Notch stress trajectory

Figure 4.1 shows sketches of the stress trajectories near differently shaped notches. If we look at the stress trajectories at a cross section at the notch root, we see that they are not evenly distributed, but become more narrow at the notch root. Thus, there is a local stress concentration, with a maximum stress Crnax in the notch root as shown in figure 4.2. The shape and size of the... 

Fig- 4.1. Stress trajectories in notched components. The stress trajectories are aligned with the maximum principal stress, their density is a measure of the stress level. At the notch root, there is a stress concentration in both geometries... 

It seems that in concrete composites with brittle matrix, in the crack tip area, the most probable directions of microcracks formation are those which are perpendicular to the isostatic lines. Principal stress trajectories in the vicinity of a notch are connected with the polar coordinate system -microcracks initiate radially and circumferentially, so the body may be considered as cy1indrically-anisotropic. 

As well, a notch may do the same with regard to the diffusion from the points of view of the geometry and the stress effects on the transport phenomenon, if compared with the stress-unassisted diffusion in a smooth cylinder. In particular, the range of the disturbing effect of a notch on stress in assisted transport phenomena in solids can be estimated from fig. 4, where vanishing of the notch effect corresponds to fairly radial flow trajectories, or concentration contour bands parallel to the cylinder surface, the same as it occurs in smooth bars. 

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