空间材料质损过程的数学分析与理论的实验验证

本文建立了与材料历史、材料质损过程相关的数理方程;解之,给出了质损过程初始条件的解,否定了质损研究历史上对初始条件的简化处理;在选取初始条件严格数理解的前题下,对有关质损过程的定解问题求解,给出了质损W(T,t)随温度和时间变化的关系——双指数函数;设计了理论、实验拟合方法——多维参数优选搜索累次迭代法及相关的计算机程序,并据此方法对多种有机材料、复合材料在真空微量天平质损测试系统上取得的实验数据予以处理。结果表明:双指数理论与实验吻合很好,理论值与实验值的均方偏差均在10~(-3)～10~(-4)范围。

MATHEMATICAL ANALYSES & EXPERIMENTAL VERIFICATION ON SPACECRAFT MATERIALS MASS LOSS PROCESS

Based upon a view that mass loss just is a diffusion releasingprocess,considering the effects of diffusion and degradation,the article hasestablished two mathematical expression groups concerning the history ofmaterials and mass loss process itself.By solving them,a general form ofthe function W(T,t)versus temperature and time,i.e.a bi-exponentialform,has been finally gotten.A corresponding fitting method has been devised and used to process andfit esperimental data.The results show that bi-exponential function has agood agreement with experiments.The mean square deviations are between10~(-3)-10~(-4).