A simple algorithm for localized construction of non‐matching structural interfaces

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A formulation based on localized Lagrange multipliers for BEM–FEM coupling in contact problems (2008, background): “Large displacements or an extension of the formulation to large slip contact problems would require an algorithm to update the contact frame geometry [27] and to redefine the group of contacting pairs every time that new nodes of the solids come inside or leave the contact frame.”
Mesh tying on curved interfaces in 3D (2003, background): “Introduction Lately, a number of investigators (Dohrmann et al., 2000; Park and Felippa, 2002; Wohlmuth, 2001) have looked at new methods for connecting dissimilar meshes (Figure 1(b)).”
Review of coupling methods for non-matching meshes (2007, methodology): “To be able to deal with non-conforming meshes three-field [12] and even four-field methods [13] have been introduced.”
A modified node‐to‐segment algorithm passing the contact patch test (2009, methodology): “[16] developed an algorithm for interface coupling of independently discretized finite element models.”
A 3D mortar method for solid mechanics (2004, methodology): “The work by Park and Felippa [3] utilize a three eld formulation with an intermediate contact frame (i.e. mesh) to satisfy the patch test for contact and mesh tying.”
An improved interface element with variable nodes for non-matching finite element meshes (2005, methodology): “Similar methods has also been proposed by [1,8,15–17].”