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• W2053254246 abstract "Particular aspects of problems ranging from dielectric breakdown to metal-insulator transition can be studied using electrical or elastic networks. We present an expression for the mean breakdown strength of such networks. First, we introduce a method to evaluate the redistribution of current due to the removal of a finite number of elements from a hypercubic network of conductances. It is used to determine the reduction of breakdown strength due to a fracture of size $ensuremath{kappa}.$ Numerical analysis is used to show that the analogous reduction due to random removal of elements from electrical and elastic networks follow a similar form. One possible application, namely the use of bone density as a diagnostic tool for osteoporosis, is discussed." @default.
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• W2053254246 date "2002-10-29" @default.
• W2053254246 modified "2023-10-18" @default.
• W2053254246 title "Strength reduction in electrical and elastic networks" @default.
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• W2053254246 doi "https://doi.org/10.1103/physrevb.66.144203" @default.
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