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Boundary Element Methods for Engineers Part II

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Boundary Element Methods for Engineers: Part II

Plane Elastic Problems

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Roger Fenner

Boundary Element Methods

for Engineers

Part II: Plane Elastic Problems

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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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Boundary Element Methods for Engineers:

Part II: Plane Elastic Problems

4

Contents

Contents

Some Program Variable Names 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

5

Contents

2.5 Quadratic Boundary Elements 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

Appendix A: Gaussian Quadrature Part I

Appendix B: Gaussian Elimination Part I

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