A Thermoelasticity Problem in a Domain with an Edge Crack: Asymptotic Analysis

  • Ö. Selsil
  • I. S. Jones
  • A. B. Movchan
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 113)


We consider a quasi-static problem of uncoupled thermoelasticity posed in a domain with a small edge crack perpendicular to the boundary. Real life examples leading to our problem arise naturally in, for example, fast breeder reactors, pressurised water reactor nozzles, etc. The effect of rapid changes or fluctuations on the surface of these structures is known as thermal striping and is considered as the origin of thermal fatigue damage.


Thermoelasticity asymptotic analysis edge crack stress-intensity factor 


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  1. [1]
    Jones, I S, Lewis M W J (1994) A frequency response method for calculating stress intensity factor due to thermal striping loads, Fatigue Fract. Engng Mater. Struct. 17 (6), 709–720.Google Scholar
  2. [2]
    Jones, I S, Lewis M W J (1995) The e ect of various constraint conditions in the frequency response model of thermal striping, Fatigue Fract. Engng Mater. Struct. 18 (4), 489–502.Google Scholar
  3. [3]
    Jones, I S, Lewis M W J (1997) An impulse response method for the prediction of thermal striping damage, Engineering Fracture Mechanics, 55 (5), 795–812.CrossRefGoogle Scholar
  4. [4]
    Koiter, W T (1956) On the flexural rigidity of a beam weakened by transverse saw cuts, Proc. Royal Neth. Acad. of Sciences B59, 354–374.MathSciNetGoogle Scholar
  5. [5]
    Stallybras, M P (1970) A crack perpendicular to an elastic half-plane, Int. J. Engng Sci. 8, 351–362.CrossRefGoogle Scholar
  6. [6]
    COSMOS/M 2.0 (1997), A complete finite element analysis system, Structural Research & Analysis Corp.Google Scholar
  7. [7]
    Boley, B A, Weiner, J H (1960) Theory of thermal stresses, John Wiley & Sons, Inc. Press.Google Scholar
  8. [8]
    Galwin, S B J, Graham, I D, Jones I S, Rothwell G (1997) A comparison between the finite element and frequency response methods in the assesment of thermal striping damage, Int. J. Pres. Ves. & Piping, 74, 205–212.CrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Ö. Selsil
    • 1
  • I. S. Jones
    • 2
  • A. B. Movchan
    • 1
  1. 1.Department of Mathematical SciencesUniversity of LiverpoolUK
  2. 2.School of EngineeringJohn Moores UniversityLiverpoolUK

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