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Partition of Unity Methods: The Extended Finite Element Method (Wiley Series in Computational Mechanics) - Hardcover
Synopsis
First book to offer a guide to the foundations of the XFEM and its implementation A revolution similar to that initiated by the FEM is taking place through the XFEM, which is already implemented in leading commercial packages (ABAQUS, ANSYS, etc.) that are taught at undergraduate and post-graduate levels and to industrial end-users. XFEM provides a detailed overview of the basics around the newly introduced extended finite element method for applications in solving moving boundary problems. XFEM is introduced naturally as an extension of FEM, through simple one dimensional examples which then allow the introduction of higher-dimensional problems. Throughout the book, each key concept is highlighted by the corresponding piece of MATLAB code which is provided via an accompanying web portal. Uniquely, this portal allows readers to obtain real-time feedback and help from an existing community of more than 130 researchers and industrialists. * Demystifies the theory behind XFEM and makes it accessible to all with previous knowledge of the FEM * Provides a simple introduction to XFEM but also provides a range of tools which the reader can build upon to take on a large breadth of more complex problems. * Presents each key theoretical concept in parallel with its implementational aspects in the form of simple MATLAB routines provided along with the book via an interactive companion website and portal * Provides a detailed account of applications of XFEM to fracture mechanics, including techniques absent from current literature
"synopsis" may belong to another edition of this title.
- PublisherWiley
- Publication date2023
- ISBN 10 0470667087
- ISBN 13 9780470667088
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages368
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Partition of Unity Methods (Wiley Series in Computational Mechanics)
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Partition of Unity Methods (Hardcover)
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John Wiley & Sons Inc, New York, 2023
ISBN 10: 0470667087
ISBN 13: 9780470667088
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Hardcover. Condition: new. Hardcover. PARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. Partition of Unity Methods explores all essential topics on this key new technology, including: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEMThe basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vectorAn introduction to the fundamentals of enrichmentA revisitation of the partition of unity enrichmentA description of the geometry of enrichment features, with discussions of level sets for stationary interfacesApplication of XFEM to bio-film, gradient theories, and three dimensional crack propagation Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book. An understanding of the extended finite element method (XFEM) is critical for users, developers, researchers, and engineers working on industrial products. The first guide to the foundations of XFEM and its implementation, this book demystifies the theory behind this method and makes it accessible to anyone with previous knowledge of FEM. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780470667088
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