Calculation of Stress-Strain Curve of the Two-phase Mixture Including Ellipsoidal Inclusion on the Basis of the Modified Secant Method

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  • Koyama Toshiyuki
    Department of Materials Science and Engineering, Nagoya Institute of Technology

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Other Title
  • 改良セカント法にもとづく楕円体析出相を含む二相組織の応力‐歪曲線計算
  • 改良セカント法にもとづく楕円体析出相を含む二相組織の応力--歪曲線計算
  • カイリョウ セカントホウ ニ モトズク ダエンタイ セキシュツソウ オ フクム ニソウ ソシキ ノ オウリョク ワイキョクセン ケイサン

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Abstract

The stress–strain curve of the composite material has been calculated on the basis of the secant method proposed by Weng. Although the effect of inclusion shape on the stress–strain curve has been evaluated by Zhao and Weng, they have assumed the inclusion phase to be a rigid elastic medium which dose not deform plastically. In this study, we modified their secant method so as to be able to calculate the stress–strain curve of the composite material which contains the plastically deformed inclusion phase, and evaluated the effect of the inclusion shape on the deformation behavior of the stress–strain curve. The results obtained are as follows: When both phases are soft, i.e. the matrix and inclusion phases are both deformable, the stress–strain curve is determined only from the volume fraction of the inclusion phase. In the case that the inclusion phase is hard, i.e. the matrix phase is deformable but the inclusion phase is less deformable, the stress–strain curve depends not only on the volume fraction of the inclusion phase but also on the shape of the inclusion phase. The modified secant method proposed in this study will be useful for understanding the effect of inclusion shape on the mechanical property of the composite materials, comprehensively.

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  • Tetsu-to-Hagane

    Tetsu-to-Hagane 97 (4), 212-220, 2011

    The Iron and Steel Institute of Japan

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