SiCP/Al复合材料晶面衍射弹性常数的两相模型计算
Calculation of diffraction elastic constants of SiC particle reinforced aluminum alloy composite by two phase model

通过分析外载荷作用下，SiCP/Al复合材料中Al基体相和SiC相的相互作用关系，运用自洽方法和Eshelby夹杂理论，建立了一套预测SiCP/Al复合材料"晶面衍射弹性常数"的两相模型。运用该模型计算SiC相和Al相若干晶面的"晶面衍射弹性常数"，并与实验测量值进行比对。结果显示，SiC相的{101}及{116}晶面和Al相的{222}晶面的模型计算值均与实验值高度吻合，偏差小于6%。其他晶面的弹性常数值与实验值的偏差均在15%之内。说明该理论模型具有较好的预测性，可靠性较高。通过这一理论预测模型来计算复合材料的"晶面衍射弹性常数"既能避免实验测量的繁琐，减少人力和物力资源浪费，又能得到难以通过实验测量获得的"晶面衍射弹性模量"。 By analyzing the reaction between matrix (Al) and inclusions (SiC) in SiC particle reinforced aluminum alloy composite under uniaxial loading, a two phase model for accumulation of diffraction elastic constants of SiC particle reinforced aluminum alloy composite was built through using self-consistent model and inclusion model. Several diffraction elastic constants of Al phase and SiC phase were figured out by the two phase model. The results calculated by the two phase model of {101} and {116} of SiC and {222} of Al are all highly coincided with test results, which give only a difference of less than 6%. And the others show difference of less than 15%. All results show the theoretical model is reliable and can predict accurately. This kind of predict model can not only avoid the tedious experiment and save the money, but also can make accurate predictions of some materials difficult to test. 国家自然科学基金重大科研仪器设备研制专项（51327902）；国家科技重大专项（2014ZX04012011）；国家重点基础研究计划（2012CB619502）