This work aims for a novel thermoelastic analysis methodology based on experimental steady-state temperature data and numerical displacement evaluation. The temperature data was acquired using thermal imaging and used as the input for a boundary element method (BEM) routine to evaluate its consequent thermoelastic displacement. The thermoelastic contribution to the resultant displacement arises in the BEM formulation as a domain integral, which compromises the main benefits of the BEM. To avoid the necessity of domain discretization, the radial integration method (RIM) was applied to convert the thermoelastic domain integral into an equivalent boundary integral. Due to its mathematical development, the resultant formulation from RIM requires the temperature difference to be input as a function. The efficacy of the proposed methodology was verified based on experimental displacement fields obtained via digital image correlation (DIC) analysis. For this purpose, a CNC (computer numerical control) marker was developed to print the speckle pattern instead of preparing the specimen by using manual spray paint or using commercially available pre-painted adhesives. The good agreement observed in the comparison between the numerical and experimental displacements indicates the viability of the proposed methodology.

中文翻译：

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一种使用数字图像相关和边界元方法进行热弹性分析的新颖方法

这项工作旨在基于实验稳态温度数据和数值位移评估的新型热弹性分析方法。使用热成像获取温度数据，并将其用作边界元法（BEM）例程的输入，以评估其随后的热弹性位移。BEM公式中将热弹性对最终位移的贡献作为区域积分出现，这损害了BEM的主要优势。为避免域离散化的必要性，应用了径向积分方法（RIM）将热弹性域积分转换为等效边界积分。由于其数学上的发展，RIM生成的公式要求将温度差作为函数输入。基于通过数字图像相关性（DIC）分析获得的实验位移场，验证了所提出方法的有效性。为此，开发了CNC（计算机数控）标记器来打印斑点图案，而不是通过使用手动喷漆或使用可商购的预涂粘合剂来制备样品。在数值和实验位移之间的比较中观察到的良好一致性表明了所提出的方法的可行性。