Abstract Cold dwell fatigue has become one critical issue in titanium industry over the past decades. Though some reports have emphasized the importance of time-dependent plastic strain on cold dwell effect in titanium alloys, the mathematical relationship between plastic strain and fatigue life has never been discussed because plastic strain changes continuously no matter in normal cyclic fatigue or dwell fatigue. In this paper, a series of fatigue tests under constant plastic strain is designed to investigate the mathematical relationship between plastic strain and fatigue life in titanium alloys at room temperature in air. Results show that plastic strain has a definitely detrimental effect on fatigue life in titanium alloys. Different from the traditional qualitative mechanisms, one semi-quantitative explanation for cold dwell effect in titanium alloys is proposed by introducing hysteresis energy density.

中文翻译：

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钛合金冷滞效应的一种半定量解释

摘要 在过去的几十年中，冷滞疲劳已成为钛工业中的一个关键问题。尽管一些报道强调了时间相关塑性应变对钛合金冷驻留效应的重要性，但塑性应变与疲劳寿命之间的数学关系从未被讨论过，因为无论是正常循环疲劳还是驻留疲劳，塑性应变都是不断变化的。本文设计了一系列恒定塑性应变下的疲劳试验，研究室温下空气中钛合金塑性应变与疲劳寿命之间的数学关系。结果表明塑性应变对钛合金的疲劳寿命有明显的不利影响。不同于传统的定性机制，