Self-consistent determination of time-dependent behavior of metals

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Abstract

Though Kröner’s self-consistent model is not fully consistent in the elastic-plastic deformation of poly cry stals, it is found to be perfectly consistent in the time-dependent deformation of such materials. Hill’s model, on the other hand, should be used with a modified constraint tensor containing the elastic moduli of the matrix in that case. Kroner’s model is supplemented with a physically consistent constitutive equation for the slip system; these, together with Weng’s inverse method, form the basis of a self-consistent determination of time-dependent behavior of metals. The kinematic component of the latent hardening law and the residual stress introduced in more favorably oriented grains are the two major driving forces for recovery and the Bauschinger effect in creep. The proposed method was applied to predict the creep and recovery strains of a 2618-T61 Aluminum alloy under pure shear, step and nonradial loading. The predicted results are seen to be in generally good agreement with the test data.

Original languageEnglish (US)
Pages (from-to)41-46
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Volume48
Issue number1
DOIs
StatePublished - Jan 1 1981

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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