Nitsche’s finite element method for model coupling in elasticity

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. •First presentation of hybrid Nitsche for elasticity.•First time model coupling is interpreted in the hybridized Nitsche framework.•First presentation of cohesive coupling to lower-dimensional models.•First time cohesive contact has been presented for elasticity.