Homogenization and numerical algorithms for two-scale modeling of porous media with self-contact in micropores

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dc.contributor.authorRohan, Eduard
dc.contributor.authorHeczko, Jan
dc.date.accessioned2023-07-24T10:00:19Z
dc.date.available2023-07-24T10:00:19Z
dc.date.issued2023
dc.description.abstract-translatedThe paper presents two-scale numerical algorithms for stress–strain analysis of porous media featured by self-contact at pore level. The porosity is constituted as a periodic lattice generated by a representative cell consisting of elastic skeleton and a void pore. Unilateral frictionless contact is considered between opposing surfaces of the pore. For the homogenized model derived in our previous work, we justify incremental formulations and propose several variants of two-scale algorithms which commute iteratively solving of the micro- and the macro-level contact subproblems. A dual formulation which takes advantage of the assumed microstructure periodicity and a small deformation framework, is derived for the contact problems at the micro-level. This enables to apply the semi-smooth Newton method. For the global, macrolevel step two alternatives are tested; one relying on a frozen contact identified at the microlevel, the other based on a reduced contact associated with boundaries of contact sets. Numerical examples of 2D deforming structures are presented as a proof of the concept.en
dc.format19 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationROHAN, E. HECZKO, J. Homogenization and numerical algorithms for two-scale modeling of porous media with self-contact in micropores. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, roč. 432, č. NOV 2023, s. 1-19. ISSN: 0377-0427cs
dc.identifier.document-number1001191800001
dc.identifier.doi10.1016/j.cam.2023.115276
dc.identifier.issn0377-0427
dc.identifier.obd43939884
dc.identifier.uri2-s2.0-85159168460
dc.identifier.urihttp://hdl.handle.net/11025/53047
dc.language.isoenen
dc.project.IDGF22-00863K/Řiditelné metamateriály a chytré struktury: Nelineární problémy, modelování a experimentycs
dc.publisherElsevieren
dc.relation.ispartofseriesJournal Of Computational And Applied Mathematicsen
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelůmcs
dc.rights© Elsevier B.V.en
dc.rights.accessrestrictedAccessen
dc.subject.translateddual formulationen
dc.subject.translatedhomogenizationen
dc.subject.translatedporous mediaen
dc.subject.translatedtwo-scale iterative algorithmen
dc.subject.translatedunilateral contacten
dc.subject.translatedvariational inequalityen
dc.titleHomogenization and numerical algorithms for two-scale modeling of porous media with self-contact in microporesen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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