Reference : Isogeometric analysis: an overview and computer implementation aspects
Learning materials : Other
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
Isogeometric analysis: an overview and computer implementation aspects
Nguyen, Vinh-Phu []
Anitescu, Cosmin []
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Rabczuk, Timon []
University of Luxembourg
Legato Lab Report
[en] isogeometric analysis, linear elasticity, Matlab⃝R , NURBS, finite elements, partition of unity, enrichment, 3D cracks, boundary conditions, CAD, large displacements and rotations, shells ; IGA ; Implementation ; MATLAB ; Code ; tutorial ; primer
[en] Isogeometric analysis (IGA) represents a recently developed technology in computational mechanics that offers the possibility of integrating methods for analysis and Computer Aided Design (CAD) into a single, unified process. The implications to practical engineering design scenarios are profound, since the time taken from design to analysis is greatly reduced, leading to dramatic gains in efficiency. The tight coupling of CAD and analysis within IGA requires knowledge from both fields and it is one of the goals of the present paper to outline much of the commonly used notation. In this manuscript, through a clear and simple Matlab⃝R implementation, we present an introduction to IGA applied to the Finite Element (FE) method and related computer implementation aspects. Furthermore, implemen- tation of the extended IGA which incorporates enrichment functions through the partition of unity method (PUM) is also presented, where several examples for both two-dimensional and three-dimensional fracture are illustrated. The open source Matlab⃝R code which accompanies the present paper can be applied to one, two and three-dimensional problems for linear elasticity, linear elastic fracture mechanics, structural mechanics (beams/plates/shells including large displacements and rotations) and Poisson problems with or without enrichment. The B ́ezier extraction concept that allows FE analysis to be performed efficiently on T-spline geometries is also incorporated. The article includes a summary of recent trends and developments within the field of IGA.
Researchers ; Professionals ; Students ; General public ; Others
FP7 ; 289361 - INSIST - Integrating Numerical Simulation and Geometric Design Technology

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iga.pdfLong version including code detailsPublisher postprint1.64 MBView/Open

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iga.pdfLong version including code details1.64 MBView/Open
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igafem-v2.zipMATLAB CODE IGAFEM v2 from Source Forge MBView/Open

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