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A rationalization of stress-strain behavior of two-ductile phase alloys

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Abstract

An extensive literature review indicated that the law of mixture rule can at times account for stress-strain behavior of two-ductile phase alloys in terms of the stress-strain behavior of component phases. In the present investigation, various factors which can contribute to the stress-strain behavior of two-ductile phase alloys are considered, using Ti-Mn alloys as the model system. Particular attention is focused on the effect of elastic, elasto-plastic, and plastic interactions between the phases on the stress-strain behavior. It is shown that the law of mixture cannot adequately explain the stress-strain behavior. The following equation is proposed to describe the stress-strain behavior of two-ductile phase alloys: Pα-β = fαPα c + fβPβ c + Iα-β p, where Pα-β is a given stress-strain property, fα and f/gb are respective volume fractions of α and β-phases, Pα c and Pβ c are corrected properties of α and β-phases, and Iα-β p is the interaction term. It is found that for α- β Ti-Mn alloys, for 0.2 pct yield strength, Iα-β p is positive, negative, or zero depending on the microstructure; but Iα-β p is always positive for the ultimate tensile strength and strain hardening rates and its magnitude depended on the microstructure. The reasons for the nature or sign of the interaction parameter for a given property are discussed in detail.

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Authors and Affiliations

  1. Engineering Materials Program, Department of Chemical and Nuclear Engineering, University of Maryland, 20742, College Park, MD

    S. Ankem (Assistant Professor)

  2. Department of Metallurgy and Materials Science, Polytechnic University, 11201, Brooklyn, NY

    H. Margolin (Professor)

Authors
  1. S. Ankem
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  2. H. Margolin
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Ankem, S., Margolin, H. A rationalization of stress-strain behavior of two-ductile phase alloys. Metall Trans A 17, 2209–2226 (1986). https://doi.org/10.1007/BF02645919

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  • DOI: https://doi.org/10.1007/BF02645919

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