Singular Solutions in Plasticity

  • Sergei¬†Alexandrov

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

Also part of the SpringerBriefs in Continuum Mechanics book sub series (BRIEFSCONTINU)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Sergei Alexandrov
    Pages 1-11
  3. Sergei Alexandrov
    Pages 13-25
  4. Sergei Alexandrov
    Pages 27-49
  5. Sergei Alexandrov
    Pages 51-60
  6. Sergei Alexandrov
    Pages 61-80
  7. Sergei Alexandrov
    Pages 81-106
  8. Back Matter
    Pages 107-107

About this book


This book deals with singular solutions that appear in the vicinity of maximum friction surfaces for several rigid plastic models. In particular, it discusses precise asymptotic expansions as a necessary ingredient for the development of efficient numerical methods to solve boundary value problems that involve the maximum friction law as a boundary condition. An applied aspect of the singular solutions considered is that these solutions are capable of predicting the development of narrow hard layers near frictional interfaces in manufacturing processes.


Rigid perfectly plastic solids Rigid viscoplastic solids Double shearing model Maximum friction law singular velocity field Strain rate intensity factor stress intensity factor

Authors and affiliations

  • Sergei¬†Alexandrov
    • 1
  1. 1.Institute for Problems in MechanicsRussian Academy of SciencesMoscowRussia

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-981-10-5226-2
  • Online ISBN 978-981-10-5227-9
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site