Stress Intensity Factor - Stress Intensity Factors For Fracture Toughness Tests

Stress Intensity Factors For Fracture Toughness Tests

Compact tension specimen

The stress intensity factor at the crack tip of a compact tension specimen is

\begin{align} K_{\rm I} & = \frac{P}{B}\sqrt{\frac{\pi}{W}}\left[16.7\left(\frac{a}{W}\right)^{1/2} - 104.7\left(\frac{a}{W}\right)^{3/2} + 369.9\left(\frac{a}{W}\right)^{5/2} \right.\\ & \qquad \left.- 573.8\left(\frac{a}{W}\right)^{7/2} + 360.5\left(\frac{a}{W}\right)^{9/2} \right] \end{align}

where is the applied load, is the thickness of the specimen, is the crack length, and is the width of the specimen.
Single edge notch bending specimen

The stress intensity factor at the crack tip of a single edge notch bending specimen is

\begin{align} K_{\rm I} & = \frac{4P}{B}\sqrt{\frac{\pi}{W}}\left[1.6\left(\frac{a}{W}\right)^{1/2} - 2.6\left(\frac{a}{W}\right)^{3/2} + 12.3\left(\frac{a}{W}\right)^{5/2} \right.\\ & \qquad \left.- 21.2\left(\frac{a}{W}\right)^{7/2} + 21.8\left(\frac{a}{W}\right)^{9/2} \right] \end{align}

where is the applied load, is the thickness of the specimen, is the crack length, and is the width of the specimen.

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