The Mathematical Foundation of Structural Mechanics

1. Front Matter

   Pages I-XII

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2. Introduction

   • Friedel Hartmann

   Pages 1-8

3. Fundamentals

   • Friedel Hartmann

   Pages 9-42

4. Work and Energy

   • Friedel Hartmann

   Pages 43-74

5. Continuous Beams, Trusses and Frames

   • Friedel Hartmann

   Pages 75-97

6. Energy Principles

   • Friedel Hartmann

   Pages 98-140

7. Concentrated Forces

   • Friedel Hartmann

   Pages 141-192

8. Influence Functions

   • Friedel Hartmann

   Pages 193-243

9. The Operators A

   • Friedel Hartmann

   Pages 244-271

10. Shells

    • Friedel Hartmann

    Pages 272-282

11. Second-Order Analysis

    • Friedel Hartmann

    Pages 283-310

12. Nonlinear Theory of Elasticity

    • Friedel Hartmann

    Pages 311-335

13. Finite Elements

    • Friedel Hartmann

    Pages 336-364

14. Back Matter

    Pages 365-371

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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 ........................................................ .

• civil engineering
• hospital
• mechanics
• structural mechanics

• Department of Civil Engineering, University of Dortmund, Dortmund 50, Germany

  Friedel Hartmann

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