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热传输行为是空天飞行器热防护系统服役过程中的重要问题,研究随机复合材料的热传输机理,可为热防护系统材料与结构的一体化设计提供理论依据。针对随机复合材料的热传导问题,发展一种统计多尺度边界元算法,首先建立等效材料参数的统计多尺度分析模型,然后给出统计意义下等效参数的多尺度边界元预测算法,并通过与理论结果的对比来验证算法的有效性,最后研究微结构分布状态对陶瓷多孔材料等效导热系数的影响。结果表明:采用统计多尺度模型及多尺度边界元算法预测随机复合材料的热传导性能是有效的。
The heat transfer behavior is an important issue in the service life of spacecraft thermal protection system. Studying the heat transfer mechanism of random composite can provide a theoretical basis for the integrated design of thermal protection system materials and structures. Aiming at the problem of heat conduction in random composites, a statistical multiscale boundary element algorithm is developed. First, a statistical multi-scale analysis model of equivalent material parameters is established. Then, a multiscale boundary element prediction algorithm with equivalent parameters in statistical sense is given. Compared with the theoretical results, the validity of the algorithm is verified. Finally, the influence of microstructure distribution on the equivalent thermal conductivity of ceramic porous materials is investigated. The results show that it is effective to predict the thermal conductivity of random composites by using statistical multi-scale model and multi-scale boundary element method.