ABSTRACT
ABSTRACT: The microstructure of polycrystalline materials determines the macro-mechanical properties of the materials, and the mechanical properties and service capability of materials are the most concerned issue by the users, therefore, a corresponding scientific and reasonable 3D reconstruction of the polycrystalline material microstructure will be of considerable significance to social development. In this paper, the author analyzed the micro-structural features of the polycrystalline materials’ composition and studied the rationality when Laguerre model being applied in the 3D reconstruction of the material microstructure so as to provide a space structure basis for the further study on the mechanical properties and service capability of materials. In this paper, the author first discussed the mathematical principles for the fitting of the Laguerre map and Laguerre model, dissected the feasibility when the model being applied in the microstructure study on polycrystalline materials, then according to the various anisotropic characteristics displayed by the materials, the author proposed a simulation method for the orientation of composition which constitutes the texture of the polycrystalline materials; finally, with the five algorithms given in the Laguerre model, the author worked out the corresponding 3D simulation images of the polycrystalline material microstructures, upon which the author further elaborated the applicable fields and the characteristics of the five models.
