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 …

[HTML][HTML] Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results

H Askes, EC Aifantis - International Journal of Solids and Structures, 2011 - Elsevier
In this paper, we discuss various formats of gradient elasticity and their performance in static
and dynamic applications. Gradient elasticity theories provide extensions of the classical …

Multi-frequency acoustic topology optimization of sound-absorption materials with isogeometric boundary element methods accelerated by frequency-decoupling and …

LL Chen, H Lian, S Natarajan, W Zhao, XY Chen… - Computer Methods in …, 2022 - Elsevier
The paper presents a novel approach for multi-frequency acoustic topology optimization of
sound-absorption materials. In this work, the isogeometric boundary element method based …

[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 …

Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials

J Kiendl, MC Hsu, MCH Wu, A Reali - Computer Methods in Applied …, 2015 - Elsevier
We present formulations for compressible and incompressible hyperelastic thin shells which
can use general 3D constitutive models. The necessary plane stress condition is enforced …

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

TJR Hughes, JA Cottrell, Y Bazilevs - Computer methods in applied …, 2005 - Elsevier
The concept of isogeometric analysis is proposed. Basis functions generated from NURBS
(Non-Uniform Rational B-Splines) are employed to construct an exact geometric model. For …

[图书][B] Computational contact mechanics

P Wriggers, TA Laursen - 2006 - Springer
Contact mechanics has its application in many engineering problems. No one can walk
without frictional contact, and no car would move for the same reason. Hence contact …

Isogeometric shell analysis with Kirchhoff–Love elements

J Kiendl, KU Bletzinger, J Linhard… - Computer methods in …, 2009 - Elsevier
A Kirchhoff–Love shell element is developed on the basis of the isogeometric approach [16].
NURBS as basis functions for analysis have proven to be very efficient and offer the great …

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 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 …