Kinematical Theory for Grain Motion during Superplastic Deformation

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The displacement vectors of 748 grains of tetragonal zirconia ceramics were measured by electron microscopic observation of grain structure before and after superplastic deformation. Trajectory analysis showed that grains moved in zigzag way. So, the displacement vector was divided into the random walk vector and the drift vector calculated by finite element analysis Variances of random walk vectors for tensile direction and lateral direction had an inverse correlation at the beginning of superplastic deformation, however, these two variances became the almost same value with the deformation. The tendency was analyzed with Langevin equation.