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A simple skew-symmetric Nitsche's formulation is introduced into theframework of isogeometric analysis (IGA) to deal with various problems in smallstrain elasticity: essential boundary conditions, symmetry conditions forKirchhoff plates, patch coupling in statics and in modal analysis as well asSignorini contact conditions. For linear boundary or interface conditions, theskew-symmetric formulation is parameter-free. For contact conditions, itremains stable and accurate for a wide range of the stabilization parameter.Several numerical tests are performed to illustrate its accuracy, stability andconvergence performance. We investigate particularly the effects introduced byNitsche's coupling, including the convergence performance and condition numbersin statics as well as the extra "outlier" frequencies and correspondingeigenmodes in structural dynamics. We present the Hertz test, the block test,and a 3D self-contact example showing that the skew-symmetric Nitsche'sformulation is a suitable approach to simulate contact problems in IGA.

Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact