Nitsche’s finite element method for model coupling in elasticity. (English) Zbl 1507.74475
Summary: 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.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 74A50 | Structured surfaces and interfaces, coexistent phases |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
Software:
CutFEMReferences:
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