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We study numerically the rupture of elastic lattices consisting of fragile elastic springs which can freely rotate around nodes. All bonds are given an identical force constant but the threshold force for which they break is randomly attributed to each bond according to a uniform probability distribution between 0 and 1. We analyse the overall force-displacement characteristics of the lattices and other physical parameters as function of lattice size. Various scaling relations are found. Finally, we found evidence for a multifractal distribution of forces at the ultimate stage of the rupture

We study the hydrodynamic properties of polymers and more generally self-similar structures using a new recursion model. The hydrodynamic interaction between monomers is modeled by the standard Green's function of Stokes flow in which an ultrametric distance is substituted for the usual Euclidean distance. This leads to a model where the long-range hydrodynamic interactions and the long-range correlations of the polymer conformation can both be accounted for and yet allow for analytical solutions. We explore the asymptotic as well as the finite size corrections to the scaling behavior with this model. In order to compare the results of the present scheme with more conventional techniques a generalized version of the existing mean field results by Kirkwood and Riseman for the hydrodynamic drag is introduced.PACS. 61.25.Hq Macromolecular and polymer solutions; polymer melts; swelling -47.11.+j Computational methods in fluid dynamics 36.20.-r Macromolecules and polymer molecules

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