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 …

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 …

A phase-field model for ductile fracture at finite strains and its experimental verification

M Ambati, R Kruse, L De Lorenzis - Computational Mechanics, 2016 - Springer
In this paper, a phase-field model for ductile fracture previously proposed in the
kinematically linear regime is extended to the three-dimensional finite strain setting, and its …

Isogeometric analysis using T-splines

Y Bazilevs, VM Calo, JA Cottrell, JA Evans… - Computer methods in …, 2010 - Elsevier
We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for
isogeometric analysis. We review T-splines as a surface design methodology and then …

An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD …

D Schillinger, L Dede, MA Scott, JA Evans… - Computer Methods in …, 2012 - Elsevier
We explore hierarchical refinement of NURBS as a basis for adaptive isogeometric and
immersed boundary analysis. We use the principle of B-spline subdivision to derive a local …

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 …

An insight on NURBS based isogeometric analysis, its current status and involvement in mechanical applications

V Gupta, A Jameel, SK Verma, S Anand… - Archives of Computational …, 2023 - Springer
The current communication is a state-of-the-art review of the recently developed
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …

Isogeometric fluid-structure interaction: theory, algorithms, and computations

Y Bazilevs, VM Calo, TJR Hughes, Y Zhang - Computational mechanics, 2008 - Springer
We present a fully-coupled monolithic formulation of the fluid-structure interaction of an
incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary …

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 …

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 …