A framework for development of surface smoothing procedures in large deformation frictional contact analysis

By V. Padmanabhan, T. Laursen. 2001

115 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9ceebeaa1da00d46e0a2c9e5d1be13ef5aa478d3

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS (2012, methodology): “In order to alleviate some of these undesirable observations, various geometrical smoothing techniques have been developed based on Hermite, Bézier and NURBS descriptions [18,12,19,61,20,42,62,35,56,39,36].”
A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method (2012, methodology): “even compromise the banded structure of the stiffness matrix [28].”
On the contact domain method: A comparison of penalty and Lagrange multiplier implementations (2012, unknown): “Draw bead simulation The third example is taken from a well known simulation, [15], used in metal forming industry, where a metal sheet is deformed into the desired configuration by the punch and the die.”
Applying Nagata patches to smooth discretized surfaces used in 3D frictional contact problems (2014, background): “The application of a smooth description for the master surface avoids the occurrence of these problems during the enforcement of the contact conditions [18,30].”
Covariant description for frictional contact problems (2005, background): “Various techniques based on smooth approximations of contact surfaces can be found in [16], [4], [1], [21].”
An unbiased computational contact formulation for 3D friction (2015, unknown): “Here the surface interpolation is used directly within the interpolation of the deformation ﬁeld, which distinguishes the formulations from surface smoothing methods that have been used in the past for friction, e.g. see [18; 19; 20].”
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].”