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Particular aspects of problems ranging from dielectric breakdown to metalinsu- lator transition can be studied using electrical o elastic networks. Wepresent an expression for the mean breakdown strength of such networks.First,we intro- duce a method to evaluate the redistribution of current due to theremoval of a finite number of elements from a hyper-cubic network ofconducatances.It is used to determine the reduction of breakdown strength dueto a fracture of size $\kappa$.Numerical analysis is used to show that theanalogous reduction due to random removal of elements from electrical andelastic networks follow a similar form.One possible application, namely the useof bone density as a diagnostic tools for osteorosporosis,is discussed.Comment: one compressed file includes: 9 PostScrpt figures and a text fil

Strength reduction in electrical and elastic networks