Development of an elasto-viscoplastic constitutive equation for an al-mg alloy undergoing a tensile test during partial solidification

Ryosuke Takai, Akira Matsushita, Shogo Yanagida, Koichiro Nakamura, Makoto Yoshida

    Research output: Contribution to journalArticle

    10 Citations (Scopus)

    Abstract

    Predicting hot tearing during direct chill casting using thermal stress analysis requires constitutive equations in both semi-solid state and below the solidus of the alloy. However, numerous difficulties have been hindered constitutive equations used heretofore for hot tearing predictions. (1) Testing methods for obtaining material constants were inappropriate. First, the elastic strain reversibility was unconfirmed. Second, a flat distribution of temperature in the specimen gauge length was not guaranteed. Third, strain was measured not from local strain but from cross-head displacement. Fourth, the melt-back phenomenon was unavoidable in test during partial remelting because of homogenization of the segregation structure. (2) Temperature dependence of the strain-rate sensitivity of stress was not considered. (3) Some material constants were inferred, not obtained experimentally. This study developed elasto-viscoplastic constitutive equations (Hooke's and viscoplastic Norton-Hoff laws) for partially solidified state and below the solidus. To obtain material constants experimentally, two tensile tests for which issue (1) was addressed were conducted using Al-5 mass%Mg alloy. They were a tensile test after partial solidification and high-temperature tensile test with high-frequency induction coil. After the temperature dependence of elastic and viscoplastic properties was investigated, material constants were obtained and were compared with those obtained using earlier testing methods.

    Original languageEnglish
    Pages (from-to)1233-1241
    Number of pages9
    JournalMaterials Transactions
    Volume56
    Issue number8
    DOIs
    Publication statusPublished - 2015

    Fingerprint

    constitutive equations
    tensile tests
    Constitutive equations
    solidification
    Solidification
    tearing
    solidus
    Temperature
    temperature dependence
    Remelting
    stress analysis
    Testing
    thermal stresses
    homogenizing
    Stress analysis
    Thermal stress
    Gages
    strain rate
    Strain rate
    induction

    Keywords

    • Aluminum alloy
    • Direct-chill casting
    • Elasto-viscoplastic constitutive equation
    • Hot tearing
    • Solidification

    ASJC Scopus subject areas

    • Materials Science(all)
    • Condensed Matter Physics
    • Mechanical Engineering
    • Mechanics of Materials

    Cite this

    Development of an elasto-viscoplastic constitutive equation for an al-mg alloy undergoing a tensile test during partial solidification. / Takai, Ryosuke; Matsushita, Akira; Yanagida, Shogo; Nakamura, Koichiro; Yoshida, Makoto.

    In: Materials Transactions, Vol. 56, No. 8, 2015, p. 1233-1241.

    Research output: Contribution to journalArticle

    Takai, Ryosuke ; Matsushita, Akira ; Yanagida, Shogo ; Nakamura, Koichiro ; Yoshida, Makoto. / Development of an elasto-viscoplastic constitutive equation for an al-mg alloy undergoing a tensile test during partial solidification. In: Materials Transactions. 2015 ; Vol. 56, No. 8. pp. 1233-1241.
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