Ebook: Boundary Element Techniques in Computer-Aided Engineering
- Tags: Computational Mathematics and Numerical Analysis, Electrical Engineering
- Series: NATO ASI Series 84
- Year: 1984
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
This book constitutes the edited proceedings of the Advanced Studies Institute on Boundary Element Techniques in Computer Aided Engineering held at The Institute of Computational Mechanics, Ashurst Lodge, Southampton, England, from September 19 to 30, 1984. The Institute was held under the auspices of the newly launched "Double Jump Programme" which aims to bring together academics and industrial scientists. Consequently the programme was more industr ially based than other NATO ASI meetings, achieving an excellent combination of theoretical and practical aspects of the newly developed Boundary Element Method. In recent years engineers have become increasingly interested in the application of boundary element techniques for'the solution of continuum mechanics problems. The importance of boundary elements is that it combines the advantages of boundary integral equations (i.e. reduction of dimensionality of the problems, possibility of modelling domains extending to infinity, numerical accura'cy) with the versatility of finite elements (i.e. modelling of arbitrary curved surfaces). Because of this the technique has been well received by the engineering and scientific communities. Another important advantage of boundary elements stems from its reduction of dimensionality, that is that the technique requires much less data input than classical finite elements. This makes the method very well suited for Computer Aided Design and in great part explains the interest of the engineering profession in the new technique.
Content:
Front Matter....Pages I-XII
Weighted Residual Formulation of Approximate Methods....Pages 1-22
Boundary Element Methods....Pages 23-56
Boundary Integral Equations....Pages 57-70
Scalar and Vector Potential Theory....Pages 71-83
Potential Problems in Two Dimensions....Pages 85-100
Three-Dimensional and Axisymmetric Potential Problems....Pages 101-110
Heat Transfer Applications....Pages 111-125
Numerical Integration and other Computational Techniques....Pages 127-139
Starting to Work with Boundary Elements....Pages 141-158
Experiences in Boundary Element Applications....Pages 159-176
Electrostatics Problems....Pages 177-189
A Boundary Element Solution of the Wave Equation....Pages 191-199
Elasticity Problems....Pages 201-238
Elasticity Problems with Body Forces....Pages 239-259
Time Dependent Problems....Pages 261-292
Time Dependent Potential Problems....Pages 293-313
Plate Bending Problems....Pages 315-325
A Choice of Fundamental Solutions....Pages 327-343
Formulation for Cracks in Plate Bending....Pages 345-353
Fracture Mechanics Stress Analysis I (Bie for Crack Tip Stress Analysis)....Pages 355-376
Fracture Mechanics Stress Analysis II (Auxiliary Results; A Numerical Example, and Problems of Debond Stress Analysis)....Pages 377-397
B.E.M. in Geomechanics....Pages 399-416
On Asymptotic Error Analysis and Mathematical Principles for Boundary Element Methods....Pages 417-436
Back Matter....Pages 437-440
Content:
Front Matter....Pages I-XII
Weighted Residual Formulation of Approximate Methods....Pages 1-22
Boundary Element Methods....Pages 23-56
Boundary Integral Equations....Pages 57-70
Scalar and Vector Potential Theory....Pages 71-83
Potential Problems in Two Dimensions....Pages 85-100
Three-Dimensional and Axisymmetric Potential Problems....Pages 101-110
Heat Transfer Applications....Pages 111-125
Numerical Integration and other Computational Techniques....Pages 127-139
Starting to Work with Boundary Elements....Pages 141-158
Experiences in Boundary Element Applications....Pages 159-176
Electrostatics Problems....Pages 177-189
A Boundary Element Solution of the Wave Equation....Pages 191-199
Elasticity Problems....Pages 201-238
Elasticity Problems with Body Forces....Pages 239-259
Time Dependent Problems....Pages 261-292
Time Dependent Potential Problems....Pages 293-313
Plate Bending Problems....Pages 315-325
A Choice of Fundamental Solutions....Pages 327-343
Formulation for Cracks in Plate Bending....Pages 345-353
Fracture Mechanics Stress Analysis I (Bie for Crack Tip Stress Analysis)....Pages 355-376
Fracture Mechanics Stress Analysis II (Auxiliary Results; A Numerical Example, and Problems of Debond Stress Analysis)....Pages 377-397
B.E.M. in Geomechanics....Pages 399-416
On Asymptotic Error Analysis and Mathematical Principles for Boundary Element Methods....Pages 417-436
Back Matter....Pages 437-440
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