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dc.contributor.authorVu, Bich Ngoc
dc.contributor.authorLukeš, Vladimír
dc.contributor.authorStingl, Michael
dc.contributor.authorRohan, Eduard
dc.date.accessioned2023-10-30T11:00:22Z-
dc.date.available2023-10-30T11:00:22Z-
dc.date.issued2023
dc.identifier.citationVU, BN. LUKEŠ, V. STINGL, M. ROHAN, E. A sequential global programming approach for two-scale optimization of homogenized multiphysics problems with application to Biot porous media. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2023, roč. 66, č. 9, s. nestránkováno. ISSN: 1615-147Xcs
dc.identifier.issn1615-147X
dc.identifier.uri2-s2.0-85170829741
dc.identifier.urihttp://hdl.handle.net/11025/54580
dc.format
dc.format24 s.cs
dc.format.mimetypeapplication/pdf
dc.language.iso
dc.language.isoenen
dc.publisherSpringeren
dc.relation.ispartofseriesStructural And Multidisciplinary Optimizationen
dc.rights© The Author(s)en
dc.titleA sequential global programming approach for two-scale optimization of homogenized multiphysics problems with application to Biot porous mediaen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessopenAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedWe present a new approach and an algorithm for solving two-scale material optimization problems to optimize the behaviour of a fluid-saturated porous medium in a given domain. While the state problem is governed by the Biot model describing the fluid–structure interaction in homogenized poroelastic structures, the approach is widely applicable to multiphysics problems involving several macroscopic fields in which homogenization provides the relationship between the microconfigurations and the macroscopic mathematical model. The optimization variables describe the local microstructure design by virtue of the pore shape which determines the effective medium properties, namely the material coefficients, computed by the homogenization method. The numerical optimization strategy involves (a) precomputing a database of the material coefficients associated with the geometric parameters and (b) applying the sequential global programming (SGP) method for solving the problem of macroscopically optimized distribution of material coefficients. Although there are similarities to the free material optimization (FMO) approach, only effective material coefficients are considered admissible, for which a well-defined set of corresponding configurable microstructures exists. Due to the flexibility of the SGP approach, different types of microstructures with fully independent parametrizations can easily be handled. The efficiency of the concept is demonstrated by a series of numerical experiments that show that the SGP method can simultaneously handle multiple types of microstructures with nontrivial parametrizations using a considerably low and stable number of state problems to be solved.en
dc.subject.translatedmulti-material optimizationen
dc.subject.translatedsequential global programmingen
dc.subject.translatedhomogenizationen
dc.subject.translatedbiot modelen
dc.subject.translatedporoelasticityen
dc.subject.translatedsensitivity analysisen
dc.identifier.doi10.1007/s00158-023-03659-w
dc.type.status
dc.type.statusPeer-revieweden
dc.identifier.document-number1067432200001
dc.identifier.obd43940245
dc.project.IDGA19-04956S/Dynamika a nelineární chování pokročilých kompozitních struktur; modelování a optimalizacecs
dc.project.IDGF22-00863K/Řiditelné metamateriály a chytré struktury: Nelineární problémy, modelování a experimentycs
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