A mechanically consistent model for fluid–structure interactions with contact including seepage

We present a new approach for the mechanically consistent modelling and simulation of fluid–structure interactions (FSI) with contact. The fundamental idea consists of combining a relaxation of the contact conditions with the modelling of seepage through a porous layer of co-dimension one during con...

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Bibliographic Details
Published inComputer methods in applied mechanics and engineering Vol. 392; p. 114637
Main Authors Burman, Erik, Fernández, Miguel A., Frei, Stefan, Gerosa, Fannie M.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 15.03.2022
Elsevier BV
Elsevier
Subjects
Contact mechanics
Darcy equation
Fluid-structure interaction
Mathematics
Mechanical consistency
Nitsche’s method
Numerical Analysis
Seepage
Seepage
Fluid–structure interaction
Darcy equation
Mechanical consistency
Nitsche’s method
Contact mechanics
Finite elements
Fluid-structure interaction
Nitsche's method
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Summary:We present a new approach for the mechanically consistent modelling and simulation of fluid–structure interactions (FSI) with contact. The fundamental idea consists of combining a relaxation of the contact conditions with the modelling of seepage through a porous layer of co-dimension one during contact. For the latter, a Darcy model is considered in a thin porous layer attached to a solid boundary in the limit of infinitesimal thickness. The resulting computational model is both mechanically consistent and simple to implement. The FSI coupling and the contact conditions are imposed weakly by means of a unified Nitsche approach. We analyse the approach in detailed numerical studies with both thick- and thin-walled solids, within a fully Eulerian and an immersed approach and using fitted and unfitted finite element discretisations.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2022.114637