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Full-Text Articles in Biomedical Engineering and Bioengineering

Multiscale Modeling Of Recrystallization, A. W. Godfrey, E. A. Holm, D. A. Hughes, M. A. Miodownik, Richard Alan Lesar Nov 1998

Multiscale Modeling Of Recrystallization, A. W. Godfrey, E. A. Holm, D. A. Hughes, M. A. Miodownik, Richard Alan Lesar

Richard Alan Lesar

We propose a multi length scale approach to modeling recrystallization which links a dislocation model, a cell growth model and a macroscopic model. Although this methodology and linking framework will be applied to recrystallization, it is also applicable to other types of phase transformations in bulk and layered materials. Critical processes such as the dislocation structure evolution, nucleation, the evolution of crystal orientations into a preferred texture, and grain size evolution all operate at different length scales. In this paper we focus on incorporating experimental measurements of dislocation substructures, misorientation measurements of dislocation boundaries, and dislocation simulations into a mesoscopic …


Approximate Analytical Solution For Seepage Flow With Fractional Derivatives In Porous Media, Ji-Huan He Dec 1997

Approximate Analytical Solution For Seepage Flow With Fractional Derivatives In Porous Media, Ji-Huan He

Ji-Huan He

In this paper, a new and more exact model for seepage flow in porous media with fractional derivatives has been proposed, which has modified the well-known Darcy law and overcome the continuity assumption of seepage flow. A new kind of analytical method of nonlinear problem called the variational iteration method is described and used to give approximate solutions of the problem. The results show that the proposed iteration method, requiring no linearization or small perturbation, is very effective and convenient.