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Strength Reduction in Electrical and Elastic Networks | | J.S. Espinoza Ortiz
; Chamith S. Rajapakse
; Gemunu Gunaratne
; | | Date: |
10 May 2002 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | Particular aspects of problems ranging from dielectric breakdown to metal insu- lator transition can be studied using electrical o elastic networks. We present an expression for the mean breakdown strength of such networks.First, we intro- duce a method to evaluate the redistribution of current due to the removal of a finite number of elements from a hyper-cubic network of conducatances.It is used to determine the reduction of breakdown strength due to a fracture of size $kappa$.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 tools for osteorosporosis,is discussed. | | Source: | arXiv, cond-mat/0205214 | | Services: | Forum | Review | PDF | Favorites | |
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