Table 4.

Existing bond–slip models.

Constitutive Model	Interface Stiffness (K0)	Maximum Shear Stress (τmax)	Fracture Energy (Gf)	Notation
Obaidat et al. [34]	$0.16{\displaystyle \frac{{\mathrm{G}}_{\mathrm{a}}}{{\mathrm{t}}_{\mathrm{a}}}}+0.47$	$1.46{ \mathrm{G}}_{\mathrm{a}}^{0.165}{\mathrm{f}}_{\mathrm{ct}}^{1.033}$	$0{.52 \mathrm{f}}_{\mathrm{ct}}^{0.26}{\mathrm{G}}_{\mathrm{a}}^{-0.23}$
Dai et al. [56]	$40.08 {\left(\mathrm{f}{\text{'}}_{\mathrm{c}}\right)}^{0.236}$	$2.67 {\left(\mathrm{f}{\text{'}}_{\mathrm{c}}\right)}^{0.236}$	$0.514 {\left(\mathrm{f}{\text{'}}_{\mathrm{c}}\right)}^{0.236}$
Dai and Ueda [57]	${\mathsf{\alpha } \mathrm{K}}_{\mathrm{a}}$	${\displaystyle \frac{-1.575{\mathsf{\alpha }\mathrm{K}}_{\mathrm{a}}+\sqrt{2.481{\mathsf{\alpha }}^2{\mathrm{K}}_{\mathrm{a}}^2+6.3\mathsf{\alpha }{\mathsf{\beta }}^2{\mathrm{K}}_{\mathrm{a}}{\mathrm{G}}_{\mathrm{f}}}}{2\mathsf{\beta }}}$	$7.554{ \mathrm{K}}_{\mathrm{a}}^{-0.449}{\left(\mathrm{f}{\text{'}}_{\mathrm{c}}\right)}^{0.343}$	$\begin{array}{l}\mathsf{\beta }=0.0035{\mathrm{K}}_{\mathrm{a}}{({\mathrm{E}}_{\mathrm{f}}{\mathrm{t}}_{\mathrm{f}}/1000)}^{0.34}\\ \mathsf{\alpha }=0.028{({\mathrm{E}}_{\mathrm{f}}{\mathrm{t}}_{\mathrm{f}}/1000)}^{0.254}\\ {\mathrm{K}}_{\mathrm{a}}={\mathrm{G}}_{\mathrm{a}}/{\mathrm{t}}_{\mathrm{a}}\end{array}$
Lu et al. [58]	76.92	$1{.5 \mathsf{\beta }}_{\mathrm{w}}{\mathrm{f}}_{\mathrm{ct}}$	$0.308 {\mathsf{\beta }}_{\mathrm{w}}^2\sqrt{{\mathrm{f}}_{\mathrm{ct}}}$	${\mathsf{\beta }}_{\mathrm{w}}=\sqrt{{\displaystyle \frac{2.25-{\mathrm{b}}_{\mathrm{f}}{/\mathrm{b}}_{\mathrm{c}}}{1.25+{\mathrm{b}}_{\mathrm{f}}{/\mathrm{b}}_{\mathrm{c}}}}}$
Monti et al. [59]	${\left[2.5\left({\displaystyle \frac{{\mathrm{t}}_{\mathrm{a}}}{{\mathrm{E}}_{\mathrm{a}}}}+{\displaystyle \frac{50}{{\mathrm{E}}_{\mathrm{c}}}}\right)\right]}^{-1}$	$1.8{ \mathrm{k}}_{\mathrm{b}}{\mathrm{f}}_{\mathrm{ct}}$	$0.297{ \mathrm{k}}_{\mathrm{b}}^2{\mathrm{f}}_{\mathrm{ct}}$	${\mathrm{k}}_{\mathrm{b}}=\sqrt{{\displaystyle \frac{1.5(2-{\mathrm{b}}_{\mathrm{f}}{/\mathrm{b}}_{\mathrm{c}})}{1+{\mathrm{b}}_{\mathrm{f}}/100\mathrm{mm}}}}$