Challenges of the Modeling Methods for Investigating the Interaction between the CNT and the Surrounding Polymer

Table 2

Conducted analytical modeling of interaction between CNT and polymer.

Researcher(s)	Year	Interface or interphase	Type of interaction	Thickness	Interphase modulus	Method of modeling
Jiang et al. [14]	2006	Interface	vdW	N/A	N/A	Cohesive energy
Tan et al. [15]	2007	Interface	vdW	N/A	Imperfection coefficient	Elasticity
Seidel and Lagoudas [16]	2006	Interphase	Perfect	0.5 × 𝑅NT  to 4 × 𝑅NT	0.1 × 𝐸𝑚  to  10 × 𝐸𝑚	Composite cylinders micromechanics
Tsai and Lu [17]	2009	Interphase	Perfect	0.01 nm	𝐺int = 0.13, 0.286, 4.2, 370 GPa	Elasticity (shear lag)
Nairn [18]	2011	Interface or interphase	Imperfect	N/A	Imperfection coefficient	Shear lag (elasticity)
Shokrieh and Mahdavi [19]	2011	Interphase	vdW	0.17 nm	Function of 𝑙NT and 𝑅NT	Equivalent fiber (elasticity)
Barai and Weng [20]	2011	Interface	Perfect	N/A	Imperfection coefficient	Elasticity