The pipe displacement and tearing modulus solutions are derived for pipes containing a uniform depth internal flaw under bending moment or axial loading. The tearing modulus solution is derived for both load control and displacement control conditions. These solutions are then used to construct critical stress curves for various flaw sizes for a carbon steel pipe. These curves are useful in predicting the onset of flaw growth instability. Critical stress curves can be similarly constructed for other materials and pipe geometries.

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