dc.contributor.author | Tirronen, Maria | |
dc.date.accessioned | 2016-04-13T11:25:34Z | |
dc.date.available | 2016-04-13T11:25:34Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Tirronen, M. (2015). Stochastic fracture analysis of systems with moving material. <i>Rakenteiden mekaniikka</i>, <i>48</i>(2), 116-135. <a href="http://rmseura.tkk.fi/rmlehti/2015/nro2/RakMek_48_2_2015_2.pdf" target="_blank">http://rmseura.tkk.fi/rmlehti/2015/nro2/RakMek_48_2_2015_2.pdf</a> | |
dc.identifier.other | CONVID_25416053 | |
dc.identifier.other | TUTKAID_68453 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/49326 | |
dc.description.abstract | This paper considers the probability of fracture in a system in which a material
travels supported by rollers. The moving material is subjected to longitudinal tension for which
deterministic and stochastic models are studied. In the stochastic model, the tension is described
by a multi-dimensional Ornstein-Uhlenbeck process. The material is assumed to have initial
cracks perpendicular to the travelling direction, and a stochastic counting process describes the
occurrence of cracks in the longitudinal direction of the material. The material is modelled as
isotropic and elastic, and LEFM is applied. For a general counting process, when there is no
fluctuation in tension, the reliability of the system can be simulated by applying conditional
sampling. With the stochastic tension model, considering fracture of the material leads to a
first passage time problem, the solution of which is estimated by simulation. As an example,
the probability of fracture is computed for periodically occurring cracks with parameters typical
to printing presses and paper material. The numerical results suggest that small cracks are not
likely to affect the pressroom runnability. The results also show that tension variations may
significantly increase the probability of fracture. | |
dc.language.iso | eng | |
dc.publisher | Rakenteiden Mekaniikan Seura ry | |
dc.relation.ispartofseries | Rakenteiden mekaniikka | |
dc.relation.uri | http://rmseura.tkk.fi/rmlehti/2015/nro2/RakMek_48_2_2015_2.pdf | |
dc.subject.other | moving material | |
dc.subject.other | fracture | |
dc.subject.other | stochastic model | |
dc.subject.other | first passage time | |
dc.subject.other | multi-dimensional Ornstein-Uhlenbeck process | |
dc.title | Stochastic fracture analysis of systems with moving material | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201604132185 | |
dc.contributor.laitos | Tietotekniikan laitos | fi |
dc.contributor.laitos | Department of Mathematical Information Technology | en |
dc.contributor.oppiaine | Tietotekniikka | fi |
dc.contributor.oppiaine | Mathematical Information Technology | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2016-04-13T09:15:05Z | |
dc.type.coar | journal article | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 116-135 | |
dc.relation.issn | 0783-6104 | |
dc.relation.numberinseries | 2 | |
dc.relation.volume | 48 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © The author 2015. This is an open access article licensed under CC BY-SA 4.0 license. | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | simulointi | |
dc.subject.yso | paperiteollisuus | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p4787 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p10706 | |
dc.rights.url | https://creativecommons.org/licenses/by-sa/4.0/ | |