Studies of Refinement and Continuity in Isogeometric Structural Analysis (Preprint)

By J. Cottrell, Thomas J. R. Hughes, Alessandro Reali. 2007

702 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/02552118e14e52bb67970cbba7d77f40c1dd7ef1

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In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity (2019, background): “In particular, several investigations have demonstrated superior robustness and accuracy per degree of freedom [9, 30, 36], and excellent spectral behavior has been shown in a number of studies [19, 23, 31, 32] explaining the excellent results ob20 tained in applications such as structural dynamics ”
Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations (2010, background): “Isogeometric analysis is a generalization of finite element analysis possessing several advantages [6,7,10,19,25,35,40,41,53].”
Isogeometric design of elastic arches for maximum fundamental frequency (2011, methodology): “Proper computational models are obtained by employing the h-, p-, or k-refinement schemes (Cottrell et al. 2007).”
Isogeometric analysis and domain decomposition methods (2012, methodology): “Isogeometric analysis (see [23,8]) has been developed to link both worlds, using NURBS as a basis for Galerkin-based discretization schemes.”
Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials (2015, unknown): “Keywords: Isogeometric; Kirchhoff–Love; Thin shell; Hyperelastic; Finite strain; Nonlinear material; Incompressibility”
Duality and unified analysis of discrete approximations in structural dynamics and wave propagation : Comparison of p-method finite elements with k-method NURBS (2008, background): “The interested reader may find more details and applications in [2,7,8,15,19]:”
Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics (2014, unknown): “[16, 17, 18].”
T-spline based XIGA for fracture analysis of orthotropic media (2015, background): “Another alternative is to enforce C continuity on the interfaces between patches [50] by utilizing constraint equations for the control points and variables.”