Single-variable formulations and isogeometric discretizations for shear deformable beams

By Josef Kiendl, Ferdinando Auricchio, Thomas J. R. Hughes, Alessandro Reali. 2015

141 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/21b84cfaed296e647a656c746c1b294987aa4cf5

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In Computational Mechanics

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

A locking-free model for Reissner-Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS (2015, background): “[19] who have shown that smooth basis functions with only translational displacement degrees-of-freedom can also be employed successfully for “thick” bending elements.”
Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems (2016, methodology): “Isogeometric analysis in the Galerkin sense (initiated in [14]) which provides straightforward Cp−1 discretizations, for NURBS basis functions of order p ≥ 2, appears as an even more attractive method for higher-order boundary value problems (see [15, 16, 17, 18], for instance) than for lower order ”
Isogeometric collocation using analysis-suitable T-splines of arbitrary degree (2016, background): “Since its introduction, many promising significant works on IGAC were published in different fields, including phase-field modeling [39], contact [40, 41], nonlinear elasticity [41], as well as several interesting studies in the context of structural elements [42, 43, 44, 45, 46].”
Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams (2016, methodology): “IGA-C has been used to successfully solve a new single-variable formulation for shear-deformable beams recently introduced in [31].”
An isogeometric collocation method for frictionless contact of Cosserat rods (2017, background): “Locking-free isogeometric formulations for curved thick beams were presented in [11], whereas in [12] a formulation for shear-deformable beams with only one unknown variable was proposed.”