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Formulation of plastic strain distribution derived from long-distance travel of temperature distribution based on residual stress required for elastic shakedown behavior

温度分布長距離移動による塑性ひずみ分布の弾性シェイクダウン挙動に必要な残留応力に基づく定式化

岡島 智史 

Okajima, Satoshi

一次応力が存在しない場合であっても、長距離にわたる温度分布の移動によって熱ラチェットが発生することが報告されている。温度分布移動距離が過大でない場合には、このメカニズムによる塑性ひずみの累積は最終的に飽和に至る。このような飽和時点での累積塑性ひずみ分布と残留応力分布との間に、強い相関があることから、弾性シェイクダウン挙動に必要とされる残留応力分布をもとに、塑性ひずみの飽和分布を予測することを狙っている。本論文では、古典的なシェル理論に基づき、所定の領域に一様な周膜応力をもたらす塑性ひずみ分布を定式化した。定式化結果は、弾完全塑性材料を用いた有限要素解析の結果と比較することにより検証した。

It was reported that the long distance travel of temperature distribution causes a new type of thermal ratcheting, even in the absence of primary stress. When the distance of temperature travel is moderate, the accumulation of the plastic strain due to this mechanism is finally saturated. We have found the strong relationship between hoop-membrane distributions of accumulated plastic strain and residual stress in this saturated case. Focusing on this relationship, we have aimed to predict the saturated distribution of the plastic strain based on the residual stress distribution that is required for the elastic shakedown behavior. In this paper, based on classical shell theory, we formulated the plastic strain distribution that brings uniform hoop-membrane stress in the given region. The formulated strain distribution was validated by the comparison with the accumulated plastic strain distribution obtained by finite element analyses using an elastic-perfectly plastic material.

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