Due to extensive applications in engineering practice, analysis of heat transfer in three-dimensional anisotropic composites has remained to be an important research topic. For the analysis, conventional numerical methods face modeling difficulties to different degrees when the thickness of component is very small. For this, modeling thin adhesive/interstitial media is usually ignored in conventional analyses. In this paper, two different boundary-element approaches are presented to model the heat conduction in three-dimensional anisotropic composites with thin adhesive/interstitial media. The first one is to weaken the singularity of the nearly singular boundary integrals, and the second is to implement a boundary-element conductance model without treating the thin media. All formulations have been implemented with illustrations of a few benchmark examples in the end.

由于在工程实践中的广泛应用，三维各向异性复合材料的传热分析仍然是重要的研究课题。为了进行分析，当零件的厚度很小时，常规的数值方法在不同程度上面临建模困难。为此，在常规分析中通常忽略对薄的粘合剂/间隙介质建模。在本文中，提出了两种不同的边界元方法来模拟具有薄粘合剂/间隙介质的三维各向异性复合材料的热传导。第一个是削弱几乎奇异的边界积分的奇异性，第二个是在不处理薄介质的情况下实现边界元素电导模型。