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dc.contributor.authorKurki, Matti
dc.contributor.authorJeronen, Juha
dc.contributor.authorSaksa, Tytti
dc.contributor.authorTuovinen, Tero
dc.date.accessioned2015-12-08T09:08:34Z
dc.date.available2017-12-02T22:45:08Z
dc.date.issued2016
dc.identifier.citationKurki, M., Jeronen, J., Saksa, T., & Tuovinen, T. (2016). The Origin of In-plane Stresses in Axially Moving Orthotropic Continua. <i>International Journal of Solids and Structures</i>, <i>81</i>, 43-62. <a href="https://doi.org/10.1016/j.ijsolstr.2015.10.027" target="_blank">https://doi.org/10.1016/j.ijsolstr.2015.10.027</a>
dc.identifier.otherCONVID_25343852
dc.identifier.otherTUTKAID_68055
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/48014
dc.description.abstractIn this paper, we address the problem of the origin of in-plane stresses in continuous, two-dimensional high-speed webs. In the case of thin, slender webs, a typical modeling approach is the application of a stationary in-plane model, without considering the effects of the in-plane velocity field. However, for high-speed webs this approach is insufficient, because it neglects the coupling between the total material velocity and the deformation experienced by the material. By using a mixed Lagrange–Euler approach in model derivation, the solid continuum problem can be transformed into a solid continuum flow problem. Mass conservation in the flow problem, and the behaviour of free edges in the two-dimensional case, are both seen to influence the velocity field. We concentrate on solutions of a steady-state type, and study briefly the coupled nature of material viscoelasticity and transport velocity in one dimension. Analytical solutions of the one-dimensional equation are presented with both elastic and viscoelastic material models. The two-dimensional elastic problem is solved numerically using a nonlinear finite element procedure. An important new fundamental feature of the model is the coupling of the driving velocity field to the deformation of the material, while accounting for small deformations of the free edges. The results indicate that inertial effects produce an additional contribution to elastic contraction in unsupported, free webs.
dc.language.isoeng
dc.publisherPergamon
dc.relation.ispartofseriesInternational Journal of Solids and Structures
dc.subject.otheraxially moving
dc.subject.otherorthotropic
dc.subject.otherviscoelastic
dc.subject.otherelastic
dc.subject.otherone-dimensional
dc.subject.othertwo-dimensional
dc.subject.otherfree edges
dc.titleThe Origin of In-plane Stresses in Axially Moving Orthotropic Continua
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201512073923
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2015-12-07T13:15:04Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange43-62
dc.relation.issn0020-7683
dc.relation.numberinseries0
dc.relation.volume81
dc.type.versionacceptedVersion
dc.rights.copyright© 2016 Elsevier B.V. This is a final draft version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1016/j.ijsolstr.2015.10.027


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