Boundary Element Methods for Engineers Part II

BoundaryElementMethodsfor
Engineers:PartII
PlaneElasticProblems
RogerFenner

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Roger Fenner

Boundary Element Methods
for Engineers
Part II: Plane Elastic Problems

2
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Boundary Element Methods for Engineers: Part II: Plane Elastic Problems
1st edition
© 2014 Roger Fenner & bookboon.com
ISBN 978-87-403-0733-7

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Download free eBooks at bookboon.com


Boundary Element Methods for Engineers:
Part II: Plane Elastic Problems

Contents

Contents
Preface

Part I

Notation

Part I

Some Program Variable Names

Part I

1

Introduction

Part I

1.1

Continuum Mechanics Problems

Part I

1.2

Some Practical Engineering Problems

Part I

1.3

Methods for Solving Harmonic and Biharmonic Equations

Part I

2

Boundary Element Analysis of Potential Problems

Part I

2.1

Fundamental Solution

Part I

2.2

Boundary Integral Equation

Part I

2.3

Discretisation of the Boundary Integral Equation

Part I

2.4

Constant Boundary Elements

Part I

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Boundary Element Methods for Engineers:
Part II: Plane Elastic Problems

Contents

2.5

Quadratic Boundary Elements

Part I

2.6

Scaling

Part I

2.7

Solving the Linear Equations

Part I

2.8

Solving Poisson’s Equation

Part I

3

Constant Boundary Element Program for Potential Problems

Part I

3.1

Program BEM2PC

Part I

3.2

Some Test Problems for BEM2PC

Part I

3.3

An Example: Downstream Viscous Flow in a Rectangular Channel

Part I

4

Quadratic Boundary Element Program for Potential Problems

Part I

4.1

Program BEM2PQ

Part I

4.2

Some Test Problems for BEM2PQ

Part I

4.3

An Example: Downstream Viscous Flow in a Rectangular Channel

Part I

4.4

An Example: Heat Conduction in a Domain of Complex Shape

Part I

4.5

Discussion

Part I

Appendix A: Gaussian Quadrature

Part I

Appendix B: Gaussian Elimination

Part I

360°
thinking

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