An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact

An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact

Liu, D.
van den Boom, S.J.
Simone, A.
Aragon, A.M.

2022

We propose an enriched finite element formulation to address the computational modeling of contact problems and the cou pling of non-conforming discretizations in the small deformation setting. The displacement field is augmented by enriched terms that are associated with generalized degrees of freedom collocated along non-conforming interfaces or contact surfaces. The enrichment strategy effectively produces an enriched node-to-node discretization that can be used with any constraint enforcement criterion; this is demonstrated with both multi-point constraints and Lagrange multipliers, the latter in a general ized Newton implementation where both primal and Lagrange multiplier fields are updated simultaneously. We show that the node-to-node enrichment ensures continuity of the displacement field—without locking—in mesh coupling problems, and that tractions are transferred accurately at contact interfaces without the need for stabilization. We also show the formulation is stable with respect to the condition number of the stiffness matrix by using a simple Jacobi-like diagonal preconditioner.

Enriched FEM
IGFEM
Non-conforming meshes
Contact
Lagrange multipliers
Multiple-point constraints
Buildings and Infrastructures
2015 Urbanisation

http://resolver.tudelft.nl/uuid:4e796f9e-7a34-4a96-88c6-12ca68559241

977794

Computational Mechanics, 70 (70), 477-499

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