Nitsche's Finite Element Method for Model Coupling in Elasticity
Peter Hansbo, Mats G. Larson
TL;DR
This paper introduces a Nitsche finite element method for coupling Euler--Bernoulli beams with axial stiffness into a 2D elastic domain, enabling weak coupling of independent discretizations.
Contribution
It develops a novel hybridized Nitsche finite element approach for model coupling in elasticity involving beam and bulk domains.
Findings
Effective weak coupling of beam and bulk models
Independent triangulation of subdomains
Framework applicable to complex elastic systems
Abstract
We develop a Nitsche finite element method for a model of Euler--Bernoulli beams with axial stiffness embedded in a two--dimensional 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 in the framework of hybridization.
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