B-Spline interpolation of Kirchhoff-Love space rods

By L. Greco, Massimo Cuomo. 2013

260 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/dd7943bd370df671a4f4b400e83bc78e90e22583

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In Computational Mechanics

Citations in the corpus

Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence (2015, methodology): “Furthermore, these meso-models can be developed on the framework of the isogeometric analysis as in [11,12,29,30,82].”
Single-variable formulations and isogeometric discretizations for shear deformable beams (2015, methodology): “Isogeometric analysis has been successfully applied in the context of thin structures, such as Bernoulli-Euler beams and rods, Kirchhoff plates, and KirchhoffLove shells, which necessitate C1-continuity in the displacements [6, 10, 15].”
Identification of multiple open and fatigue cracks in beam-like structures using wavelets on deflection signals (2016, methodology): “The techniques developed in [54–57] will then prove their potentialities.”
Constitutive models for strongly curved beams in the frame of isogeometric analysis (2016, background): “Only recently some papers on 1D problem have been published, even though they are particularly concerned on locking control, see [11, 12, 13, 14, 15, 16].”
Continuum and discrete models for structures including (quasi-) inextensible elasticae with a view to the design and modeling of composite reinforcements (2015, background): “…already confronted for studying (eventually generalized) shell (Garusi et al., 2004; Cazzani and Lovadina, 1997; Cazzani and Ruge, 2012; Ciancio et al., 2006; Contro et al., 1988) and beam (Cuomo and Ventura, 2002; Contro et al., 1988; Cuomo et al., in press; Greco and Cuomo, 2013, 2014) models.”
Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices (2015, background): “This approach can be safely made more effective by introducing isogeometric integration schemes (see e.g. Greco & Cuomo, 2013, 2014; Greco, Impollonia, & Cuomo, 2014; Cazzani et al., 2014a, 2014b, 2015; Turco & Aristodemo, 1998).”
Linear pantographic sheets: Asymptotic micro-macro models identification (2017, background): “[23, 24, 54, 55, 57, 91, 56, 10, 31]) its rate of convergence seems satisfactory for getting preliminary results concerning the behavior of the simplest structures: actually it is based on the introduction of an auxiliary tensor field which appears in the deformation energy and which is equated to t”