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dc.contributor.authorPiatnitski, Andrey
dc.contributor.authorPtashnyk, Mariya
dc.date.accessioned2018-04-16T11:02:20Z
dc.date.available2018-04-16T11:02:20Z
dc.date.issued2017
dc.description.abstractIn this paper homogenization of a mathematical model for plant tissue biomechanics is presented. The microscopic model constitutes a strongly coupled system of reaction-diffusion-convection equations for chemical processes in plant cells, the equations of poroelasticity for elastic deformations of plant cell walls and middle lamella, and Stokes equations for fluid flow inside the cells. The chemical process in cells and the elastic properties of cell walls and middle lamella are coupled because elastic moduli depend on densities involved in chemical reactions, whereas chemical reactions depend on mechanical stresses. Using homogenization techniques, we derive rigorously a macroscopic model for plant biomechanics. To pass to the limit in the nonlinear reaction terms, which depend on elastic strain, we prove the strong two-scale convergence of the displacement gradient and velocity field. Read More: http://epubs.siam.org/doi/10.1137/15M1046198en_US
dc.descriptionOA, publishers version allowed institutional repository under the Creative Commons Attribution 4.0 International (CC BY) License Link to publishers version: <a href=https://doi.org/10.1137/15M1046198>https://doi.org/10.1137/15M1046198</a>en_US
dc.identifier.citationPiatnitski A, Ptashnyk. Homogenization of biomechanical models for plant tissues. Multiscale Modeling & simulation. 2017;15(1):339-387en_US
dc.identifier.cristinIDFRIDAID 1512312
dc.identifier.doi10.1137/15M1046198
dc.identifier.issn1540-3459
dc.identifier.issn1540-3467
dc.identifier.urihttps://hdl.handle.net/10037/12526
dc.language.isoengen_US
dc.publisherSociety for Industrial and Applied Mathematics (SIAM)en_US
dc.relation.journalMultiscale Modeling & simulation
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.titleHomogenization of biomechanical models for plant tissuesen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.typeTidsskriftartikkelno


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