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Upper Bound Limit Load Solutions for Welded Joints with Cracks

  • Book
  • © 2012

Overview

Authors:
  1. Sergey Alexandrov

    1. , Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

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  • Provides formulas and simple procedures for a wide class of welded joints with cracks
  • Shows practicing engineers calculations the limit load for flaw assessment
  • Includes supplementary material: sn.pub/extras

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-ix
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  2. Upper Bound Theorem

    • Sergey Alexandrov
    Pages 1-9

  3. Plane Strain Solutions for Highly Undermatched Tensile Specimens

    • Sergey Alexandrov
    Pages 11-25

  4. Plane Strain Solutions for Highly Undermatched Scarf Joint Specimens

    • Sergey Alexandrov
    Pages 27-44

  5. Axisymmetric Solutions for Highly Undermatched Tensile Specimens

    • Sergey Alexandrov
    Pages 45-63

  6. Plane Strain Solutions for Highly Undermatched Specimens in Bending

    • Sergey Alexandrov
    Pages 65-80

  7. Miscellaneous Topics

    • Sergey Alexandrov
    Pages 81-116

  8. Back Matter

    Pages 117-117
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Keywords

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.

Reviews

From the reviews:

“This monograph describes how to apply the upper bound theorem to find the limit load for welded structures with cracks. The presentation contains introductory material and advanced developments, and is divided into six chapters. … The monograph will be useful to engineers and graduate students interested in the limit load solutions, and could also be useful to applied mathematicians.” (Prabhat Kumar Mahanti, Zentralblatt MATH, Vol. 1257, 2013)

Authors and Affiliations

  • , Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    Sergey Alexandrov

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