Meshless methods: an overview and recent developments

T Belytschko, Y Krongauz, D Organ, M Fleming… - Computer methods in …, 1996 - Elsevier
Meshless approximations based on moving least-squares, kernels, and partitions of unity
are examined. It is shown that the three methods are in most cases identical except for the …

Computational strategies for flexible multibody systems

TM Wasfy, AK Noor - Appl. Mech. Rev., 2003 - asmedigitalcollection.asme.org
The status and some recent developments in computational modeling of flexible multibody
systems are summarized. Discussion focuses on a number of aspects of flexible multibody …

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] Meshfree methods: moving beyond the finite element method

GR Liu - 2009 - taylorfrancis.com
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking
WorkReflecting the significant advances made in the field since the publication of its …

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 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 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 analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling

N Nguyen-Thanh, K Zhou, X Zhuang, P Areias… - Computer Methods in …, 2017 - Elsevier
We present an isogeometric thin shell formulation for multi-patches based on rational
splines over hierarchical T-meshes (RHT-splines). Nitsche's method is employed to …

The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches

J Kiendl, Y Bazilevs, MC Hsu, R Wüchner… - Computer Methods in …, 2010 - Elsevier
In this paper we present an isogeometric formulation for rotation-free thin shell analysis of
structures comprised of multiple patches. The structural patches are C1-or higher-order …