© 2015

Elastic/Plastic Discs Under Plane Stress Conditions


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

Also part of the SpringerBriefs in Computational Mechanics book sub series (BRIEFSCOMPUTAT)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Sergey Alexandrov
    Pages 27-91
  3. Sergey Alexandrov
    Pages 93-113

About this book


This Volume presents a unified approach to calculate the plane stress distribution of stress and strain in thin elastic/plastic discs subject to various loading conditions. There is a vast amount of literature on analytical and semi-analytical solutions for such discs obeying Tresca’s yield criterion and its associated flow rule. On the other hand, most of analytical and semi-analytical solutions for Mises yield criterion are based on the deformation theory of plasticity. A distinguished feature of the solutions given in the present volume is that the flow theory of plasticity and Mises yield criterion are adopted. The solutions are semi-analytical in the sense that numerical methods are only necessary to evaluate ordinary integrals and solve transcendental equations. The book shows that under certain conditions solutions based on the deformation and flow theories of plasticity coincide. All the solutions are illustrated with numerical examples. The goal of the book is to provide the reader with a vision and an insight into the problems of analysis and design of elastic/plastic discs. The limitations and the applicability of solutions are emphasized. The book is written for engineers, graduate students and researchers interested in the development of techniques for analysis and design of thin elastic/plastic discs.


Analytic Solutions Failure Mechanisms Flow Theory Limit State Mises Yield Criterion Tresca Yield Criterion Unified Approach

Authors and affiliations

  1. 1.Institute for Problems in MechanicsRussian Academy of SciencesMoscowRussia

Bibliographic information

  • Book Title Elastic/Plastic Discs Under Plane Stress Conditions
  • Authors Sergey Alexandrov
  • Series Title SpringerBriefs in Applied Sciences and Technology
  • Series Abbreviated Title SpringerBriefs in Applied Sciences
  • DOI
  • Copyright Information The Author(s) 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Softcover ISBN 978-3-319-14579-2
  • eBook ISBN 978-3-319-14580-8
  • Series ISSN 2191-530X
  • Series E-ISSN 2191-5318
  • Edition Number 1
  • Number of Pages XI, 113
  • Number of Illustrations 44 b/w illustrations, 0 illustrations in colour
  • Topics Solid Mechanics
    Characterization and Evaluation of Materials
    Algebraic Topology
  • Buy this book on publisher's site
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