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

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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
Volume129
Issue number2
DOIs
StatePublished - May 1 2007

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Thermal shock
Stress intensity factors
Cracks
Elasticity
Temperature distribution
Polynomials
Temperature

All Science Journal Classification (ASJC) codes

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

Cite this

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title = "Mode-I stress-intensity factors for a cracked slab under an arbitrary thermal shock",
abstract = "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.",
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Mode-I stress-intensity factors for a cracked slab under an arbitrary thermal shock. / Segall, Albert Eliot; Meeker, J.

In: Journal of Pressure Vessel Technology, Transactions of the ASME, Vol. 129, No. 2, 01.05.2007, p. 306-312.

Research output: Contribution to journalArticle

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