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Statics and Influence Functions - from a Modern Perspective

  • Book
  • © 2017

Overview

Authors:
  1. Friedel Hartmann

    1. Department of Civil Engineering, University of Kassel, Kassel, Germany

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    You can also search for this author in PubMed   Google Scholar

  2. Peter Jahn

    1. Dept. of Civil Engineering, University of Kassel , Kassel, Germany

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    You can also search for this author in PubMed   Google Scholar

  • Explains how influence functions can be computed with finite elements
  • Shows that finite element programs use influence functions to calculate the results
  • Shows how the error in the influence functions affects finite element results
  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Basics

    • Friedel Hartmann, Peter Jahn
    Pages 1-75

  3. Betti’s Theorem

    • Friedel Hartmann, Peter Jahn
    Pages 77-137

  4. Finite Elements

    • Friedel Hartmann, Peter Jahn
    Pages 139-222

  5. Betti Extended

    • Friedel Hartmann, Peter Jahn
    Pages 223-244

  6. Stiffness Changes and Reanalysis

    • Friedel Hartmann, Peter Jahn
    Pages 245-284

  7. Singularites

    • Friedel Hartmann, Peter Jahn
    Pages 285-310

  8. Energy Principles of Plates and Slabs and Supplements

    • Friedel Hartmann, Peter Jahn
    Pages 311-336

  9. Postscript

    • Friedel Hartmann, Peter Jahn
    Pages 337-340

  10. Erratum to: Statics and Influence Functions—From a Modern Perspective

    • Friedel Hartmann, Peter Jahn
    Pages E1-E1

  11. Back Matter

    Pages 341-345
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Keywords

About this book

The book teaches engineers many new things about a classical topic which suddenly is again in the center of interest because of its relevance for finite element analysis, for the accuracy of computational methods.


It shows that influence functions play a fundamental role in the finite element analysis of structures and practically all of linear computational mechanics. It also strives to add new and important insights into modern structural analysis and into computational mechanics by establishing the central role of influence functions for the numerical analysis and to lay a new foundation to the energy and variational principles.


Authors and Affiliations

  • Department of Civil Engineering, University of Kassel, Kassel, Germany

    Friedel Hartmann

  • Dept. of Civil Engineering, University of Kassel , Kassel, Germany

    Peter Jahn

About the authors

Friedel Hartmann has been Professor for Civil Engineering at the University of Kassel, Germany. He is author of Greens' Functions and Finite Elements and Structural Analysis with Finite Elements, both published by Springer.

Bibliographic Information

  • Book Title: Statics and Influence Functions - from a Modern Perspective

  • Authors: Friedel Hartmann, Peter Jahn

  • DOI: https://doi.org/10.1007/978-3-319-51222-8

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Softcover ISBN: 978-3-319-84596-8Published: 04 May 2018

  • eBook ISBN: 978-3-319-51222-8Published: 04 March 2017

  • Edition Number: 1

  • Number of Pages: XIV, 345

  • Number of Illustrations: 215 b/w illustrations

  • Topics: Solid Mechanics

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