Why do Boundary Element Analysis
Becker, AA
First Published - February 2004
Softback, 71 Pages
Members Price: £7 ( $14 / €9 )
Non-Members Price: £18 ( $35 / €23 )
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 The main aim of this book is to provide readers with a simple
introduction to the BE method, as an alternative technique to the
FE method, without resorting to complex mathematical theory and
jargon. Throughout the booklet, emphasis will be placed on the
physical significance of the BE theory rather than its mathematical
details. The coverage of the BE method in this booklet is limited
to linear static analysis, with a brief introduction to non-linear
problems. Sufficient references are given to enable readers to seek
further details of BE formulations.
This booklet is aimed at readers who are reasonably familiar with
the FE method and its application to engineering problems. It is
assumed that the reader is a graduate in any engineering
discipline, applied mathematics or physics with no previous
knowledge of the mathematical foundation of BE methods.
Contents
1. Introduction
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- 1.1 What is the Boundary Element method?
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2. A brief History of the BE Method
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- 3. Comparison of BE and FE Methods
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- 3.1 Advantages of the BE Method
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- 3.2 Disadvantages of the BE Method
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- 3.3 Suitability of the BE Method
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4. Frequently-Asked-Questions on BE Methods
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5. Theoretical foundation of the BE Method
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- 5.1 The Differential Equations of Displacements
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- 5.2 The Point Load Solution
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- 5.3 The Reciprocal Work Theorem
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- 5.4 The boundary integral equation
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6. Implementing BE Formulation on a computer
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- 6.1 Division of the Surface into Boundary Elements
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- 6.2 Numerical Integration
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- 6.3 Formation of Linear Algebraic Equations
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- 6.4 Application of the Boundary Conditions
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- 6.5 Solving the Equations
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- 6.6 Computing Internal Displacements and Stresses
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7. Dealing with Non-linear Problems
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- 7.1 BE Analytical Non-Linear Formulations
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- 7.2 BE Numerical Non-Linear Implementation
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8. Some Examples of BE Applications
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- 8.1 Design of a Pressure Vessel Door Closure
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- 8.2 BE Analysis of Fracture Problems
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- 8.3 BE Analysis of Contact Stresses in a Pressure Vessel
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- 8.4 Analysis of Threaded Connections
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- 8.5 Analysis of Thermal Stresses
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- 8.6 BE Analysis of Plasticity in a Perforated Plate
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- 8.7 BE Analysis of 3D contact Problems
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- 8.8 BE Analysis of Inverse Stress Analysis Problems
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9. Concluding Remarks
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References
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Bibliography - A Selection of BE Textbooks
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Members Price: £7 ( $14 / €9 )
Non-Members Price: £18 ( $35 / €23 )
Order Ref:HT29
|
Buy >
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