バウシンガー効果に伴う降伏応力の変化―降伏条件式の提案

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タイトル別名
  • The Decrease of Yield Stress due to the Bauschinger Effect (Yielding Condition with the Bauschinger Effect)
  • バウシンガー コウカ ニ トモナウ コウフク オウリョク ノ ヘンカ コウフク ジョウケンシキ ノ テイアン

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説明

The decrease of yield stress (0.1% proof stress) due to the Bauschinger effect was measured by the torsion test at room temperature, using thin pipes of Cu, α-Brass, iron-steel, Ti, Zr and Mg.<BR>In the case of pre-straining γ and unloading, the yield stress is τF for the forward direction and τR for the reverse direction. Then, the decrease of yield stress is τB=τF−|τR| (called the Bauschinger stress).<BR>The authors found a new relation between pre-strain γ and Bauschinger stress τB.<BR>The results are as follows:<BR>(1) The following relation was found experimentally:<BR>(This article is not displayable. Please see full text pdf.) <BR>where k and m are constants characteristic of materials, which are controlled by grain-size and metallurgical structure. In the case of the absence of the Bauschinger effect, k=0.<BR>(2) Extending the above equation, the yield condition under a multi-axis stress, including the Bauschinger effect, was newly obtained as follows:<BR>(This article is not displayable. Please see full text pdf.) <BR>f: plastisity potential, J2: second-order stress invariant, εij and σij: components of strain and stress tensor, K0: shear yield stress. Here, εijm is the same in sign as εij and its absolute value is the m-th power of εij. The above equation is reasonable because it includes the strain history and the first-order term of stress, and because additional term k·εijm·σij has the dimension of energy.

収録刊行物

  • 日本金属学会誌

    日本金属学会誌 34 (2), 161-165, 1970

    公益社団法人 日本金属学会

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