Lattice and continuum based modeling of 2D materials
Lattice and continuum based modeling of 2D materials
Hexagonal lattice-like structural forms are present in the nanostructures of several two-dimensional materials. The effective mechanical properties of these materials can be expressed on the basis of an equivalent continuum-based assumption. We focus on nanoscale analysis of the structures of such materials in this chapter based on a generalized analytical approach leading to closed-form formulae for the elastic moduli. Two different classes of single-layer materials (monoplanar and multiplanar) from a structural point of view are considered to demonstrate the results using these analytical formulae. The physics-based high-fidelity analytical models presented in this chapter are capable of obtaining the elastic properties in a computationally efficient manner for wide range of materials with hexagonal nanostructures.
Analytical closed-form formulae, Graphene, Hexagonal nanostructures, MoS, Poisson’s ratio, Shear modulus, Young’s modulus
165-177
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Mahata, A.
1af2dde8-0a7a-453c-824f-aac24d25af50
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
1 January 2020
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Mahata, A.
1af2dde8-0a7a-453c-824f-aac24d25af50
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
Mukhopadhyay, T., Mahata, A. and Adhikari, S.
(2020)
Lattice and continuum based modeling of 2D materials.
In,
Synthesis, Modelling and Characterization of 2D Materials and their Heterostructures.
Elsevier, .
(doi:10.1016/B978-0-12-818475-2.00009-X).
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Book Section
Abstract
Hexagonal lattice-like structural forms are present in the nanostructures of several two-dimensional materials. The effective mechanical properties of these materials can be expressed on the basis of an equivalent continuum-based assumption. We focus on nanoscale analysis of the structures of such materials in this chapter based on a generalized analytical approach leading to closed-form formulae for the elastic moduli. Two different classes of single-layer materials (monoplanar and multiplanar) from a structural point of view are considered to demonstrate the results using these analytical formulae. The physics-based high-fidelity analytical models presented in this chapter are capable of obtaining the elastic properties in a computationally efficient manner for wide range of materials with hexagonal nanostructures.
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Published date: 1 January 2020
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© 2020 Elsevier Ltd All rights reserved.
Keywords:
Analytical closed-form formulae, Graphene, Hexagonal nanostructures, MoS, Poisson’s ratio, Shear modulus, Young’s modulus
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Local EPrints ID: 483575
URI: http://eprints.soton.ac.uk/id/eprint/483575
PURE UUID: 0f32d3a5-0483-4826-b461-8cd4ef2ebbd9
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Date deposited: 01 Nov 2023 18:02
Last modified: 18 Mar 2024 04:10
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Author:
T. Mukhopadhyay
Author:
A. Mahata
Author:
S. Adhikari
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