Abstract This work statistically examines the influence of operating parameters on the thin oxide layer developed during titanium anodisation and the complexity of parameter interactions on the surface colouration. The optimal parametric combinations for obtaining desired oxide thickness and interference colours are investigated. A three parametric Doehlert experimental design was employed for the purpose. Reliable regression models were developed for oxide thickness (Tmeas), and colour specification viz., lightness (L*) and hue angle (h) with determination coefficients of 0.970, 0.988 and 0.998, respectively. The three chosen parameters namely operating voltage (V), electrolyte concentration (C), and operating temperature (T) were found to have significant interactions during anodisation which are analysed through a response surface. The oxide thickness was found to be influenced by all three parameters. It was additionally found to have multiple optimal parametric combinations for a desirable outcome because of the interactions; the lightness was found to be significantly affected by the interactions of electrolyte concentration and operating temperature; the expected periodicity in hue angle, as reported in literature, persisted amidst parameter interactions with mild variations to the trend. Furthermore, interdependencies were found among the developed regression models.

中文翻译：

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专为表面着色而设计的钛阳极氧化 - 使用响应面方法对参数相互作用进行系统化

摘要 这项工作统计地检验了操作参数对钛阳极氧化过程中形成的薄氧化层的影响以及参数相互作用对表面着色的复杂性。研究了用于获得所需氧化物厚度和干涉色的最佳参数组合。为此采用了三参数 Doehlert 实验设计。为氧化物厚度 (Tmeas) 和颜色规格开发了可靠的回归模型，即亮度 (L*) 和色调角 (h)，决定系数分别为 0.970、0.988 和 0.998。发现三个选定的参数，即工作电压 (V)、电解质浓度 (C) 和工作温度 (T) 在阳极氧化过程中具有显着的相互作用，通过响应面进行分析。发现氧化物厚度受所有三个参数的影响。由于相互作用，还发现对于理想结果具有多个最佳参数组合；发现亮度受电解质浓度和操作温度的相互作用的显着影响；正如文献中报道的那样，色调角的预期周期性在参数相互作用中持续存在，趋势有轻微变化。此外，在开发的回归模型之间发现了相互依赖性。发现亮度受电解质浓度和操作温度的相互作用的显着影响；正如文献中报道的那样，色调角的预期周期性在参数相互作用中持续存在，趋势有轻微变化。此外，在开发的回归模型之间发现了相互依赖性。发现亮度受电解质浓度和操作温度的相互作用的显着影响；正如文献中报道的那样，色调角的预期周期性在参数相互作用中持续存在，趋势有轻微变化。此外，在开发的回归模型之间发现了相互依赖性。