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Lattice and continuum based modeling of 2D materials
Synthesis, Modeling, and Characterization of 2D Materials, and Their Heterostructures, Pages: 165 - 177
Swansea University Author: Sondipon Adhikari
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DOI (Published version): 10.1016/b978-0-12-818475-2.00009-x
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 m...
| Published in: | Synthesis, Modeling, and Characterization of 2D Materials, and Their Heterostructures |
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| ISBN: | 9780128184752 |
| Published: |
Elsevier
2020
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa54594 |
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| 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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| Keywords: |
Hexagonal nanostructures; Young’s modulus; shear modulus; Poisson’s ratio; analytical closed-form formula; egraphene; MoS2 |
| Start Page: |
165 |
| End Page: |
177 |