Optimal Paths in Random Conductor Networks
In this master thesis, the spanning path through a random conductor network with a
quenched threshold distribuion has been studied. An argument is made using a hierar-
chial model, that for bonds having a piecewise linear character with slopes α before the
threshold and β after, with α, β ∈ [0, ∞), it is the ratio r = α/β which is important for
where the spanning path forms. It is shown that in the limit of r → ∞, the spanning
path follows the optimal path through the network, as in the case of a perfect plastic.
Numerical results which support the argument are also given. The fracture path in
brittle fracture has also been studied in a hierarchy of optimal paths, without leading
to any conclusions.
Place, publisher, year, edition, pages
Institutt for fysikk , 2013. , 66 p.
IdentifiersURN: urn:nbn:no:ntnu:diva-22848Local ID: ntnudaim:9140OAI: oai:DiVA.org:ntnu-22848DiVA: diva2:653671
Hansen, Alex, Professor