The node-to-segment algorithm for 2D frictionless contact: Classical formulation and special cases

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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”
Applying Nagata patches to smooth discretized surfaces used in 3D frictional contact problems (2014, methodology): “Regarding the last issue, the most widely used contact surface discretization scheme is the Node-to-Segment (NTS) approach, which enforces contact boundary conditions at the finite element nodes using the master–slave formulation [1,2,10,19].”
On the contact domain method: A comparison of penalty and Lagrange multiplier implementations (2012, background): “Compression of two blocks with non-matching surface Let us first consider a simple example, (as analyzed in [26]), where a rectangular block is pressed against a second block having a concave upper surface (see.”