Isogeometric analysis. Toward integration of CAD and FEA.

*(English)*Zbl 1378.65009
Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-74873-2/hbk; 978-0-470-74908-1/ebook). xvi, 335 p. (2009).

Publisher’s description: Written by leading experts in the field and featuring fully integrated colour throughout, Isogeometric Analysis provides a groundbreaking solution for the integration of CAD and FEA technologies. Tom Hughes and his researchers, Austin Cottrell and Yuri Bazilevs, present their pioneering isogeometric approach, which aims to integrate the two techniques of CAD and FEA using precise NURBS geometry in the FEA application. This technology offers the potential to revolutionise automobile, ship and airplane design and analysis by allowing models to be designed, tested and adjusted in one integrative stage.

Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique. The authors offer a clear explanation as to how to add isogeometric capabilities to existing finite element computer programs, demonstrating how to implement and use the technology. Detailed programming examples and datasets are included to impart a thorough knowledge and understanding of the material.

Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique. The authors offer a clear explanation as to how to add isogeometric capabilities to existing finite element computer programs, demonstrating how to implement and use the technology. Detailed programming examples and datasets are included to impart a thorough knowledge and understanding of the material.

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- Provides examples of different applications, showing the reader how to implement isogeometric models
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- Addresses readers on both sides of the CAD/FEA divide
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- Describes Non-Uniform Rational B-Splines (NURBS) basis functions

##### MSC:

65-02 | Research exposition (monographs, survey articles) pertaining to numerical analysis |

65D17 | Computer-aided design (modeling of curves and surfaces) |

65D07 | Numerical computation using splines |

65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |

65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |