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Indentation of suspended two-dimensional solids: The signatures of geometrical and material nonlinearity

Abstract:
The material characterization of ultra-thin solid sheets, including two-dimensional materials like graphene, is often performed through indentation tests on a flake suspended over a hole in a substrate. While this ‘suspended indentation’ is a convenient means of measuring properties such as the stretching (two-dimensional) modulus of such materials, experiments on ostensibly similar systems have reported very different material properties. In this paper, we present a modelling study of this indentation process assuming elastic behaviour. In particular, we investigate the possibility that the reported differences may arise from different geometrical parameters and/or non-Hookean deformations, which lead to the system exploring nonlinearities with geometrical or material origins.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jmps.2020.104109

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-1341-8863


Publisher:
Elsevier
Journal:
Journal of the Mechanics and Physics of Solids More from this journal
Volume:
144
Article number:
104109
Publication date:
2020-08-07
Acceptance date:
2020-08-05
DOI:
ISSN:
0022-5096


Language:
English
Keywords:
Pubs id:
1123596
Local pid:
pubs:1123596
Deposit date:
2020-08-05

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