Some approximate treatments of fracture statistics for polyaxial tension

✍ Scribed by S. B. Batdorf

• Book ID: 104618920
• Publisher: Springer Netherlands
• Year: 1977
• Tongue: English
• Weight: 316 KB
• Volume: 13
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00040871

✦ Synopsis

A frequently used approximate treatment of fracture statistics for polyaxial stress states assumes that the probability of survival is the product of the probabilities of survival of the structure for the principal stresses applied individually. The present paper shows that this assumption is generally unconservative and therefore the approximation serves as a lower bound to the failure probability. A simple technique is given for finding an upper bound in cases of biaxial tension prox~ded the uniaxial fracture behavior is described satisfactorily by Weibull's two-parameter formula. The upper bound is a good approximation when in high stress regions the stresses are equibiaxial, or nearly so, as in laterally loaded or spinning disks.