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Renewal creep theory

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Abstract

The mathematics of probability are used to construct a framework that describes some key features of primary and secondary creep. The underlying assumption is that dislocation slip and annihilation are probabilistic events. The resulting mathematical framework takes the form of renewal theory from probability theory. Renewal creep theory provides a mathematical frame-work for primary creep that accommodates previously developed empirical descriptions. Renewal creep theory also predicts the existence of secondary creep as an asymptotically constant strain-rate phenomenon. Creep modeling techniques are demonstrated for three titanium alloys.

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Authors and Affiliations

  1. Structures Division, Flight Dynamics Directorate, Wright Laboratory, Wright-Patterson Air Force Base, 45433, OH

    Ronald L. Bagley (Senior Scientist)

  2. Technology/Scientific Services Inc., 45431, Dayton, OH

    David I. G. Jones (Senior Researcher)

  3. Materials Division, NASA-Lewis Research Center, 44135, Cleveland, OH

    Alan D. Freed (Senior Research Engineer)

Authors
  1. Ronald L. Bagley
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  2. David I. G. Jones
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  3. Alan D. Freed
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Bagley, R.L., Jones, D.I.G. & Freed, A.D. Renewal creep theory. Metall Mater Trans A 26, 829–843 (1995). https://doi.org/10.1007/BF02649080

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  • DOI: https://doi.org/10.1007/BF02649080

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