A two-zone fracture process model with a crack-bridging zone (CBZ) and
a microcracking zone (MCZ) is proposed to describe the fracture proce
ss around the tip of a macrocrack. A nonlocal damage approach based on
previous work is used to determine the size of the fracture process z
one (FPZ). The experimental analysis given by Horii and Ichinomiya [In
t. J. Fracture 51, 19-29 (1991)] supports the proposal that the existe
nce of the crack bridging effect brings out an increase in load-carryi
ng capacity of materials, whereas microcracking leads to the deteriora
tion of the capacity. Based on the above and utilizing Westergaard's c
omplex function, the distribution functions of stress and damage in th
e FPZ are given. Applying these to the concrete-like material mortar,
we can determine the distribution functions of stress and damage in th
e FPZ if load and crack opening displacement (COD) at a point are give
n. Additionally, a nonlocal damage failure criterion is proposed to ju
dge the propagation of the macrocrack.