Multiaxial Loading Fracture of Al 2 O 3 Tubes: II, Weibull Theory and Analysis

The Weibull statistical fracture theory for multiaxial loading was developed for thick‐ and thin‐walled tube geometries subjected to multiaxial loading in tension‐internal pressure, compression‐internal pressure, and pure torsion. As compared to uniaxial tension, lower strengths are predicted for tension‐tension stress states and higher strengths for tension‐compression stress states. Comparison to experimental results for A1 2 0 3 tubes indicates a reasonable agreement with Weibull theory predictions for tension‐internal pressure and compression‐internal pressure conditions, but an underestimation of stress state effects in pure torsion. Results indicate a weakening effect of in‐flaw‐plane tensile stresses, with no observed influence of in‐plane compressive stresses.