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Grain growth has significant effect on the material’s microstructure and properties. In this thesis, the grain growth processes under the conditions of the second-phase particles (SPP) with different geometric orientations are studied by means of the phase-field method. The main results are as follows: 1. In the grain growth process, most of the spherical SPP locate at the intersection of crystal boundary, while stick SPP locate at the grain boundary with the same direction as the grain boundaries. 2. Under the condition that the SPP area fraction is constant, stick SPP in different orientations has little effect on the grain size. 3. Under the condition that the SPP area fraction and size are constants, there is no difference between stick SPP and spherical SPP in the pinning effect on grain growth when the area fraction of the SPP is small. 4. The SPP show a strong pinning effect on grain boundary and the limited grain radius can be expressed by Zener relations. Introduction Microstructures of materials largely determine their various properties of macroscopic. And the evolution of grains has a direct impact on the microstructure of material. Here we study the grain evolution with computer model. Based on phase-field model proposed by Chen and Yang [1], Moelans et al. [2-3] first simulated grain growth in two-dimensional systems containing finely dispersed SPP. Suwa and Saito [4] simulated grain growth in three dimensional system containing finely dispersed SPP. Gao Yingjun [5] extended model proposed by Moelans et al. [3] to study pinning effects of the hard particles on grain growth. LongYongqiang.et al [6] studied phase field modeling for effects of spherical and discal SPP on grain growth. Luo Zhirong et al [7] researched effect of stick SPP with different orientations on grain growth simulated by phase-field method. This paper applies the order parameter phase-field model to simulate the effect of the second-phase particles of various orientations on grain evolution in single phase system. Phase-field Model and Numerical Solution According to the diffuse interface theory and field theory, the total free energy F can be described by all phase-field parameter and gradient coefficients, namely           r d r r r f F

Phase-field Simulation of Effect of the Second-phase Particles with Different Geometric Orientations on Grain Evolution