAI: oai:DiVA.org:mau-44870DiVA, id: diva2:1585511
Available from: 2021-08-17 Created: 2021-08-17 Last updated: 2024-02-05Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records

Argatov, Ivan I

Search in DiVA

By author/editor
Argatov, Ivan I
By organisation
Department of Materials Science and Applied Mathematics (MTM)Biofilms Research Center for Biointerfaces
In the same journal
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
Applied Mechanics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 30 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf