A self-consistent scheme for the relaxation behaviour of metals.

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Abstract

Stress relaxation in metals is identified as a 'strain-free' process. The corresponding self-consistent relations between the strain, and stress variations of a grain and of its aggregate are derived from Eshelby's solution of an ellipsoidal inclusion. It is shown that, under such a process, the strain in a more favourably oriented grain continues to rise and that its stress decreases more drastically than that of the aggregate; conversely, for a less favourably oriented grain, its strain decreases and its stress relaxes less. The self-consistent relations are supplemented with a temperature-dependent, physically consistent constitutive equation for the slip system. Such an equation enables the determination of the single crystal constants at one temperature from the polycrystal data at another temperature; it also makes the self-consistent scheme applicable to the varying-temperature environment. The established theory was finally applied to predict the relaxation behaviour of an RR-59 aluminium alloy under combined stress; the results showed reasonably good agreement with the experimental data. (from author's abstract)

Original languageEnglish (US)
Pages (from-to)779-784
Number of pages6
JournalTRANS. ASME J. APPL. MECH.
Volume48
Issue number4 , Dec. 1981
Publication statusPublished - Jan 1 1981

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All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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