Table 3.

Failure criteria for matrix-dominated compressive failure.

Theory	Description
Hashin	${\displaystyle \left[{\left(\frac{Y_C}{2S_{23}}\right)}^2-1\right]\frac{{\sigma }_{22}+{\sigma }_{33}}{Y_C}+\frac{{\tau }_{21}^2+{\tau }_{31}^2}{S_{21}^2}+\frac{{\left({\sigma }_{22}+{\sigma }_{33}\right)}^2}{4S_{23}^2}+\frac{{\tau }_{23}^2-{\sigma }_{22}{\sigma }_{33}}{S_{23}^2}=1}$
Camanho	${\displaystyle {\alpha }_1{I}_1+{\alpha }_2{I}_2+{\alpha }_3^c{I}_3+{\alpha }_{32}^c{I}_3^2=1}$
	${\displaystyle I_1=\frac{1}{4}{\sigma }_{22}^2-\frac{1}{2}{\sigma }_{22}{\sigma }_{33}+\frac{1}{4}{\sigma }_{33}^2+{\tau }_{23}^2{I}_2={\tau }_{21}^2+{\tau }_{31}^2{I}_3={\sigma }_{22}+{\sigma }_{33}}$
Puck	${\displaystyle {\left(\frac{{\tau }_{\perp \psi }}{R_{\perp \psi }^A}\right)}^2+2·\frac{p_{\perp \psi }^{\left(-\right)}}{R_{\perp \psi }^A}·{\sigma }_N=1}$
	${\displaystyle {\left(\frac{{\tau }_{\perp \psi }}{R_{\perp \psi }^A}\right)}^2={\left(\frac{{\tau }_T}{R_{\perp \perp }^A}\right)}^2+{\left(\frac{{\tau }_L}{R_{\perp \Vert }^A}\right)}^2\frac{p_{\perp \psi }^{\left(-\right)}}{R_{\perp \psi }^A}=\frac{p_{\perp \perp }^{\left(-\right)}}{R_{\perp \perp }^A}{cos}^2\psi +\frac{p_{\perp \Vert }^{\left(-\right)}}{R_{\perp \Vert }^A}{sin}^2\psi }$
	${\displaystyle {cos}^2\psi =\frac{{\tau }_T^2}{{\tau }_T^2+{\tau }_L^2}{sin}^2\psi =1-{cos}^2\psi }$
LaRC05	${\displaystyle {\left(\frac{{\tau }_T}{R_{\perp \perp }^A-p_{\perp \perp }^{\left(-\right)}{\sigma }_N}\right)}^2+{\left(\frac{{\tau }_L}{R_{\perp \Vert }^A-p_{\perp \Vert }^{\left(-\right)}{\sigma }_N}\right)}^2=1}$