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Chapter 21 Application of Fracture Mechanics                           399

                 21.8  Examples

                 Example 21.1: Maximum Tolerable Defect Size in Butt Weld
                 Problem: A butt-welded plat thickness of 150mm, yield stress of 5OOMPa. There is a surface
                 crack with an aspect ratio c/a=l. Its minimum critical CTOD is 0.00036m. The weld is loaded
                 in uniaxial tension perpendicular to the crack plane, and the stress in the weldment is less than
                 or equal to 0.60 of the yield stress. What is maximum allowable crack width?
                 Solution:




                      a=    6,  =    0.00036   =-  0.0259
                         2a~,a,       500       amax
                                   2a-
                                     2.OE5
                 The following relation exists:
                                  0.0259
                          E
                      CD =-  - 0.25 = -
                         E,        amax
                 and therefore, the maximum half-width is  am =O.O74m


                 21.9  References
                 1.   Almar-Naess, A. (1 989, “Fatigue Handbook, Oflshore Steel Structures”, Tapir, Norway.
                 1.   API 1104 (1994), “Alternate Standards for Acceptability for Girth Welds. Appendix A,
                      Standards  for  Welding  Pipelines  and  Related  Facilities”,  18”  edition,  American
                     Petroleum Institute.
                 2.   MI 579 (2001), “Recommended Practice for Fitness for Service”, American Petroleum
                     Institute.
                 3.   ASME (1989), “ASME Boiler and Pressure Vessel Code, Section X, Rules for In-service
                     Inspection of Nuclear Plant Components”, American Society of Mechanical Engineers.
                 4.  ASME  (1 99 1, 1992, 1994) “Risk-Based Inspection - Development of  Guidelines, Vol.
                     20. I  (1991): General Guidelines, V01.20.2 (1992): Light  Water Reactor Nuclear Power
                     Plant  Components,  Vo1.20.3 (I 994):  Fossil  Fuel-Fired  Electric  Power  Generating
                     Station Applications ”, American Society of Mechanical Engineers.
                 5.   Andersen, T.L., (1 991), “Fracture Mechanics - Fundamentals and Application”, CRC
                     Press.
                 6.   BSI. (1980), “PD 6493 - Guidance on Some Methods for the Derivation of Acceptance
                     Levels for Defects in Fusion Welded Joints”, London: BSI.
                 7.   BSI (1999) “BS7910-Guidance on Methods for Assessing the Acceptability of Flows in
                     Fusion Welded Structures”.
                 8.   Burdekin, F.M.,  and Dawes, M.G. (1971), “Practical Use of Linear Elastic and Yielding
                     Fracture  Mechanics  with  Particular  Reference  to  Pressure  Vessels”,  pp.  28-37  in
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