A large deformation frictional contact formulation using NURBS‐based isogeometric analysis

By Laura De Lorenzis, Ilker Temizer, Peter Wriggers, Giorgio Zavarise. 2011

292 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0dcd5d9603cc8c25b9fce5f8f9b2e8a2117058f4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Computational Theory and Mathematics

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].”
Segment-based vs. element-based integration for mortar methods in computational contact mechanics (2015, methodology): “Over the last years, the research focus shifted from the fundamentals of mortar methods to special applications and improvements of these methods, such as smoothing procedures [48] and isogeometric analysis [6,7,45,46].”
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 [Hansson and Klarbring (1990); Eterovic and Bathe (1991); Heegaard and Curnier (1993); Wriggers and Imhof (1993); Heege and Alart”
Isogeometric analysis and domain decomposition methods (2012, methodology): “Isogeometric analysis has been applied to the field of fluid mechanics [2], structural analysis [9,10,28], shell formulations [3], phase field models [13] and contact problems [33,29].”
An immersogeometric variational framework for fluid–structure interaction: application to bioprosthetic heart valves (2014, unknown): “For the fluid subproblem, this continuity provides special benefits in turbulent flow simulation [72, 73] and, for the structure subproblem, it eliminates the need for extra rotational degrees of freedom in thin shell formulations [74] and better represents sliding contact between smooth surfaces [7”
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 NURBS-based immersed methodology for fluid–structure interaction (2015, methodology): “IGA has been successfully applied to a large number of fields including body-fitted FSI problems [14, 38], fluid mechanics [39, 40], phase-filed models [26, 41, 42, 43, 44, 45], structural vibrations [46, 47], quasi-incompressible elasticity [48], shell modeling [49, 50], contact problems [51, 52, 5”
A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method (2012, background): “[8].”