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We propose an enriched finite element formulation to address thecomputational modeling of contact problems and the coupling of non-conformingdiscretizations in the small deformation setting. The displacement field isaugmented by enriched terms that are associated with generalized degrees offreedom collocated along non-conforming interfaces or contact surfaces. Theenrichment strategy effectively produces an enriched node-to-nodediscretization that can be used with any constraint enforcement criterion; thisis demonstrated with both multiple-point constraints and Lagrange multipliers,the latter in a generalized Newton implementation where both primal andLagrange multiplier fields are updated simultaneously. The method's ability toensure continuity of the displacement field -- without locking -- in meshcoupling problems, and to transfer fairly accurate tractions at contactinterfaces -- without the need for contact stabilization -- is demonstrated bymeans of several examples. In addition, we show that the formulation is stablewith respect to the condition number of the stiffness matrix by using a simpleJacobi-like diagonal preconditioner.

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