dc.contributor.author | Boon, Wietse | |
dc.contributor.author | Nordbotten, Jan Martin | |
dc.date.accessioned | 2021-08-09T07:33:46Z | |
dc.date.available | 2021-08-09T07:33:46Z | |
dc.date.created | 2021-02-22T17:03:33Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 1420-0597 | |
dc.identifier.uri | https://hdl.handle.net/11250/2766858 | |
dc.description.abstract | We consider mechanics of composite materials in which thin inclusions are modeled by lower-dimensional manifolds. By successively applying the dimensional reduction to junctions and intersections within the material, a geometry of hierarchically connected manifolds is formed which we refer to as mixed-dimensional. The governing equations with respect to linear elasticity are then defined on this mixed-dimensional geometry. The resulting system of partial differential equations is also referred to as mixed-dimensional, since functions defined on domains of multiple dimensionalities are considered in a fully coupled manner. With the use of a semi-discrete differential operator, we obtain the variational formulation of this system in terms of both displacements and stresses. The system is then analyzed and shown to be well-posed with respect to appropriately weighted norms. Numerical discretization schemes are proposed using well-known mixed finite elements in all dimensions. The schemes conserve linear momentum locally while relaxing the symmetry condition on the stress tensor. Stability and convergence are shown using a priori error estimates and confirmed numerically. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Stable mixed finite elements for linear elasticity with thin inclusions | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright The Author(s) 2020 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1007/s10596-020-10013-2 | |
dc.identifier.cristin | 1892502 | |
dc.source.journal | Computational Geosciences | en_US |
dc.source.pagenumber | 603-620 | en_US |
dc.identifier.citation | Computational Geosciences. 2021, 25, 603-620. | en_US |
dc.source.volume | 25 | en_US |