Study of stochastic aspects in the modeling of the strain-induced crystallization in unfilled polymers

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dc.contributor.authorAygün, Serhat
dc.contributor.authorKlinge, Sandra
dc.date.accessioned2021-05-21T11:19:45Z
dc.date.available2021-05-21T11:19:45Z
dc.date.issued2020-11-10
dc.description.abstractThe present contribution deals with the mechanical modeling of the crystallization of unfilled polymers under consideration of stochastic aspects of the process. The framework applied is thermodynamically consistent. The model involves the diameter of crystalline regions and the distance between these regions as internal variables. The necessary evolution equations are based on the assumptions for the effective free energy and the dissipation potential of a control volume. A distribution function is introduced to express the expectation value of relevant quantities. Furthermore, the numerical implementation of probability integrals is shown. The proposed concepts are of general nature and can be taken as a basis for the modeling of similar stochastic processes involving the evolution of the internal microstructure.en
dc.identifier.urihttp://hdl.handle.net/2003/40184
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22056
dc.language.isoende
dc.relation.ispartofseriesProceedings in Applied Mathematics & Mechanics;Vol. 20. 2021, No 1. Special Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc620
dc.subject.ddc670
dc.subject.rswkKristallisationde
dc.subject.rswkPolymerede
dc.subject.rswkStochastische Analysisde
dc.subject.rswkLagrange-Funktionde
dc.titleStudy of stochastic aspects in the modeling of the strain-induced crystallization in unfilled polymersen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationProceedings in Applied Mathematics & Mechanics. Vol. 20, 2021, Issue1, Special Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)de
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1002/pamm.202000031de

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