Table 2.

List of damage consolidation functions.

Method	Consolidate Condition
Arithmetic mean	${\mathrm{d}}_{\mathrm{i}}={\mathrm{d}}_{\mathrm{i},\mathrm{a}}$	$\mathrm{i}=\left\{1,2\right\}$
Weighted mean	${\mathrm{d}}_{\mathrm{i}}=\left\{\begin{array}{cc}0,& {\mathrm{if} \Vert \mathrm{d}\Vert }_{\mathrm{i}}=0\\ {\mathrm{d}}_{\mathrm{i},\mathrm{w}},& {\mathrm{if} \Vert \mathrm{d}\Vert }_{\mathrm{i}}>1\end{array}\right.$
Maximum	${\mathrm{d}}_{\mathrm{i}}=\mathrm{Max}\left\{{\mathrm{d}}_{\mathrm{i}}^{+}, {\mathrm{d}}_{\mathrm{i}}^{-}\right\}$
Product function	${\mathrm{d}}_{\mathrm{i}}=1-\left(1-{\mathrm{d}}_{\mathrm{i}}^{+}\right)\left(1-{\mathrm{d}}_{\mathrm{i}}^{-}\right)$
Shear function	${\mathrm{d}}_{\mathrm{ij}}=1-\left(1-{\mathrm{d}}_{\mathrm{i}}\right)\left(1-{\mathrm{d}}_{\mathrm{j}}\right)$	$\mathrm{i},\mathrm{j}=\left\{1,2\right\}; \mathrm{i}\ne \mathrm{j}$ $\mathrm{i},\mathrm{j}=\left\{1,3\right\}; \mathrm{i}\ne \mathrm{j}$ $\mathrm{i},\mathrm{j}=\left\{2,3\right\}; \mathrm{i}\ne \mathrm{j}$