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 …

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 …

Adaptive higher-order phase-field modeling of anisotropic brittle fracture in 3D polycrystalline materials

N Nguyen-Thanh, W Li, J Huang, K Zhou - Computer Methods in Applied …, 2020 - Elsevier
Due to its ability to simulate complex microstructure evolution, the phase-field modeling has
been extensively developed to investigate brittle fracture in recent years. However, low …

The variational collocation method

H Gomez, L De Lorenzis - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
We propose the variational collocation method for the numerical solution of partial
differential equations. The conceptual basis is the establishment of a direct connection …

Shape optimization directly from CAD: An isogeometric boundary element approach using T-splines

H Lian, P Kerfriden, SPA Bordas - Computer Methods in Applied Mechanics …, 2017 - Elsevier
We develop a T-spline isogeometric boundary element method (IGABEM)(Simpson et al.,
2012; Scott et al., 2013; Simpson et al., 2014) to shape sensitivity analysis and gradient …

An interactive geometry modeling and parametric design platform for isogeometric analysis

MC Hsu, C Wang, AJ Herrema, D Schillinger… - … & Mathematics with …, 2015 - Elsevier
In this paper an interactive parametric design-through-analysis platform is proposed to help
design engineers and analysts make more effective use of Isogeometric Analysis (IGA) to …

An isogeometric collocation method using superconvergent points

C Anitescu, Y Jia, YJ Zhang, T Rabczuk - Computer Methods in Applied …, 2015 - Elsevier
We develop an IGA collocation method modified by collocating at points other than the
standard Greville abscissae. The method is related to orthogonal collocation used for …

An isogeometric collocation approach for Bernoulli–Euler beams and Kirchhoff plates

A Reali, H Gomez - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
In this paper, IGA collocation methods are for the first time introduced for the solution of thin
structural problems described by the Bernoulli–Euler beam and Kirchhoff plate models. In …

Isogeometric dual mortar methods for computational contact mechanics

A Seitz, P Farah, J Kremheller, BI Wohlmuth… - Computer Methods in …, 2016 - Elsevier
In recent years, isogeometric analysis (IGA) has received great attention in many fields of
computational mechanics research. Especially for computational contact mechanics, an …

Single-variable formulations and isogeometric discretizations for shear deformable beams

J Kiendl, F Auricchio, TJR Hughes, A Reali - Computer Methods in Applied …, 2015 - Elsevier
We present numerical formulations of Timoshenko beams with only one unknown, the
bending displacement, and it is shown that all variables of the beam problem can be …