By applying the quantum mechanics and relativistic mathematical model proposed by Muñoz-Andrade, the activation energy for super plastic flow in advanced materials is obtained. Over this framework, in the present study the activation energy for super plastic flow in advanced materials dependence on strain rate and phase velocity de Broglie are obtained. In addition, the nature determination of the wavelength of the cellular dislocations wave, associated with super plastic flow is calculated. It is concluded that the super plastic flow behavior is related with cooperative grain boundary sliding and self accommodation process, which is assisted in nature behavior by cellular dislocation dynamics. Furthermore, the most important results of this work are analyzed in the environment of the cosmic micromechanics connection during super plastic flow in advanced materials, also named as spatially extended polycrystalline systems.
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