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The objective of this work is to describe the string theory and cosmic connection during super plastic flow in spatially extended polycrystalline systems (SEPCS), where the phenomenology and mechanics of the crystalline structure of the universe in a relativistic framework at Max Planck scale plays an important role. According to string theory as the unified theory of every thing, dislocations dynamics is related in nature form with the string theory. Consequently, dislocations at Max Plank scale are the universal way of working of every thing. In this physical framework, the theoretical model of Muñoz-Andrade allows obtained the activation energy for super plastic flow in SEPCS. Finally, the main results of this work are analyzed in the context of the unified interpretation of string theory as cosmic connection during Hubble flow, plastic flow and super plastic flow.

The purpose of this work is to describe and analyze the phenomenology and mechanics of the hyperbolic flow manifested during the irreversible deformation process in spatially extended crystalline systems (SECS). In general the hyperbolic flow is linked with an accelerated motion. Likewise, in a recent contribution, it was established for super plastic advanced structural materials (SPASM) that, this hyperbolic flow is related to the movement of cooperative grain boundary sliding due to cellular dislocation dynamics, where the ratio between the expansion velocity of the field and the velocity of the field source is not constant and the field lines become curved. In this physical framework and by the application of the Mufioz-Andrade mathematical model for the calculation of activation energy for irreversible deformation processes in SECS, related with cosmic micromechanics connection of surface effects, an interpretation on the nature of the super plastic flow in SPASM is presented.

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 at all times and for every temperature during experimental conditions of super plastic forming. 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 λ⟂ 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 advanced materials.