Isogeometric Analysis Toward Integration of CAD and CAE

By Xiaojin Fu. 2011

496 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/17b0049e10adbbbed0a925386151e9ea6717aaf7

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Citations in the corpus

Multiscale isogeometric topology optimization for lattice materials (2017, methodology): “In recent years, isogeometric analysis (IGA) [34,35], where the basis functions of the geometric model are directly used for finite element computations, has much attracted the attention of researchers in a variety of domains, as an efficient alternative to other conventional methods [36–42].”
A locking-free model for Reissner-Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS (2015, background): “It is often said that the development of suitable Finite Element Analysis (FEA) models from Computer Aided Design (CAD) files occupies over 80% of overall analysis time [12].”
Isogeometric collocation using analysis-suitable T-splines of arbitrary degree (2016, methodology): “Isogeometric analysis (IGA) was first introduced ten years ago by [1] with the main aim of bridging Computer Aided Design (CAD) and Finite Element Analysis (FEA).”
Shape optimization of continua using NURBS as basis functions (2013, methodology): “[18,13] presented an isogeometric finite element method in which the NURBS functions are used as the basis functions of isoparametric elements in the finite element method.”
Integration by interpolation and look-up for Galerkin-based isogeometric analysis (2015, methodology): “[14,21], relies on NURBS-parameterizations of the computational (physical) domain.”
Enhancement of the material point method using B‐spline basis functions (2018, unknown): “mi;j ð Þ 1⁄4 ∑ p mpN i;j ð Þ; p;q ð Þ xp (16)”
ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS (2013, methodology): “For the application of B-splines to finite element analysis, see Höllig [23] and Cottrell, Hughes, and Bazilevs [13].”
The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches (2010, unknown): “[40] J.”
The variational collocation method (2016, methodology): “Another important development has been the recent appearance of isogeometric analysis (IGA), a spline-based finite element method which uses smooth basis functions commonly employed in Computer Aided Design (CAD) [4, 5, 6].”
Isogeometric finite element analysis of poroelasticity (2013, methodology): “Indeed, the basic idea of IGA is to use splines, which are the functions commonly used in computer-aided design to describe the geometry, as the basis functions for the analysis rather than the traditional Lagrange polynomial functions [16,17].”
Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis (2017, background): “It appears that isogeometric analysis offers several important advantages over classical finite element analysis, such as increased robustness and accuracy on a per degree-of-freedom basis [17, 26, 35], and improved spectral properties [18, 19, 28], important in hyperbolic problems.”
Constitutive models for strongly curved beams in the frame of isogeometric analysis (2016, background): “Beginning with the seminal work [1], many extensions are contained in [2, 3] and concern a wide range of problems such as vibrations and wave propagations, nearly incompressible solids, fluids, and fluid–structure interaction.”
Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone (2015, methodology): “in 2005 [1] as a novel analysis paradigm aiming at the unification of the fields of computer aided (geometric) design (CAD) and finite element analysis (FEA), see also [2].”
Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems (2014, unknown): “[6].”
The hp‐d‐adaptive finite cell method for geometrically nonlinear problems of solid mechanics (2012, background): “The translation of corresponding geometrical models, usually available in the form of computer-aided design (CAD) or spatial voxel data, into conforming FE discretizations is computationally very expensive, is hard to fully automate, and often leads to error-prone meshes, which have to be improved m”
A fast and general upper-bound limit analysis approach for out-of-plane loaded masonry walls (2017, methodology): “However, NURBS basis functions have the great advantage of representing exactly the geometry of a wide set of curves such as circles, ellipses, and parabolas [32], and of the surfaces that can be generated by these curves.”
A large deformation, rotation-free, isogeometric shell (2011, methodology): “The example calculations are performed with NURBS [17, 34] but Tsplines [4, 19], for example, would work as well.”
Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics (2014, methodology): “With NURBS basis functions, three kinds of refinement can be performed, namely h–, p–, k–refinements; we refer the reader to [16, 17] for a detailed description.”
Isogeometric analysis and domain decomposition methods (2012, methodology): “[7] and the references therein for a comprehensive survey of this topic) we apply NURBS based shape functions for the approximation of displacement based finite elements in space uðiÞ;h 1⁄4 X”