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Nitsche's finite element method for model coupling in elasticity
Jönköping University, School of Engineering, JTH, Materials and Manufacturing.ORCID iD: 0000-0001-7352-1550
Department of Mathematics and Mathematical Statistics, Umeå University, Umeå, SE-901 87, Sweden.
2022 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 392, article id 114707Article in journal (Refereed) Published
Abstract [en]

We develop a hybridized Nitsche finite element method for a two dimensional elastic interface problems. Our approach allows for modelling of Euler–Bernoulli beams with axial stiffness embedded in an elastic bulk domain. The beams have their own displacement fields, and the elastic subdomains created by the beam network are triangulated independently and are coupled to the beams weakly by use of Nitsche's method.

Place, publisher, year, edition, pages
Elsevier, 2022. Vol. 392, article id 114707
Keywords [en]
Hybrid method, Interface stiffness, Model coupling, Nitsche's method, Stiffness, Axial stiffness, Displacement field, Elastic interfaces, Euler Bernoulli beams, Interface problems, Nitsche's methods, Two-dimensional, Finite element method
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-55974DOI: 10.1016/j.cma.2022.114707ISI: 000783077800009Scopus ID: 2-s2.0-85124662827Local ID: HOA;;798393OAI: oai:DiVA.org:hj-55974DiVA, id: diva2:1641849
Funder
Swedish Research Council, 2017-03911, 2018-05262eSSENCE - An eScience CollaborationAvailable from: 2022-03-03 Created: 2022-03-03 Last updated: 2022-05-12Bibliographically approved

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Hansbo, Peter

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