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doctoral thesis
Derivation of a homogenized elasto-plastic plate model
Zagreb: University of Zagreb, Faculty of Science, 2022. urn:nbn:hr:217:631759
Bužančić, Marin
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Bužančić, M. (2022). Derivation of a homogenized elasto-plastic plate model (Doctoral thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:631759

Bužančić, Marin. "Derivation of a homogenized elasto-plastic plate model." Doctoral thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:631759

Bužančić, Marin. "Derivation of a homogenized elasto-plastic plate model." Doctoral thesis, University of Zagreb, Faculty of Science, 2022. https://urn.nsk.hr/urn:nbn:hr:217:631759

Bužančić, M. (2022). 'Derivation of a homogenized elasto-plastic plate model', Doctoral thesis, University of Zagreb, Faculty of Science, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:631759

Bužančić M. Derivation of a homogenized elasto-plastic plate model [Doctoral thesis]. Zagreb: University of Zagreb, Faculty of Science; 2022 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:217:631759

M. Bužančić, "Derivation of a homogenized elasto-plastic plate model", Doctoral thesis, University of Zagreb, Faculty of Science, Zagreb, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:217:631759

Metadata
TitleDerivation of a homogenized elasto-plastic plate model
Title (croatian)Izvod modela homogenizirane elastično-plastične ploče
AuthorMarin Bužančić
MentorIgor Velčić (mentor)
Committee memberMikhail Cherdantsev (predsjednik povjerenstva)
ISNI: 0000 0004 2672 8964
Committee memberElisa Davoli https://orcid.org/0000-0002-1715-5004 (član povjerenstva)
Committee memberMarko Vrdoljak (član povjerenstva)
Committee memberMario Bukal (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2022-07-08, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Universal decimal classification
(UDC)		51 - Mathematics
Abstract
In this thesis we consider a lower dimensional homogenized thin plate model within the framework of linearized elasto-plasticity. Starting from the energetic formulation of the quasistatic evolution, we analyse the behavior of the elastic energies and dissipation potentials, as well as the displacements and strain tensors, when the period of oscillation of the heterogeneous material and the thickness of the thin body simultaneously tend to zero. In order to derive convergence results for energy functionals and the associated energy minimizers, we base our approach on \(\Gamma\)-convergence techniques and the two-scale convergence method adapted to dimension reduction.
Abstract (croatian)
U ovoj disertaciji promatramo nižedimenzionalni homogenizirani model tanke ploče u okviru linearizirane elasto-plasticnosti. Polazeći od energetske formulacije kvazistatične evolucije, analiziramo ponašanje energetskih funkcionala i disipacijskih potencijala te elastičnog i plastičnog tenzora deformacije kada period oscilacije heterogenog materijala i debljina tankog tijela simultano teze prema nuli. Kako bismo dobili rezultate konvergencije za energetske funkcionale i pridružene minimizatore energije, naš pristup temeljimo na tehnici \(\Gamma\)-konvergencije i metodi dvoskalne konvergencije prilagođenoj redukciji dimenzije.
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:217:631759
Promotion2022
Study programmeTitle: Mathematics
Study programme type: university
Study level: postgraduate
Academic / professional title: doktor/doktorica znanosti, područje prirodnih znanosti, polje matematika (doktor/doktorica znanosti, područje prirodnih znanosti, polje matematika)
Type of resourceText
Extentiv, 129 str.
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-10-05 12:32:59