Paper Title:
Mathematical Model for Super Plastic Flow in Advanced Structural Materials

Everything in the universe is a result of their own evolution, in consequence all advanced structural materials are physical objects spatially extended in a permanently cosmic connection with the advanced structural universe. In this context, the nature expansion rate of the universe (ξ u) was obtained in a similar way of super plastic flow in terms of the rate reaction theory, with the strong temperature dependence of strain rate as follow: exp 70( / sec)/ 2.26854593 . 18 1 0 − − = =         −         = = km Mpc s kT c Q H P P P u λ ξ Where, QP = the Planck activation energy of the system at the Planck scale (QP = 1.221x1028eV), λP = Planck length (λP = 1.62x10-35m), c = the speed of light (c = 299 792 458 m/s), (c/λP) = the overall frequency factor, k = the Boltzmann constant (k = 8.617x10-5eV/K), TP = the Planck temperature (TP = 1.010285625x1030K) and H0 = the Hubble constant. On the basis of this mathematical expression and their combination with the Orowan equation, it was obtained the mathematical model to predict the activation energy (Q) that is necessary to the glide cellular dislocations during deformation of the super plastic advanced structural materials. Consequently, in this work the application of this mathematical model for super plastic flow in advanced structural materials and the concept of cellular dislocation are reviewed in order to integrate in a general form the unified interpretation of Hubble flow, plastic flow and super plastic flow [1-3].

Materials Science Forum (Volumes 551-552)
Edited by
K.F. Zhang
J. D. Muñoz-Andrade, "Mathematical Model for Super Plastic Flow in Advanced Structural Materials", Materials Science Forum, Vols. 551-552, pp. 67-72, 2007
Online since
July 2007
Authors: Megumi Kawasaki, Cheng Xu, Terence G. Langdon
Abstract:A commercial aluminum 7034 alloy, produced by spray casting and having an initial grain size of ~2.1 μm, was subjected to equal-channel...
Authors: Young Gun Ko, Yong Nam Kwon, Jung Hwan Lee, Dong Hyuk Shin, Chong Soo Lee
Abstract:Cavitation behavior during superplastic flow of ultra-fine grained (UFG) Ti-6Al-4V alloy was established with the variation of grain size...
Authors: Jie Shao, He Ping Guo, Zhi Qiang Li, X.Q. Han
Abstract:This paper deals with the cavity formation and growth behavior of fine-grained 1420 Al-Li alloy during superplastic forming. The results...
Authors: Pierre Lhuissier, A. Villanueva Fernandez, L. Salvo, Jean Jacques Blandin
Chapter 11: Magnesium Alloys
Abstract:A way to overcome the low deformability of magnesium alloys at room temperature is toincrease the temperature of forming operations. The...