Change search
ReferencesLink to record
Permanent link

Direct link
Optimal Paths in Random Conductor Networks
Norwegian University of Science and Technology, Faculty of Natural Sciences and Technology, Department of Physics.
2013 (English)MasteroppgaveStudent thesis
Abstract [en]

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.
URN: urn:nbn:no:ntnu:diva-22848Local ID: ntnudaim:9140OAI: diva2:653671
Available from: 2013-10-04 Created: 2013-10-04 Last updated: 2013-10-04Bibliographically approved

Open Access in DiVA

fulltext(2368 kB)90 downloads
File information
File name FULLTEXT01.pdfFile size 2368 kBChecksum SHA-512
Type fulltextMimetype application/pdf
cover(184 kB)8 downloads
File information
File name COVER01.pdfFile size 184 kBChecksum SHA-512
Type coverMimetype application/pdf
attachment(53 kB)10 downloads
File information
File name ATTACHMENT01.zipFile size 53 kBChecksum SHA-512
Type attachmentMimetype application/zip

By organisation
Department of Physics

Search outside of DiVA

GoogleGoogle Scholar
Total: 90 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 50 hits
ReferencesLink to record
Permanent link

Direct link