Table 1.

A summary of the models * used for elastic modulus prediction.

Models	Equations	Parameters *	Use	Effect of $\mathit{T}\mathbf{,}\mathit{f}\mathbf{/}\dot{\mathit{\epsilon }}$
Mahieux and Reifsnider model	Equation (1)	$m_i,E_i,T_{\beta }, T_g,T_f$	Polymers	Account for the effect of $T$
Richeton model	Equation (2) for storage modulus Equation (3) for Young’s modulus	$E_i\left(\dot{\epsilon }/f\right)$ $T_{\beta }\left(\dot{\epsilon }/f\right),$ $T_g\left(\dot{\epsilon }/f\right),$ $T_f\left(\dot{\epsilon }/f\right)$	Polymers	Account for the effects of $T,f/\dot{\epsilon }$
Halpin-Tsai model	Equation (9)	$\xi ,E_f,{\phi }_f$	Polymer nanocomposites	Doesn’t account for the effects of $T,f/\dot{\epsilon }$
RJ model	Equation (15)	${\phi }_f,\tau /t_c,h$ $E_f$	Polymer nanocomposites	Account for the effects of $T,f/\dot{\epsilon }$
RTW model	Equation (17)	${\phi }_f{v}_m, A_{i3}$ $,A_{i4}$ $,A_{i5}$ $,A_i$	Polymer nanocomposites	Account for the effects of $T,f/\dot{\epsilon }$
Alasfar and co-workers’ model	Equation (43) Equation (44)	${\phi }_p, n$ in addition to parameters of the Richeton and RJ models	Porous polymers Porous polymer nanocomposites	Account for the effects of $T,f/\dot{\epsilon }$

* The material parameters in the models are usually measured experimentally, but some are parameters that are used as fitting parameters. The parameters in this table are defined within the paper.