In this paper, a new inverse identification method of constitutive parameters is developed from full kinematic and thermal field measurements. It consists in reconstructing the heat source field from two different approaches by using the heat diffusion equation. The first one requires the temperature field measurement and the value of the thermophysical parameters. The second one is based on the kinematic field measurement and the choice of a thermo-hyperelastic model that contains the parameters to be identified. The identification is carried out at the local scale, ie, at any point of the heat source field, without using the boundary conditions. In the present work, the method is applied to the challenging case of hyperelasticity from a heterogeneous test. Due to large deformations undergone by the rubber specimen tested, a motion compensation technique is developed to plot the kinematic and the thermal fields at the same points before reconstructing the heterogeneous heat source field. In the present case, the constitutive parameter of the Neo-Hookean model has been identified, and its distribution has been characterized with respect to the strain state at the surface of a cross-shaped specimen.

中文翻译：

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热源场本构参数的逆识别：一种应用于超弹性的局部方法

在本文中，基于完整的运动学和热场测量，开发了一种新的本构参数逆识别方法。它包括通过使用热扩散方程从两种不同的方法重建热源场。第一个需要温度场测量和热物理参数值。第二个是基于运动场测量和包含待识别参数的热超弹性模型的选择。识别是在局部尺度上进行的，即在热源场的任何点上进行，不使用边界条件。在目前的工作中，该方法应用于具有挑战性的异质测试超弹性案例。由于试验的橡胶试样发生较大变形，在重建非均质热源场之前，开发了一种运动补偿技术来绘制相同点的运动场和热场。在本案例中，Neo-Hookean 模型的本构参数已被确定，并且其分布已根据十字形试样表面的应变状态进行表征。