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dc.contributor.authorDella Porta, F.
dc.contributor.authorRüland, A.
dc.contributor.authorTaylor, J.M. 
dc.contributor.authorZillinger, C.
dc.date.accessioned2021-09-06T21:00:20Z
dc.date.available2021-09-06T21:00:20Z
dc.date.issued2021-07-01
dc.identifier.issn09517715
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1325
dc.description.abstractBuilding on the work by Ball et al (2015 MATEC Web of Conf. 33 02008), Cesana and Hambly (2018 A probabilistic model for interfaces in a martensitic phase transition arXiv:1810.04380), Torrents et al (2017 Phys. Rev. E 95 013001), in this article we propose and study a simple, geometrically constrained, probabilistic algorithm geared towards capturing some aspects of the nucleation in shape-memory alloys. As a main novelty with respect to the algorithms by Ball et al (2015 MATEC Web of Conf. 33 02008), Cesana and Hambly (2018 A probabilistic model for interfaces in a martensitic phase transition arXiv:1810.04380), Torrents et al (2017 Phys. Rev. E 95 013001) we include mechanical compatibility. The mechanical compatibility here is guaranteed by using convex integration building blocks in the nucleation steps. We analytically investigate the algorithm's convergence and the solutions' regularity, viewing the latter as a measure for the fractality of the resulting microstructure. We complement our analysis with a numerical implementation of the scheme and compare it to the numerical results by Ball et al (2015 MATEC Web of Conf. 33 02008), Cesana and Hambly (2018 A probabilistic model for interfaces in a martensitic phase transition arXiv:1810.04380), Torrents et al (2017 Phys. Rev. E 95 013001).en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectavalanchesen_US
dc.subjectconvex integrationen_US
dc.subjectgeometrically constrained nucleationen_US
dc.subjectmechanical compatibilityen_US
dc.subjectprobabilisticen_US
dc.subjectshapememory alloysen_US
dc.titleOn a probabilistic model for martensitic avalanches incorporating mechanical compatibilityen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1088/1361-6544/abfca9en_US
dc.relation.publisherversionhttps://iopscience.iop.org/article/10.1088/1361-6544/abfca9/metaen_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/1PE/MTM2017-82184-Ren_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleNonlinearityen_US
dc.volume.number34en_US
dc.issue.number7en_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España