Upper Bound Limit Load Solutions for Welded Joints with Cracks

  • Sergey¬†Alexandrov

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-ix
  2. Sergey Alexandrov
    Pages 1-9
  3. Sergey Alexandrov
    Pages 81-116
  4. Back Matter
    Pages 117-117

About this book


The present short monograph concerns analytic and semi-analytic techniques for finding an approximate value of the limit load. The limit load is an essential input parameter of flaw assessment procedures. In most cases, finding the limit load involves some numerical calculations of different levels of complexity, including numerical minimization of functions of one or several arguments, the slip-line technique and the finite element method. This book shows in particular how to use singular behavior of the real velocity field in the vicinity of bi-material interfaces in kinematically admissible velocity fields to increase the accuracy of upper bound solutions. An approach to recalculate the limit load for a class of structures with defects with the use of its value for the corresponding structure with no defect is discussed. The upper bound technique is applied to evaluate the limit load of overmatched and undermatched welded joints with cracks subject to various loading conditions of practical importance in conjunction with the aforementioned special techniques.


bi-material interfaces finite element method FEM flaw assessment highly undermatched joints limit load overmatched joints slip-line technique structures with defects upper bound theorem velocity fields

Authors and affiliations

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

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-642-29233-0
  • Online ISBN 978-3-642-29234-7
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
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