ABSTRACT

A composite specimen, made of two slabs and an interface A is heated through one of its sides S, in order to evaluate the thermal conductance H of A. The direct model consists of a system of Initial Boundary Value Problems completed by suitable transmission conditions. Thanks to the properties of multilayer diffusion, we reduce the problem to the slab between A and S only. In this case evaluating the thermal resistance of A means to identify a coefficient in a Robin boundary condition. We evaluate H numerically by means of Thin Plate Approximation.

中文翻译：

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从边界数据中识别随时间变化的不可接近的热导

摘要

由两块板和一个界面A制成的复合试样通过其一侧S加热，以评估A的热导H。直接模型由一个由合适的传输条件完成的初始边值问题系统组成。由于多层扩散的特性，我们仅将问题减少到A和S之间的平板。在这种情况下，评估A的热阻意味着确定 Robin 边界条件中的系数。我们通过薄板近似对H进行数值评估。