Consistent Higher Order Accurate Time Discretization Methods for Inelastic Material Models

Schröder, Bettina Anna Barbara

dc.date.accessioned	2020-08-07T14:30:30Z
dc.date.available	2020-08-07T14:30:30Z
dc.date.issued	2019
dc.identifier	doi:10.17170/kobra-202007291513
dc.identifier.isbn	978-3-7376-0773-5 (e-book)
dc.identifier.uri	http://hdl.handle.net/123456789/11676
dc.description	Zugleich: Dissertation, Universität Kassel, 2019	ger
dc.language.iso	eng	eng
dc.publisher	kassel university press
dc.relation.uri	urn:nbn:de:0002-407733
dc.rights	Namensnennung - Weitergabe unter gleichen Bedingungen 4.0 International	*
dc.rights.uri	http://creativecommons.org/licenses/by-sa/4.0/	*
dc.subject.ddc	620
dc.subject.ddc	690
dc.title	Consistent Higher Order Accurate Time Discretization Methods for Inelastic Material Models	eng
dc.type	Buch
dcterms.abstract	The present thesis investigates the usage of higher order accurate time integrators together with appropriate error estimators for small and finite dynamic (visco)plasticity. Therefore, a general (visco)plastic problem is defined which serves as a basis to create closed-form solution strategies. A classical access towards small and finite (visco)plasticity is integrated into this concept. This approach is based on the idea, that the balance of linear momentum is formulated in a weak sense and the material laws are included indirectly. Thus, separate time discretizations are implemented and an appropriate coupling between them is necessary. Limitations for the usage of time integrators are the consequence. In contrast, an alternative multifield formulation is derived, adapting the principle of Jourdain. The idea is to assume that the balance of energy - taking into account a pseudopotential representing dissipative effects – resembles a rate-type functional, whose stationarity condition leads to the equations describing small or finite dynamic (visco)plasticity. Accordingly, the material laws and the balance of linear momentum can be solved on the same level and only one single time discretization has to be performed. A greater freedom in the choice of time integrators is obtained and the application of higher order accurate schemes - such as Newmark’s method, fully implicit as well as diagonally implicit Runge-Kutta schemes, and continuous as well as discontinuous Galerkin methods - is facilitated. An analysis and a comparison of the classical and the multifield formulation is accomplished by means of distinct examples. In this context, a dynamic benchmark problem is developed, which allows to focus on the effect of different time integrators. For this investigation, a variety of time discretization error estimators are formulated, evaluated, and compared.	eng
dcterms.accessRights	open access
dcterms.creator	Schröder, Bettina Anna Barbara
dcterms.dateAccepted	2019-05-15
dcterms.extent	xxx, 31-255 Seiten
dcterms.isPartOf	Schriftenreihe Institut für Baustatik und Baudynamik ;; 2019 - 2	ger
dc.contributor.corporatename	Kassel, Universität Kassel, Fachbereich Bauingenieurwesen und Umweltingenieurwesen	ger
dc.contributor.referee	Kuhl, Detlef (Prof. Dr.)
dc.contributor.referee	Schröder, Jörg (Prof. Dr.)
dc.publisher.place	Kassel
dc.relation.isbn	978-3-7376-0772-8 (print)
dc.subject.swd	Viskoplastizität	ger
dc.subject.swd	Elastoplastische Deformation	ger
dc.subject.swd	Zeitintegrationsverfahren	ger
dc.subject.swd	Galerkin-Methode	ger
dc.subject.swd	Runge-Kutta-Verfahren	ger
dc.subject.swd	Finite-Elemente-Methode	ger
dc.subject.swd	Mehrfeldproblem	ger
dc.subject.swd	Benchmark	ger
dc.subject.swd	Fehlerabschätzung	ger
dc.type.version	publishedVersion
dcterms.source.series	Schriftenreihe Institut für Baustatik und Baudynamik	ger
dcterms.source.volume	2019 - 2	ger
kup.iskup	true
kup.price	39,00
kup.series	Schriftenreihe Institut für Baustatik und Baudynamik
kup.subject	Naturwissenschaft, Technik, Informatik, Medizin
kup.typ	Dissertation
kup.institution	FB 14 / Bauingenieur- und Umweltingenieurwesen