## 3 Results and Discussion
### XRD Phase Composition Diagram of the Ceramic Material
When the addition of the CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder is 10 vol%, excellent comprehensive mechanical properties are obtained. Figure 5: SEM morphology: (**a**) 10 vol% nano CaF\({}_{2}\) powder; and (**b**) 10 vol% nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder. Mechanism Analysis of Co-Modification of Micron ZrO\({}_{2}\) Whisker and Nano Coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) Powder  
From the analysis above, the addition of micron ZrO\({}_{2}\) whisker and nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder have a significant influence on the ceramic material. The Al\({}_{2}\)O\({}_{3}\)/Ti(C,N) ceramic material added 6 vol% ZrO\({}_{2}\) whisker and 10 vol% nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder was fabricated. The performance of the ceramic material was measured. The hardness of the Al\({}_{2}\)O\({}_{3}\)/Ti(C,N)/ZrO\({}_{2}\)/CaF\({}_{2}\)@Al(OH)\({}_{3}\) ceramic material is 16.72 GPa, the flexural strength is 520 MPa and the fracture toughness is up to 7.16 MPa-m\({}^{1/2}\). For the convenience of analysis, the sintering diagram of the material is drawn in Figure 7, and the micro-morphology of the ceramic material after sintering is observed. In the sintering course of the Al\({}_{2}\)O\({}_{3}\)/Ti(C,N)/ZrO\({}_{2}\)/CaF\({}_{2}\)@Al(OH)\({}_{3}\) ceramic material, with the development of temperature and soaking time, the crystal grains grow gradually. The matrix powders accommodated by ball milling will have the situation that small powders are gradually absorbed by large powders and the number of powders is continuously reduced. The growth of crystal grain rests with the motion of boundaries of particles. The boundaries in the matrix tend to migrate to the center, as indicated by mark 1 in Figure 7. Due to the shell material (Al\({}_{2}\)O\({}_{3}\)) of the lubricant being the same as the matrix powders (Al\({}_{2}\)O\({}_{3}\)) of the ceramic material, the nano powders are dispersed into the interior of the matrix material during the sintering of the ceramic material. With the intergranular  
Figure 6: Mechanical properties of Al\({}_{2}\)O\({}_{3}\)/Ti(C,N) with the nano coated CaF\({}_{2}\)@Al(OH)\({}_{3}\) powder. (**a**) Hardness and Flexural strength, (**b**) Fracture toughness and Relative density. Figure 4.0 Schematic diagram of sintering the Al\({}_{2}\)O\({}_{3}\)/Ti(C,N)/ZrO\({}_{2}\)/CaF\({}_{2}\)@Al(OH)\({}_{3}\) ceramic material. nanostructure of the nano CaF\({}_{2}\) powders dispersed inside, the surface coating design avoids powder agglomeration growth. After hot pressing, the nano powder exists inside the matrix crystal, and the matrix and nano powders form the intragranular structure. The related studies have shown that the intragranular structure can toughen the ceramic material [37; 38]. The nano powder promotes the generation of more intragranular structures, which enhances the mechanical properties of the ceramic material. As shown in Figure 7, the nano powders form intragranular structures. The appearance of this intragranular structure is one of the main reasons for enhancing the mechanical properties of the ceramic material prepared in this paper. The ZrO\({}_{2}\) whiskers have a unique phase transition effect. In the sintering process, when the temperature reaches 1170 \({}^{\circ}\)C, the m-ZrO\({}_{2}\) is completely converted into the t-ZrO\({}_{2}\). In the cooling process, when the temperature is less than 950 \({}^{\circ}\)C, the matrix materials have the binding effect on the t-ZrO\({}_{2}\), which hinders the conversion of the t-ZrO\({}_{2}\) into the m-ZrO\({}_{2}\) and enables the t-ZrO\({}_{2}\) to be preserved at room temperature. The toughening effect of the phase transition generated by the ZrO\({}_{2}\) is mainly attributed to the crack growth being inhibited by the phase transition of t-ZrO\({}_{2}\). The existence of the t-ZrO\({}_{2}\) in the material is the necessary condition for phase transformation toughening. This makes up for the natural defects caused by the azimuth angle of the dispersion whisker reinforced the ceramic materials.