Computational study of compressive loading of carbon nanotubes using quasi-continuum method

Yang, Yang; Liou, William W.

doi:10.1016/j.jocs.2011.01.003

Cited by 4 publications

(3 citation statements)

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“…The CB rule has successfully studied CNT buckling behaviour under compressive loads, revealing a direct influence of the chiral angle on buckling strain. 111 Equation (8), (9), and (10) primarily describe this rule.where F is a deformation gradient tensor, a denotes the undeformed lattice vector and b represents the corresponding deformed lattice vector. b′ and a′ are the neighbouring deformed and undeformed lattice vector.…”

Section: Modelling Methodologymentioning

confidence: 99%

mentioning

confidence: 99%

“…This rule has been used to investigate the mechanical properties of CNTs through a nanoscale continuum theory. [111][112][113][114] CNT modelled as a macroscopic generalised continuum is shown in Figure 8., which depicts the conversion of a curved film configuration to a planar one using a representative unit cell (RUC). The hyper-elastic constitutive law for this generalised continuum can be obtained from the expressions provided previously.…”

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confidence: 99%

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Mechanical behaviour of carbon nanotube composites: A review of various modelling techniques

Sahu,

Harursampath,

Ponnusami

2023

Journal of Composite Materials

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This study aims to review and highlight the important modelling methodologies used for studying carbon nanotubes (CNTs) and their composites. Understanding appropriate modelling methods for specific applications is crucial as CNTs become integral in achieving lighter, multifunctional composite structures. This paper explores a range of techniques, including finite element modelling (FEM), Molecular Dynamics (MD), Molecular Structural Mechanics (MSM), as well as nonlocal models, and the Cauchy-Born (CB) rule. Emphasis is placed on factors such as interphase effects between CNTs and the matrix, bonding interactions, non-bonded van der Waals (vdW) forces, and dynamic behaviour. Multiscale modelling is extensively discussed as a pivotal approach for efficiently addressing various length scales in nanocomposites. Modelling of failure, damage and its propagation, delamination, and instabilities such as buckling and fracture have been highlighted, and research gaps have been pointed out.

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