Thermoviscoelasticity in Kelvin--Voigt rheology at large strains
dc.bibliographicCitation.volume | 2584 | |
dc.contributor.author | Mielke, Alexander | |
dc.contributor.author | Roubíček, Tomáš | |
dc.date.accessioned | 2022-06-23T09:38:50Z | |
dc.date.available | 2022-06-23T09:38:50Z | |
dc.date.issued | 2019 | |
dc.description.abstract | The frame-indifferent thermodynamically-consistent model of thermoviscoelasticity at large strain is formulated in the reference configuration with using the concept of the second-grade nonsimple materials. We focus on physically correct viscous stresses that are frame indifferent under time-dependent rotations. Also elastic stresses are frame indifferent under rotations and respect positivity of the determinant of the deformation gradient. The heat transfer is governed by the Fourier law in the actual deformed configuration, which leads to a nontrivial description when pulled back into the reference configuration. Existence of weak solutions in the quasistatic setting, i.e. inertial forces are ignored, is shown by time discretization. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9158 | |
dc.identifier.uri | https://doi.org/10.34657/8196 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2584 | |
dc.relation.hasversion | https://doi.org/10.1007/s00205-020-01537-z | |
dc.relation.ispartofseries | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik ; 2584 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject | Finite-strain elasticity | eng |
dc.subject | static frame indifference | eng |
dc.subject | time-dependent frame indifference | eng |
dc.subject | balance of total energy | eng |
dc.subject | energy estimates | eng |
dc.subject | hyperstress regularization | eng |
dc.subject | uniform positive of determinant | eng |
dc.subject | viscous heating | eng |
dc.subject | staggered time-incremental minimization scheme | eng |
dc.subject.ddc | 510 | |
dc.title | Thermoviscoelasticity in Kelvin--Voigt rheology at large strains | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.bibliographicCitation.journalTitle | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dcterms.extent | 36 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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