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Linear Elasticity of Elastic Circular Inclusions Part 2/Lineare Elastizitätstheorie bei kreisrunden elastischen Einschlüssen Teil 2

  • Book
  • © 2020

Overview

Authors:
  1. Thomas Ranz

    1. Graz, Austria

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  • Bilingual book describing real analytic solutions for the “Disc with Circular Inclusion”

Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)

Part of the book sub series: SpringerBriefs in Computational Mechanics (BRIEFSCOMPUTAT)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XVII
    Download chapter PDF

  2. Introduction

    • Thomas Ranz
    Pages 1-7

  3. Initial Position—Solutionprocess

    • Thomas Ranz
    Pages 9-10

  4. Disc with Circular Inclusion—Plane Strain Condition

    • Thomas Ranz
    Pages 11-82

  5. Validation of the Analytical Solution

    • Thomas Ranz
    Pages 83-89

  6. Summery and Outlook

    • Thomas Ranz
    Pages 91-94

  7. Bibliography

    • Thomas Ranz
    Pages 95-100
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Keywords

About this book

In this book the real analytic solutions for the “Disc with Circular Inclusion” under normal- and shear force at plane-strain state (EVZ) are presented. The associated solution process, which was developed according to the principle of statically indeterminate systems, is documented extensively. The solutions are given in terms of mechanical quantities (deformations, strains and stresses). Due to the superposition of the solutions for normal force in x- and y-direction and shear force the plane strain-stress relation can be formulated. The validation of the real analytic solutions is carried out by numeric FEM solution results. Comparing the results of the finite and infinite disc there is, however, a very high correspondence of all mechanical quantities. Therefore it can be assumed the real analytical solutions are the exact solutions.

Authors and Affiliations

  • Graz, Austria

    Thomas Ranz

About the author

Thomas Ranz works as an expert for the simulation of static tests and fatigue tests in the railway industry. He completed his academic training at TU Graz (civil engineering) and at the University of the German Federal Armed Forces Munich, Institute for Mechanics (doctorate). He gained professional experience in industry (MAN-Technology, Andritz AG and Siemens). He carried out research and teaching at the University of the German Federal Armed Forces Munich and the FH Joanneum Graz.

Bibliographic Information

  • Book Title: Linear Elasticity of Elastic Circular Inclusions Part 2/Lineare Elastizitätstheorie bei kreisrunden elastischen Einschlüssen Teil 2

  • Authors: Thomas Ranz

  • Series Title: SpringerBriefs in Applied Sciences and Technology

  • DOI: https://doi.org/10.1007/978-3-030-62852-9

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

  • eBook ISBN: 978-3-030-62852-9Published: 18 December 2020

  • Series ISSN: 2191-530X

  • Series E-ISSN: 2191-5318

  • Edition Number: 1

  • Number of Pages: XVII, 100

  • Number of Illustrations: 36 b/w illustrations, 7 illustrations in colour

  • Additional Information: Bilingual Product

  • Topics: Classical and Continuum Physics, Materials Science, general

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