Contact treatment in isogeometric analysis with NURBS

By Ilker Temizer, Peter Wriggers, Thomas J. R. Hughes. 2011

319 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3757cf78a14dcb2aea14bb09cec2eeebf3174148

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In Computational Mechanics

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Isogeometric analysis: An overview and computer implementation aspects (2012, unknown): “Recent work in this area includes [8, 9, 10, 11, 12].”
Isogeometric analysis and domain decomposition methods (2012, methodology): “[33](4)) using Lagrange multipliers instead of a penalty method and applied it to the problem at hand.”
Isogeometric contact analysis using mortar method (2012, methodology): “In [43, 44] studies were performed on the contact treatment in isogeometric analysis employing mortar formulation in comparison with Lagrange polynomial-based analysis.”
Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS (2012, methodology): “All the geometry information is inherited from the volume by evaluating its parametrization on the contact surfaces [58].”
Isogeometric collocation: Neumann boundary conditions and contact (2015, unknown): “This result was already obtained for NURBS discretizations in a Galerkin framework (see [29,33,30,34]) and is in contrast with the observations made for higher-order Lagrange elements, where the contact stresses feature oscillations at the boundary between active and inactive contact regions, whose ”
A large deformation frictional contact formulation using NURBS‐based isogeometric analysis (2011, methodology): “[15]), it is here evident that results of poor quality are obtained for the frictional stress distributions, with oscillations across the whole contact region whose size decreases with increased resolution.”
An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces (2012, background): “This has been demonstrated for a variety of application areas such as structural vibrations [5, 7], incompressibility [8–10], shells [11–13], fluid-structure interaction [14, 15], turbulence [16–18], phase fields [19, 20], contact [21, 22], fracture [23] and optimization [24, 25].”
An unbiased computational contact formulation for 3D friction (2015, unknown): “Such formulations have recently been developed for frictionless [11; 12; 13; 14] and frictional contact [15; 16; 17].”