Elastic deformation behavior of freestanding MoS2 films using a continuum approach

H. R. Noori, E. Jomehzadeh, N. Alajlan, Timon Rabczuk

Research output: Contribution to journalArticle

Abstract

In this paper, an approximate solution based on the continuum mechanics is presented to obtain the mechanical response of freestanding single and two layers molybdenum disulfide (MoS2) films. Both circular and rectangular geometries as well as point load and uniform pressure are investigated. The partial differential equilibrium equations are established based on the non-linear Föppl membrane theory for both circular and rectangular films. The Galerkin method is then employed to solve the non-linear partial differential equilibrium equations in case of circular films. Also, the principle of virtual work affords another means of obtaining an approximate solution for rectangular film. Theoretical predictions for the width of membrane regions enable us to estimate the analytical deflection and stress distributions. Finally, the obtained results are compared to the available experimental and theoretical results and a good agreement is seen. It can be concluded that the continuum approach can be used to study the behavior of the MoS2 films.

Original languageEnglish
Pages (from-to)24-31
Number of pages8
JournalSolid State Communications
Volume280
DOIs
Publication statusPublished - 2018 Oct 1
Externally publishedYes

Fingerprint

elastic deformation
Elastic deformation
continuums
equilibrium equations
molybdenum disulfides
Membranes
continuum mechanics
Continuum mechanics
Galerkin method
Galerkin methods
structural analysis
stress distribution
Molybdenum
Stress concentration
deflection
membranes
Geometry
estimates
geometry
predictions

Keywords

  • Continuum approach
  • Elastic deformation
  • Molybdenum disulfide

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics
  • Materials Chemistry

Cite this

Elastic deformation behavior of freestanding MoS2 films using a continuum approach. / Noori, H. R.; Jomehzadeh, E.; Alajlan, N.; Rabczuk, Timon.

In: Solid State Communications, Vol. 280, 01.10.2018, p. 24-31.

Research output: Contribution to journalArticle

Noori, H. R. ; Jomehzadeh, E. ; Alajlan, N. ; Rabczuk, Timon. / Elastic deformation behavior of freestanding MoS2 films using a continuum approach. In: Solid State Communications. 2018 ; Vol. 280. pp. 24-31.
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