Comparison of Thermoelastic Micromechanical Response of Polycrystalline Microstructures using Finite Element Method and Fast Fourier Transform-based Method
Department of Materials Science and EngineeringA comparison of the results from the finite element method (FEM) and fast Fourier transform-based (FFT) method, was carried out in the context of the thermoelasticity. In order to validate and compare each numerical method, the thermoelastic response of heterogeneous materials system, the Eshelby???s inclusion problem was adopted. Both similarity and discrepancy of the thermoelastic responses between two methods were examined. It was found that both methods showed similar trends in predicting average values of mechanical response, however, produced quite a big discrepancy at the particle-matrix boundary regions. This result will raise the question that which method predicts better response of thermoelasticity for a three-dimensional polycrystalline material under thermal loading, where, especially, the extreme values (i.e., hot spots in stress) are preferentially located around the grain boundary regions and eventually cause the failure of rather brittle polycrystalline materials.clos
