4.7 Article

Nitsche's finite element method for model coupling in elasticity

Journal

Publisher

ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2022.114707

Keywords

Nitsche's method; Model coupling; Hybrid method; Interface stiffness; Nitsche's method; Model coupling; Hybrid method; Interface stiffness

Funding

  1. Swedish Research Council, Sweden [2017-03911, 2018-05262]
  2. Swedish strategic research programme eSSENCE, Sweden
  3. Swedish Research Council [2017-03911, 2018-05262] Funding Source: Swedish Research Council

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A hybridized Nitsche finite element method was developed for two dimensional elastic interface problems, allowing for modeling of Euler-Bernoulli beams with axial stiffness and weak coupling with elastic subdomains.
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. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

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