About: On Modelling Nonlinear Phenomena in Deforming Heterogeneous Media using Homogenization and Sensitivity Analysis Concepts

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This paper is concerned with modeling nonlinear effects in deforming porous fluid saturated media. The proposed modelling approaches are based on the homogenization of quasistatic fluid-structure interaction whereby the material derivative is considered as a tool for linearisation. Assuming the linear kinematics framework for the first proposed model, the nonlinearity in the Biot continuum is introduced in terms of the material coefficients which are expressed as linear functions of the macroscopic response. These functions are obtained by the sensitivity analysis of the homogenized coefficients computed for a given geometry of the porous structure which transforms as a result of the local deformation. The second model is derived in the framework of the Eulerian formulation allowing for the large deformation kinematics. The proposed sensitivity analysis approach to handle deformation-dependent material coefficients avoids solving local microscopic problems for updated configurations. It appears that difference between the linear and nonlinear models depends also on the microstructure of the porous medium; this observation is supported by the numerical examples. This paper is concerned with modeling nonlinear effects in deforming porous fluid saturated media. The proposed modelling approaches are based on the homogenization of quasistatic fluid-structure interaction whereby the material derivative is considered as a tool for linearisation. Assuming the linear kinematics framework for the first proposed model, the nonlinearity in the Biot continuum is introduced in terms of the material coefficients which are expressed as linear functions of the macroscopic response. These functions are obtained by the sensitivity analysis of the homogenized coefficients computed for a given geometry of the porous structure which transforms as a result of the local deformation. The second model is derived in the framework of the Eulerian formulation allowing for the large deformation kinematics. The proposed sensitivity analysis approach to handle deformation-dependent material coefficients avoids solving local microscopic problems for updated configurations. It appears that difference between the linear and nonlinear models depends also on the microstructure of the porous medium; this observation is supported by the numerical examples. (en)
Title	On Modelling Nonlinear Phenomena in Deforming Heterogeneous Media using Homogenization and Sensitivity Analysis Concepts On Modelling Nonlinear Phenomena in Deforming Heterogeneous Media using Homogenization and Sensitivity Analysis Concepts (en)
skos:prefLabel	On Modelling Nonlinear Phenomena in Deforming Heterogeneous Media using Homogenization and Sensitivity Analysis Concepts On Modelling Nonlinear Phenomena in Deforming Heterogeneous Media using Homogenization and Sensitivity Analysis Concepts (en)
skos:notation	RIV/49777513:23520/14:43923613!RIV15-GA0-23520___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0090), P(GA13-00863S)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Rohan, Eduard Lukeš, Vladimír
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	34326
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/14:43923613
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	nonlinear problems.; sensitivity analysis; homogenization; Biot model; porous media; Multiscale modelling (en)
http://linked.open.../riv/klicoveSlovo	homogenization sensitivity analysis porous media Multiscale modelling Biot model nonlinear problems.
http://linked.open...ontrolniKodProRIV	[2EEC8F6E868E]
http://linked.open...v/mistoKonaniAkce	Naples, Italy
http://linked.open...i/riv/mistoVydani	Stirlingshire
http://linked.open...i/riv/nazevZdroje	Proceedings of the Twelfth International Conference on Computational Structures Technology
http://linked.open...in/vavai/riv/obor	JI
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Semilinear and Quasilinear Differential Equations: Existence and Multiplicity Results NTIS - New Technologies for Information Society
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Lukeš, Vladimír Rohan, Eduard
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2014-09-02 (xsd:date)
issn	1759-3433
number of pages	20 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Civil Comp Press
https://schema.org/isbn	978-1-905088-61-4
http://localhost/t...ganizacniJednotka	23520

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