A modified node‐to‐segment algorithm passing the contact patch test

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Isogeometric collocation: Neumann boundary conditions and contact (2015, unknown): “Among the most widely used contact formulations within the Galerkin framework, the node-to-surface (NTS) algorithm is known to fail the contact patch test, as the local enforcement of the nonpenetration condition at the slave nodes leads to local violation of the equilibrium of moments at the contac”
A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method (2012, background): “The well-known node-to-surface formulation, while simple and computationally inexpensive, is affected by several pathologies [44], and has been shown not to satisfy the contact patch test [11,38,45], which implies that the errors introduced at the contacting surfaces do not necessarily decrease with”