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

Research output: Contribution to journalArticle

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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
StatePublished - Jan 1 1981

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Metals
metals
combined stress
Temperature
temperature
Polycrystals
stress relaxation
constitutive equations
Stress relaxation
polycrystals
Constitutive equations
aluminum alloys
Aluminum alloys
slip
Single crystals
inclusions
single crystals

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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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)",
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A self-consistent scheme for the relaxation behaviour of metals. / Weng, George.

In: TRANS. ASME J. APPL. MECH., Vol. 48, No. 4 , Dec. 1981, 01.01.1981, p. 779-784.

Research output: Contribution to journalArticle

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