The Weibull distribution predicts the survival probability of a fraction of samples with a certain volume that survive a tensile stress sigma, and is often used to better assess the success of a ceramic in avoiding fracture. Fiber bundles
To model fracture of a bundle of fibers, the Fiber Bundle Model was introduced by Thomas Pierce  in 1926 as a model to understand the strength of composite materials. The bundle consists of a  large number of parallel Hookean springs of identical length and each having identical spring constants. They have however different breaking stresses. All these springs are suspended from a rigid horizontal platform. The load is attached  to a horizontal platform, connected to the lower ends of the springs. When this lower platform is absolutely rigid, the load at any point of time is shared equally (irrespective of how many fibers or springs have broken and where) by all the surviving fibers. This mode of load-sharing is called Equal-Load-Sharing mode. The lower platform can also be assumed to have finite rigidity, so that local deformation of the platform occurs wherever springs fail and the surviving neighbor fibers have to share a larger fraction of that transferred from the failed fiber. The extreme case is that of local load-sharing model, where load of the failed spring or fiber is shared (usually equally) by the surviving nearest neighbor fibers. Disasters
Failures caused by brittle fracture have not been limited to any particular category of engineered structure.
Complications
Note that the B12 shot which begins the Schilling test is enough to go a considerable way toward treating B12 deficiency, so the test is also a partial treatment for B12 deficiency. Also, the classic Schilling test can be performed at any time, even after full B12 repletion and correction of the anemia, and it will still show if the cause of the B12 deficiency was intrinsic-factor related. In fact, some clinicians have suggested that folate and B12 replacement for several weeks be normally performed before a Schilling test is done, since folate and B12 deficiencies are both known to interfere with intestinal cell function, and thus cause malabsorption of B12 on their own, even if intrinsic factor is being made. This state would then tend to cause a false-positive test for both simple B12 and intrinsic factor-related B12 malabsorption. Several weeks of vitamin replacement are necessary, before epithelial damage to the G.I. tract from B12 deficiency is corrected. Many labs have stopped performing the Schilling test, due to lack of production of the cobalt radioisotopes and labeled-B12 test substances. Also, injection replacement of B12 has become relatively inexpensive, and can be self-administered by patients, as well as megadose oral B12. Since these are the same treatments which would be administered for most causes of B12 malabsorption even if the exact cause were identified, the diagnostic test may be omitted without damage to the patient (so long as follow-up treatment and occasional serum B12 testing is not allowed to lapse).