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The scaled boundary finite element method : introduction to theory and implementation

Author: Chongmin Song
Publisher: Hoboken, New Jersey : John Wiley & Sons, 2018.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
An informative look at the theory, computer implementation, and application of the scaled boundary finite element method' This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Song, Chongmin, author.
Scaled boundary finite element method
Hoboken, New Jersey : John Wiley & Sons, 2018
(DLC) 2018003949
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Chongmin Song
ISBN: 9781119388456 1119388457 9781119388463 1119388465 9781119388487 1119388481
OCLC Number: 1027729071
Description: 1 online resource
Contents: Basic formulations of the scaled boundary finite element method --
Solution by eigenvalue decomposition --
Automatic polygon mesh generation --
Modelling considerations --
Derivation in three dimensions --
Solution in statics by Schur decomposition --
Highorder elements --
Quadtree/octree algorithm of mesh generation --
Linear elastic fracture mechanics.
Responsibility: by Chongmin Song.

Abstract:

An informative look at the theory, computer implementation, and application of the scaled boundary finite element method' This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials.' The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images.-Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method -Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples -Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method'especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

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