Isogeometric analysis: an overview and computer implementation aspects

VP Nguyen, C Anitescu, SPA Bordas… - … and Computers in …, 2015 - Elsevier
Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …

A review of trimming in isogeometric analysis: challenges, data exchange and simulation aspects

B Marussig, TJR Hughes - Archives of computational methods in …, 2018 - Springer
We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …

[图书][B] Isogeometric analysis: toward integration of CAD and FEA

JA Cottrell, TJR Hughes, Y Bazilevs - 2009 - books.google.com
“The authors are the originators of isogeometric analysis, are excellent scientists and good
educators. It is very original. There is no other book on this topic.”—René de Borst …

[图书][B] Numerical models for differential problems

A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …

The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models

D Schillinger, M Ruess - Archives of Computational Methods in …, 2015 - Springer
The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

An extended isogeometric thin shell analysis based on Kirchhoff–Love theory

N Nguyen-Thanh, N Valizadeh, MN Nguyen… - Computer Methods in …, 2015 - Elsevier
An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

Isogeometric finite element data structures based on Bézier extraction of NURBS

MJ Borden, MA Scott, JA Evans… - International Journal for …, 2011 - Wiley Online Library
We present the B'ezier extraction operator and isogeometric Bézier elements for non‐
uniform rational B‐Spline (NURBS)‐based isogeometric analysis. The Bézier extraction …

Fluid–structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation

MC Hsu, D Kamensky, Y Bazilevs, MS Sacks… - Computational …, 2014 - Springer
We propose a framework that combines variational immersed-boundary and arbitrary
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …

Isogeometric shell analysis: the Reissner–Mindlin shell

DJ Benson, Y Bazilevs, MC Hsu, TJR Hughes - Computer Methods in …, 2010 - Elsevier
A Reissner–Mindlin shell formulation based on a degenerated solid is implemented for
NURBS-based isogeometric analysis. The performance of the approach is examined on a …

Isogeometric boundary element analysis using unstructured T-splines

MA Scott, RN Simpson, JA Evans, S Lipton… - Computer Methods in …, 2013 - Elsevier
We couple collocated isogeometric boundary element methods and unstructured analysis-
suitable T-spline surfaces for linear elastostatic problems. We extend the definition of …