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

Editors:

ISBN: 978-3-642-39904-6 (Print) 978-3-642-39905-3 (Online)

Table of contents (23 chapters)

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  1. Front Matter

    Pages 1-11

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

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-22

      The Origins of Mechanical Conservation Principles and Variational Calculus in the 17th Century

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      Book Chapter

      Pages 23-43

      Principles of Least Action and of Least Constraint

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      Book Chapter

      Pages 45-59

      Lagrange’s “Récherches sur la libration de la lune”

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      Book Chapter

      Pages 61-72

      The Development of Analytical Mechanics by Euler, Lagrange and Hamilton – From a Student’s Point of View

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      Book Chapter

      Pages 73-80

      Heun and Hamel – Representatives of Mechanics around 1900

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      Book Chapter

      Pages 81-100

      The Machine of Bohnenberger

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      Book Chapter

      Pages 101-116

      On the Historical Development of Human Walking Dynamics

  3. Material Theories of Solid Continua and Solutions of Engineering Problems

    1. Front Matter

      Pages 117-117

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      Book Chapter

      Pages 119-131

      On the History of Material Theory – A Critical Review

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      Book Chapter

      Pages 133-152

      Some Remarks on the History of Plasticity – Heinrich Hencky, a Pioneer of the Early Years

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      Book Chapter

      Pages 153-168

      Prandtl-Tomlinson Model: A Simple Model Which Made History

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      Book Chapter

      Pages 169-193

      A Historical View on Shakedown Theory

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      Book Chapter

      Pages 195-209

      Some Remarks on the History of Fracture Mechanics

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      Book Chapter

      Pages 211-227

      Porous Media in the Light of History

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      Book Chapter

      Pages 229-247

      Parameter Identification in Continuum Mechanics: From Hand-Fitting to Stochastic Modelling

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      Book Chapter

      Pages 249-265

      Historical Development of the Knowledge of Shock and Blast Waves

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      Book Chapter

      Pages 267-295

      The Historical Development of the Strength of Ships

  4. Theories, Engineering Solutions and Applications in Fluid Dynamics

    1. Front Matter

      Pages 297-297

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      Book Chapter

      Pages 299-316

      The Development of Fluid Mechanics from Archimedes to Stokes and Reynolds

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      Book Chapter

      Pages 317-341

      The Millennium-Problem of Fluid Mechanics – The Solution of the Navier-Stokes Equations

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      Book Chapter

      Pages 343-353

      On Non-uniqueness Issues Associated with Fröhlich’s Solution for Boussinesq’s Concentrated Force Problem for an Isotropic Elastic Halfspace

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      Book Chapter

      Pages 355-382

      Essential Contributions of Austria to Fluid Dynamics Prior to the End of World War II

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