Numerical efficiency, locking and unlocking of NURBS finite elements
By R. Echter, Manfred Bischoff. 2010
194 citations recorded by the source corpus.
Subfields: Computational Mechanics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/9bd852e07c9e78d3bf36f30014f6cd0c7b3bb0f1
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
- Stéphane P.A. Bordas
- Timon Rabczuk
- L. Beirão da Veiga
- Cosmin Anitescu
- Vinh Phu Nguyen
- Emilio Turco
- Antonio Cazzani
- L. Greco
In Mechanics of Materials
- Stéphane P.A. Bordas
- Timon Rabczuk
- L. Beirão da Veiga
- Vinh Phu Nguyen
- Cosmin Anitescu
- Giancarlo Sangalli
- Hung Nguyen-Xuan
- Trung Nguyen-Thoi
Citations in the corpus
- An implicit G1 multi patch B-spline interpolation for Kirchhoff–Love space rod (2014, background): “Substituting the components of the velocity of deformation, expressions (34), (37), (38), (39) and assembling the terms, it becomes”
- Isogeometric analysis: An overview and computer implementation aspects (2012, methodology): “Existing locking removal techniques in standard FEMs were successfully adapted to IGA such as the Discrete Strain Gap method [84], the F/B-bar method [83, 85], the enhanced assumed strain method [86] and mixed formulations [87].”
- Mathematical analysis of variational isogeometric methods* (2014, background): “…models is made possible by the higher regularity of splines; for nonlinear solid mechanics (Elguedj, Bazilevs, Calo and Hughes 2008, Lipton et al. 2010, Echter and Bischoff 2010, Auricchio, Beirão da Veiga, Lovadina and Reali 2010a), shape optimization (Wall, Frenzel and Cyron 2008),…”
- Constitutive models for strongly curved beams in the frame of isogeometric analysis (2016, methodology): “Isogeometric approach generalizes some already used ideas both in finite elements, see [4, 5, 6, 7], and boundary elements [8, 9].”
- Model-Based Control of Soft Robots: A Survey of the State of the Art and Open Challenges (2021, methodology): “Functional expansions are also used in continuum mechanics to approximate the equilibria of rods and beams [70], [71].”