Mechanics of Solids and Fracture by Ho Sung Kim

Author:Ho Sung Kim
Language: eng
Format: epub
Publisher: Bookboon.com Ltd.
Published: 2018-07-13T00:00:00+00:00

Figure 6.6 Cracks emanating from loaded rivet hole and superposition.

and, given that

(6.22)

The internal pressure () [Equation (6.20)] is equivalent to a series of evenly distributed point forces. This allows us to use Equation (6.17) for determining stress intensity factors by integration for various cases. For example, Equation (6.19) can be found by integration:

(6.23)

Thus, the two methods validate each other.

6.4 Stress intensity factor with crazing

Crazing is a phenomenon which occurs in polymers when crack-like discontinuities are formed, in which fibrils connect the two faces of the crack. The restraining of the faces may be described by a uniform stress over the crack faces (Figure 6.7a) and from Equation (6.19) we have:

(6.24)

where is the length of the craze and is the stress intensity factor due to the crazing. The applied stress at infinity also gives rise to a stress intensity factor (),

(6.25)

so that the net stress intensity factor () is given by

(6.26)

This is illustrated in Figure 6.7 using the superposition principle.

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