Paper Title:

Mathematical Model for Super Plastic Flow in Advanced Structural Materials

Periodical Materials Science Forum (Volumes 551 - 552)
Main Theme Superplasticity in Advanced Materials - ICSAM 2006
Edited by K.F. Zhang
Pages 67-72
DOI 10.4028/www.scientific.net/MSF.551-552.67
Citation Juan Daniel Muñoz-Andrade, 2007, Materials Science Forum, 551-552, 67
Online since July 2007
Authors Juan Daniel Muñoz-Andrade
Keywords Activation Energy, Cellular Dislocation Dynamics, Cosmic Structure, Hubble Flow, Planck Length, Plastic Flow, Super Plastic Flow
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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].

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