Prediction of the longitudinal tensile strength

The temperature-related longitudinal tensile strength a//L of NASC can be calculated by Eq. (33).

Подпись: (33)°TL fd1 fi ffVf °J + fdVm cm

where fi = (1- Vt), °T is the mean stress in fibers when tensile failure occurs and it can be obtained from the micromechanical model of NASC, °/ is the mean stress in the matrix

when tensile failure occurs and °/ = E/A, and fd is the weakening coefficient of rubber induced by fibers.

Подпись: °cL fe1fi ffVf Подпись: її. f (X )X ( - ATT )dX + її™ f (X )(1-a5Xc/1 - A°T )dl Подпись: + fdVm °iTm (34)

When the aspect ratio X is smaller than the critical value 1^, the debonding between fibers and the matrix will occur. However, when X>Xc, the fiber breaks. Therefore, the temperature-related longitudinal tensile strength can be calculated according to Eq. (34).

Подпись: in fibers, A°T = Prediction of the longitudinal tensile strength Подпись: . T Efaf AT EfafAT and ATT =-^

where AaJ is the stress in fibers induced by temperature change and Att is the shear stress