Isogeometric large deformation frictionless contact using T-splines

By Rossana Dimitri, Laura De Lorenzis, Michael A. Scott, Peter Wriggers, Robert Taylor, Giorgio Zavarise. 2014

137 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/fe3c2577b2d801ad1e55621d0724a6f0bd52791a

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In Computational Mechanics

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

The variational collocation method (2016, background): “, in solid mechanics [24, 25, 26, 27, 28, 29], fluid dynamics [10, 30, 31, 32], phase-field modeling [33, 34, 35], contact mechanics [36, 37], biomechanics [38, 39] and fluid-structure interaction [40, 41, 42, 43].”
Mathematical analysis of variational isogeometric methods* (2014, methodology): “Today they are probably the most popular approach among engineers: for example, they have been used for shell problems (Hosseini, Remmers, Verhoosel and Borst 2013), fluid–structure interaction problems (Bazilevs, Hsu and Scott 2012) and contact mechanics simulation (Dimitri et al. 2014).”
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”
Isogeometric collocation using analysis-suitable T-splines of arbitrary degree (2016, methodology): “Relevant advances have been carried out since then: mathematical background of T-splines has been studied [52, 53, 54, 55], several procedures to create volumetric T-splines have been designed [56, 57, 58, 59, 60], the conversion of a trimmed NURBS surface to an untrimmed T-spline surface was tackle”
Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams (2016, methodology): “Over the last decade, IGA has become a well-established method used in a wide range of problems including structural mechanics [3–12] with recent developments for spatial Bernoulli beams [13,14], turbulent flow and fluid–structure interaction [15–20].”
Isogeometric collocation: Neumann boundary conditions and contact (2015, unknown): “Among the most widely used contact formulations within the Galerkin framework, the node-to-surface (NTS) algorithm is known to fail the contact patch test, as the local enforcement of the nonpenetration condition at the slave nodes leads to local violation of the equilibrium of moments at the contac”