Abstract The properties of the continuous-time, high-cycle fatigue model of Ottosen et al. (2008) is investigated for challenging stress states. We derive an analytical solution to the damage per cycle for cyclic, proportional stress. Numerical investigations for 7050-T7451 aluminum alloy and AISI 4340 steel alloy show exponential convergence to a constant damage per cycle for cyclic proportional stress, and Wynn’s epsilon algorithm for sequence acceleration improves the convergence rate. Fatigue damage is well predicted for an applied proportional stress, but damage is severely underpredicted for rotary stress states or combinations of tension/compression and torsion.

中文翻译：

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连续时间、高周疲劳模型：循环应力的有效性范围和计算加速度

摘要 Ottosen 等人的连续时间、高周疲劳模型的性质。(2008) 研究了具有挑战性的压力状态。我们推导出循环比例应力每循环损伤的解析解。对 7050-T7451 铝合金和 AISI 4340 钢合金的数值研究表明，对于循环比例应力，每个循环的损伤呈指数收敛，Wynn 的序列加速 epsilon 算法提高了收敛速度。对于施加的比例应力，可以很好地预测疲劳损坏，但对于旋转应力状态或拉伸/压缩和扭转的组合，严重低估了损坏。