Mode-I stress-intensity factors for a cracked slab under an arbitrary thermal shock

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A stress intensity factor solution for a cracked slab subjected to an arbitrary thermal shock on one surface has been derived. As a first step, the transient temperature distribution was calculated for an arbitrary surface loading through the use of Duhamul's integral relationship and the unit response for a slab that is insulated on the other face. The arbitrary nature of the transient surface loading was accommodated by a versatile polynomial containing both integral- and half-order terms. Once the resulting transient stress states were determined via elasticity theory, the resulting stress intensification for an arbitrary crack was approximated using a weight-function approach. The procedure was checked with known stress intensity solutions for an edge-cracked plate subjected to a linear down shock followed by a constant temperature soak. Excellent agreement was observed for this test case for a variety of crack lengths.

Original languageEnglish (US)
Pages (from-to)306-312
Number of pages7
JournalJournal of Pressure Vessel Technology, Transactions of the ASME
Issue number2
StatePublished - May 1 2007

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality
  • Mechanics of Materials
  • Mechanical Engineering


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