Abstract A material parameter identification is presented for a fully thermo-mechanically coupled material model based on full field displacement and temperature measurements. The basic theory of the inverse problem is recapitulated, focusing on the choice of the objective function, proposing a new formulation, and explaining in detail the necessary numerical treatment of experimental data during the pre-processing of an identification. This includes the handling of the intrinsically different data sets of displacement (Lagrangian type) and temperature (Eulerian type). Experimental data is obtained by means of a Digital-Image-Correlation (DIC) as well as by a thermography system and three algorithmic boxes are provided for the necessary pre-processing. The experimental setup is discussed, measured data presented and analysed. From this setup, a successive approach to the identification process is motivated. Based on the experimental observations, a thermo-mechanically coupled material model is chosen, the required constitutive relations summarised and the material parameters interpreted. For the fixed choice of model and experiments, the inverse problem is solved. A very good fit was obtained for both the displacement and the temperature field. Results are interpreted and remaining errors discussed.

中文翻译：

---

使用全场位移和温度测量进行基于优化的材料参数识别

摘要 提出了一种基于全场位移和温度测量的全热机械耦合材料模型的材料参数识别方法。重述了逆问题的基本理论，重点是目标函数的选择，提出了新的公式，并详细解释了识别预处理过程中对实验数据进行必要的数值处理。这包括处理位移（拉格朗日类型）和温度（欧拉类型）的内在不同数据集。实验数据是通过数字图像相关 (DIC) 以及热成像系统获得的，并且为必要的预处理提供了三个算法框。讨论了实验设置，呈现和分析了测量数据。从这个设置，推动了对识别过程的连续方法。根据实验观察，选择热机械耦合材料模型，总结所需的本构关系并解释材料参数。对于模型和实验的固定选择，求解逆问题。位移和温度场都得到了很好的拟合。解释结果并讨论剩余的错误。位移和温度场都得到了很好的拟合。解释结果并讨论剩余的错误。位移和温度场都得到了很好的拟合。解释结果并讨论剩余的错误。