| In this paper, Computational Micromechanics Method (CMM) is developed for the response analysis of the Functionally Graded Materials (FGMs) in micro scale. Essentially, CMM is a finite element analysis method based on the real microstructure of FGMs, which involves the digital image processing technique, the auto mesh generation technique with the finite element method.Neither variables nor the differential equations are required for CMM. The microstructure photos and the numerical approach are employed to replace the variables and the differential equations respectively. Firstly, microstructure photos of the real structure of FGMs are required. Secondly, the digital image processing technique and the auto mesh generation technique are employed for the construction of FEM models. Finally, the finite element analysis software is used for the response analysis of FGMs under the various load conditions. Besides, a simple and efficient method is developed to generate the finite element grids automatically for the real structure simulation of FGMs.Firstly, PSZ/NiCrAlY FGM is employed for the study of equivalent creep properties of FGMs. The microscopic response analysis model of FGMs under working environment is studied by CMM. The temperature and thermal stress responses of FGMs under the thermal shock loads are investigated in micro scale. Moreover, CMM is applied for the elementary study of the fracture mechanics problems of FGMs.The results indicated that CMM is an effective approach for the response analysis of FGMs in micro scale. Neither the regularity nor the periodicity of the material microstructure is required for CMM analysis. CMM can study almost all factors (e.g. boundaries, size, distribution of inclusions, damage, etc.), which may affect the FGMs properties. CMM can solve the problems which can't be solved by conventional methods. Because the analyzed model of CMM is constructed based on the real microstructure of FGMs, it can obtain the response results in micro scale.
|
PDF Full Text Request