Article (Scientific journals)
Atomistically-informed continuum modeling and isogeometric analysis of 2D materials over holey substrates
Choi, Moon-Ki; Pasetto, Marco; Shen, Zhaoxiang et al.
2023In Journal of the Mechanics and Physics of Solids, 170, p. 105100
Peer Reviewed verified by ORBi


Full Text
Author preprint (32.81 MB)
(42.7 MB) Creative Commons License - Attribution, Non-Commercial, No Derivative
Request a copy

All documents in ORBilu are protected by a user license.

Send to


Keywords :
2D materials; Molybdenum disulfide; Holey substrate; van der Waals interaction; Kirchhoff–Love shell; Isogeometric analysis
Abstract :
[en] This work develops, discretizes, and validates a continuum model of a molybdenum disulfide (MoS2) monolayer interacting with a periodic holey silicon nitride (Si3N4) substrate via van der Waals (vdW) forces. The MoS2 layer is modeled as a geometrically nonlinear Kirchhoff–Love shell, and vdW forces are modeled by a Lennard-Jones (LJ) potential, simplified using approximations for a smooth substrate topography. Both the shell model and LJ interactions include novel extensions informed by close comparison with fully-atomistic calculations. The material parameters of the shell model are calibrated by comparing small-strain tensile and bending tests with atomistic simulations. This model is efficiently discretized using isogeometric analysis (IGA) for the shell structure and a pseudo-time continuation method for energy minimization. The IGA shell model is validated against fully-atomistic calculations for several benchmark problems with different substrate geometries. Agreement with atomistic results depends on geometric nonlinearity in some cases, but a simple isotropic St.Venant–Kirchhoff model is found to be sufficient to represent material behavior. We find that the IGA discretization of the continuum model has a much lower computational cost than atomistic simulations, and expect that it will enable efficient design space exploration in strain engineering applications. This is demonstrated by studying the dependence of strain and curvature in MoS2 over a holey substrate as a function of the hole spacing on scales inaccessible to atomistic calculations. The results show an unexpected qualitative change in the deformation pattern below a critical hole separation.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Choi, Moon-Ki 
Pasetto, Marco 
Shen, Zhaoxiang   ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Tadmor, Ellad B.
Kamensky, David
 These authors have contributed equally to this work.
External co-authors :
Language :
Title :
Atomistically-informed continuum modeling and isogeometric analysis of 2D materials over holey substrates
Publication date :
January 2023
Journal title :
Journal of the Mechanics and Physics of Solids
Publisher :
Elsevier, Netherlands
Volume :
Pages :
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 04 November 2022


Number of views
70 (8 by Unilu)
Number of downloads
24 (3 by Unilu)

Scopus citations®
Scopus citations®
without self-citations
WoS citations


Similar publications

Contact ORBilu