Abstract In this paper, an extension of the result of Wang et al. (“Modeling pulsed laser ablation of aluminum with finite element analysis considering material moving front,” Int. J. Heat & Mass Transfer, 113, 1246–1253, 2017) concerning the problem of uncertainty quantification for pulsed laser ablation (PLA) of aluminum is considered, when the source of uncertainty is due to an inherent randomness of the temperature-dependent absorption coefficient. In particular, we use a generalized polynomial chaos (gPC) method to incorporate the parameter uncertainty for the temperature-dependent absorption coefficient within the representation of the laser heat conduction phenomena. Furthermore, numerical simulation studies for the PLA of aluminum, with nanosecond Nd:YAG 266 nm pulsed laser, that demonstrate the proposed gPC predictions are presented. Finally, a sensitivity study is performed to identify whether small changes in the lower and/or upper parameter values of the absorption coefficient provide the most variance in the thermal and ablation responses.

中文翻译：

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考虑温度相关吸收系数的不确定性，模拟铝脉冲激光烧蚀的不确定性量化

摘要 在本文中，对 Wang 等人的结果进行了扩展。（“考虑材料移动前沿，用有限元分析对铝进行建模脉冲激光烧蚀”，Int. J. Heat & Mass Transfer, 113, 1246–1253, 2017）关于铝脉冲激光烧蚀 (PLA) 的不确定性量化问题考虑，当不确定性的来源是由于温度相关吸收系数的固有随机性。特别是，我们使用广义多项式混沌 (gPC) 方法将温度相关吸收系数的参数不确定性纳入激光热传导现象的表示中。此外，使用纳秒 Nd:YAG 266 nm 脉冲激光对铝的 PLA 进行数值模拟研究，展示了所提出的 gPC 预测。