Ebook: Basic Principles and Applications
- Tags: Appl.Mathematics/Computational Methods of Engineering, Mechanics
- Series: Topics in Boundary Element Research 1
- Year: 1984
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
As the Boundary Element Method develops into a tool of engineering analysis more effort is dedicated to studying new applications and solving different problems. This book contains chapters on the basic principles of the technique, time dependent problems, fluid mechanics, hydraulics, geomechanics and plate bending. The number of non-linear and time dependent problems which have become amenable to solution using boundary elements have induced many researchers to investigate in depth the basis of the method. Chapter 0 of this book presents an ap proach based on weighted residual and error approximations, which permits easy construction of the governing boundary integral equations. Chapter I reviews the theoretical aspects of integral equation formulations with emphasis in their mathematical aspects. The analysis of time dependent problems is presented in Chap. 2 which describes the time and space dependent integral formulation of heat conduction problems and then proposes a numerical procedure and time marching algorithm. Chapter 3 reviews the application of boundary elements for fracture mechanics analysis in the presence of thermal stresses. The chapter presents numerical results and the considerations on numerical accuracy are of interest to analysts as well as practising engineers.
Content:
Front Matter....Pages I-XIII
Boundary Integral Formulations....Pages 1-12
A Review of the Theory....Pages 13-40
Applications in Transient Heat Conduction....Pages 41-58
Fracture Mechanics Application in Thermoelastic States....Pages 59-77
Applications of Boundary Element Methods to Fluid Mechanics....Pages 78-96
Water Waves Analysis....Pages 97-122
Interelement Continuity in the Boundary Element Method....Pages 123-141
Applications in Geomechanics....Pages 142-169
Applications in Mining....Pages 170-203
Finite Deflection of Plates....Pages 204-224
Trefftz Method....Pages 225-253
Back Matter....Pages 255-258
Content:
Front Matter....Pages I-XIII
Boundary Integral Formulations....Pages 1-12
A Review of the Theory....Pages 13-40
Applications in Transient Heat Conduction....Pages 41-58
Fracture Mechanics Application in Thermoelastic States....Pages 59-77
Applications of Boundary Element Methods to Fluid Mechanics....Pages 78-96
Water Waves Analysis....Pages 97-122
Interelement Continuity in the Boundary Element Method....Pages 123-141
Applications in Geomechanics....Pages 142-169
Applications in Mining....Pages 170-203
Finite Deflection of Plates....Pages 204-224
Trefftz Method....Pages 225-253
Back Matter....Pages 255-258
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