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From Newton’s Principia via Lord Rayleigh’s Theory of Sound to Finite Elements

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

Part of the book series: Lecture Notes in Applied Mathematics and Mechanics ((LAMM,volume 1))

Introduction

The contribution summarizes the route from synthetic mechanics based on Newton’s and Euler’s axioms via analytical mechanics based on Rayleigh-Ritz method to Finite Elements.

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References

  1. Newton, I.: PHILOSOPHIÆ Naturalis Principia Mathematica. Imprimatur, London (Juli 5, 1686)

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Author information

Authors and Affiliations

  1. Institute of Applied and Experimental Mechanics, Universität Stuttgart, Pfaffenwaldring 9, 70550, Stuttgart, Germany

    Lothar Gaul

Authors
  1. Lothar Gaul
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Correspondence to Lothar Gaul .

Editor information

Editors and Affiliations

  1. Institute of Mechanics and Computational Mechanics (IBNM), Gottfried Wilhelm Leibniz Universität Hannover, Hannover, Germany

    Erwin Stein

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Gaul, L. (2014). From Newton’s Principia via Lord Rayleigh’s Theory of Sound to Finite Elements. In: Stein, E. (eds) The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering. Lecture Notes in Applied Mathematics and Mechanics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39905-3_21

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  • DOI: https://doi.org/10.1007/978-3-642-39905-3_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39904-6

  • Online ISBN: 978-3-642-39905-3

  • eBook Packages: EngineeringEngineering (R0)

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