Smooth C1‐interpolations for two‐dimensional frictional contact problems

By Peter Wriggers, L. Krstulović-Opara, Joze Korelc. 2001

133 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/63b96b8759d40c98eadbdfaa87a15ec41f86f29a

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Isogeometric contact analysis using mortar method (2012, methodology): “Smoothing techniques have been explored by applying various schemes such as Hermite patches [33,34], Overhauser segments [15], cubic Beziers [35], cubic B-spline [36], Gregory patches [37] or subdivision schemes [38].”
A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method (2012, methodology): “Several techniques are available in the literature, including Bézier, Hermitian or other spline interpolations, Gregory patches, subdivision surfaces [12,23,26,28,31,42], and more recently also NURBS interpolations [24,36].”
A large deformation frictional contact formulation using NURBS‐based isogeometric analysis (2011, methodology): “Such problems have often been faced by introducing smoothing techniques [8–12], some of which involve NURBS interpolation [13, 14].”
Applying Nagata patches to smooth discretized surfaces used in 3D frictional contact problems (2014, background): “Therefore, several alternatives have been suggested to define C(1) smooth surfaces created on faceted finite element meshes using the coordinates of the master nodes [26,28].”
Covariant description for frictional contact problems (2005, background): “[30] shown that for C(1) continuous contact surfaces a continuity problem of internal parameters on the element boundary arises and proposed an algorithm for the 2D case, based on the usage of the path length of the projection point.”