The Scaled Boundary Finite Element Method (Hardback)

Condition

VERY GOOD: This book is in excellent condition, showing only the slightest sign of use and wear.

NOTE: British spelling.

Product Details

Also from the back cover: "The book serves two goals which can be pursued independently. Part I is a primer, with a model problem addressing the simplest wave propagation but still containing all essential features. Part II derives the fundamental equations for statics, elastodynamics and diffusion, and discusses the solution procedures from scratch in great detail.

"In summary this comprehensive text presents a novel procedure which will be of interest not only to engineers, researchers and students working in engineering mechanics, acoustics, heat-transfer, earthquake engineering, electromagnetism, and computational mathematics, but also consulting engineers dealing with nuclear structures, offshore platforms, hardened structures, critical facilities, dams, machine foundations and other structures subjected to earthquakes, wave loads, explosions and traffic."

Foreword/Preface

1. Fundamentals of Numerical Analysis
2. Novel Computational Procedure

Part I: Model Problem: Line Element for Scalar Wave Equation

3. Concepts of Scaled Boundary Transformation of Geometry and Similarity
4. Wedge and Truncated Simi-Infinite Wedge of Shear Plate
5. Scaled Boundary Transformation-Based Derivation
6. Mechanically-Based Derivation
7. Modelisation with Single Line Finite Element
8. Statics
9. Mass of Wedge
10. High-Frequency Asymptotic Expansion for Dynamic Stiffness of Truncated Semi-Infinite Wedge
11. Numerical Solutions of Dynamic Stiffness, Unit-Impulse Response and Displacement of Truncated Semi-Infinite Wedge
12. Analytical Solution in Frequency Domain
13. Implementation
14. Concusions

Appendices A, B, C, D conclude Part I.

Part II: Two- and Three-Dimensional Elastodynamics, Statics and Diffusion

15. Fundamental Equations
16. Statics
17. Mass Matrix of Bounded Medium
18. High-Frequency Asymptotic Expansion for Dynamic Stiffness of Unbounded Medium
19. Analytical Solution in Frequency Domain
20. Extensions
21. Substructuring
22. Examples for Bounded Media
23. Examples for Unbounded Media
24. Error Estimation and Adaptivity
25. Concluding Remarks

A References section and an Index conclude the book.