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Stein, Erwin

The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering

Stein, Erwin - The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering, ebook

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ISBN: 9783642399053
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Table of contents

Part I. Mechanical Conservation Principles, Variational Calculus and Engineering Applications from the 17th to the 20th Century

1. The Origins of Mechanical Conservation Principles and Variational Calculus in the 17th Century
Erwin Stein

2. Principles of Least Action and of Least Constraint
Ekkehard Ramm

3. Lagrange’s “Récherches sur la libration de la lune”
Hartmut Bremer

4. The Development of Analytical Mechanics by Euler, Lagrange and Hamilton – From a Student’s Point of View
Maximilian Gerstner, Patrick R. Schmitt, Paul Steinmann

5. Heun and Hamel – Representatives of Mechanics around 1900
Hartmut Bremer

6. The Machine of Bohnenberger
Jörg F. Wagner, Andor Trierenberg

7. On the Historical Development of Human Walking Dynamics
Werner Schiehlen

Part II. Material Theories of Solid Continua and Solutions of Engineering Problems

8. On the History of Material Theory – A Critical Review
Albrecht Bertram

9. Some Remarks on the History of Plasticity – Heinrich Hencky, a Pioneer of the Early Years
Otto T. Bruhns

10. Prandtl-Tomlinson Model: A Simple Model Which Made History
Valentin L. Popov, J. A. T. Gray

11. A Historical View on Shakedown Theory
Dieter Weichert, Alan Ponter

12. Some Remarks on the History of Fracture Mechanics
Dietmar Gross

13. Porous Media in the Light of History
Wolfgang Ehlers

14. Parameter Identification in Continuum Mechanics: From Hand-Fitting to Stochastic Modelling
Rolf Mahnken

15. Historical Development of the Knowledge of Shock and Blast Waves
Torsten Döge, Norbert Gebbeken

16. The Historical Development of the Strength of Ships
Eike Lehmann

Part III. Theories, Engineering Solutions and Applications in Fluid Dynamics

17. The Development of Fluid Mechanics from Archimedes to Stokes and Reynolds
Oskar Mahrenholtz

18. The Millennium-Problem of Fluid Mechanics – The Solution of the Navier-Stokes Equations
Egon Krause

19. On Non-uniqueness Issues Associated with Fröhlich’s Solution for Boussinesq’s Concentrated Force Problem for an Isotropic Elastic Halfspace
A. Patrick S. Selvadurai

20. Essential Contributions of Austria to Fluid Dynamics Prior to the End of World War II
Helmut Sockel

Part IV. Numerical Methods in Solid Mechanics from Engineering Intuition and Variational Calculus

21. From Newton’s Principia via Lord Rayleigh’s Theory of Sound to Finite Elements
Lothar Gaul

22. History of the Finite Element Method – Mathematics Meets Mechanics – Part I: Engineering Developments
Erwin Stein

23. History of the Finite Element Method – Mathematics Meets Mechanics – Part II: Mathematical Foundation of Primal FEM for Elastic Deformations, Error Analysis and Adaptivity
Erwin Stein

Keywords: Engineering, Continuum Mechanics and Mechanics of Materials, Appl.Mathematics/Computational Methods of Engineering, History of Mathematical Sciences, Applications of Mathematics

Author(s)
Publisher
Springer
Publication year
2014
Language
en
Edition
2014
Series
Lecture Notes in Applied Mathematics and Mechanics
Category
Technology, Energy, Traffic
Format
Ebook
eISBN (PDF)
9783642399053

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