Homogenization and numerical modelling of poroelastic materials with self-contact in the microstructure

dc.contributor.authorRohan, Eduard
dc.contributor.authorHeczko, Jan
dc.date.accessioned2020-08-31T10:00:22Z
dc.date.available2020-08-31T10:00:22Z
dc.date.issued2020
dc.description.abstract-translatedWe present a two-scale homogenization-based computational model of porous elastic materials subject to external loads inducing the self-contact interaction at the pore level. Microstructures under consideration are constituted as periodic lattices generated by a representative cell consisting of a solid skeleton and a pore. On its surface, the unilateral frictionless contact appears when the porous material is deformed. We focus on microstructures with rigid inclusions whereby the contact process involves opposing surfaces on the rigid and the compliant skeleton parts. A macroscopic model is derived using the periodic unfolding homogenization and the method of oscillating test functions. An efficient algorithm for the two-scale computational analysis is proposed for the numerical model obtained using the finite element discretization of the homogenized model. For this, a sequential linearization of the two-scale elasticity problem leads to the consistent effective elasticity tensor yielding consistent stiffness matrices of the macroscopic incremental formulation. The micro-level contact problem attains the form of a nonsmooth equation solved using the semi-smooth Newton method without any regularization, or problem relaxation. Numerical examples of two-dimensional deforming structures are presented as a proof of the concept. The proposed modelling approach can be extended to treat self-contact in structures subject to finite deformation.en
dc.format18 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationROHAN, E. ., HECZKO, J. . Homogenization and numerical modelling of poroelastic materials with self-contact in the microstructure. COMPUTERS & STRUCTURES, 2020, roč. 230, č. 1 April 2020, s. [1-17]. ISSN 0045-7949.en
dc.identifier.document-number518666100006
dc.identifier.doi10.1016/j.compstruc.2019.06.003
dc.identifier.issn0045-7949
dc.identifier.obd43929662
dc.identifier.uri2-s2.0-85078156223
dc.identifier.urihttp://hdl.handle.net/11025/39544
dc.language.isoenen
dc.project.IDEF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslucs
dc.project.IDGA19-04956S/Dynamika a nelineární chování pokročilých kompozitních strukturcs
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnoscs
dc.publisherElsevierfr
dc.relation.ispartofseriesComputers & Structureshu
dc.rights© Elsevierfr
dc.rights.accessopenAccessen
dc.subject.translatedUnilateral contacthu
dc.subject.translatedHomogenizationhu
dc.subject.translatedPorous mediahu
dc.subject.translatedVariational inequalityhu
dc.subject.translatedFinite Element Methodhu
dc.subject.translatedSemi-smooth Newton methodhu
dc.titleHomogenization and numerical modelling of poroelastic materials with self-contact in the microstructurefr
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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