Ebook: The Mathematical Foundation of Structural Mechanics
- Tags: Theoretical and Applied Mechanics, Civil Engineering
- Year: 1985
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
This book attempts to acquaint engineers who have mastered the essentials of structural mechanics with the mathematical foundation of their science, of structural mechanics of continua. The prerequisites are modest. A good working knowledge of calculus is sufficient. The intent is to develop a consistent and logical framework of theory which will provide a general understanding of how mathematics forms the basis of structural mechanics. Emphasis is placed on a systematic, unifying and rigorous treatment. Acknowledgements The author feels indebted to the engineers Prof. D. Gross, Prof. G. Mehlhorn and Prof. H. G. Schafer (TH Darmstadt) whose financial support allowed him to follow his inclinations and to study mathematics, to Prof. E. Klingbeil and Prof. W. Wendland (TH Darmstadt) for their unceasing effort to achieve the impossible, to teach an engineer mathematics, to the staff of the Department of Civil Engineering at the University of California, Irvine, for their generous hospitality in the academic year 1980-1981, to Prof. R. Szilard (Univ. of Dortmund) for the liberty he granted the author in his daily chores, to Mrs. Thompson (Univ. of Dortmund) and Prof. L. Kollar (Budapest/Univ. of Dortmund) for their help in the preparation of the final draft, to my young colleagues, Dipl.-Ing. S. Pickhardt, Dipl.-Ing. D. Ziesing and Dipl.-Ing. R. Zotemantel for many fruitful discussions, and to cando ing. P. Schopp and Frau Middeldorf for their help in the production of the manuscript. Dortmund, January 1985 Friedel Hartmann Contents Notations ........................................................... XII Introduction ........................................................ .
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-8
Fundamentals....Pages 9-42
Work and Energy....Pages 43-74
Continuous Beams, Trusses and Frames....Pages 75-97
Energy Principles....Pages 98-140
Concentrated Forces....Pages 141-192
Influence Functions....Pages 193-243
The Operators A ....Pages 244-271
Shells....Pages 272-282
Second-Order Analysis....Pages 283-310
Nonlinear Theory of Elasticity....Pages 311-335
Finite Elements....Pages 336-364
Back Matter....Pages 365-371
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-8
Fundamentals....Pages 9-42
Work and Energy....Pages 43-74
Continuous Beams, Trusses and Frames....Pages 75-97
Energy Principles....Pages 98-140
Concentrated Forces....Pages 141-192
Influence Functions....Pages 193-243
The Operators A ....Pages 244-271
Shells....Pages 272-282
Second-Order Analysis....Pages 283-310
Nonlinear Theory of Elasticity....Pages 311-335
Finite Elements....Pages 336-364
Back Matter....Pages 365-371
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