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

Table 3

Finite element modeling of CNT and polymer interaction.

Researcher(s)	Year	Interface or interphase	Type of interaction	Thickness	𝐸int and 𝐺int	Element
Haque and Ramasetty [21]	2005	Interface	Perfect	N/A	N/A	N/A
Wan et al. [27]	2005	Interphase	Perfect	1.357 nm	10 × 𝐸𝑚 and 0.3 × 𝐸𝑚	N/A
Li and Chou [23]	2006	Interphase	vdW	0.17 nm	Derived from LJ potential	Truss rod
Pourakbar et al. [24]	2008	Interphase	Functionalized	1.522 nm	From MD	Beam
Giannopoulos et al. [25]	2009	Interphase	vdW	0.17 nm	Parametric	Joint element
Montazeri and Naghdabadi [26]	2009	Interphase	vdW	0.34 nm	Derived from LJ potential	Spring
Kulkarni et al. [22]	2010	Interface	Perfect	0	Different value	Interface element
Needleman et al. [28]	2010	Interphase and interface	Perfect	Variable	Linearly between 𝐸𝑚 and 𝐸𝑛	N/A
Shokrieh and Rafiee [29]	2010	Interphase	vdW	0.17 nm	Derived from LJ potential	Nonlinear spring
Ayatollahi et al. [30]	2011	Interphase	Perfect	0.15 nm	1, 5, 10 and 15 GPa	Solid
Wernik and Meguid [31]	2011	Interphase	vdW	0.38 nm	Derived from LJ potential	Truss rod