A k-Entropic approach to the analysis of the fracture problem

In order to study the relation between the ohmic resistance measured in a thin conductingribbon and the length of a transversal cut, we employ a one-parameter deformed exponentialand logarithm that were recently introduced (Phys. Rev. E 66 (2002) 056125) in the frameworkof a generalized statistical mechanics. The analytical results have been compared with the datathat was experimentally obtained and numerically computed with the boundary element method.Remarkably, the new deformed functions that interpolate between the standard functions and thepower law functions, allow the best 3t of the experimental data to be obtained for a wide rangeof the cut length.