On The Hyperbolic Flow Manifested During The Irreversible Deformation Processes In Spatially Extended Crystalline Systems

Abstract

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.

Systematic Study of Polycrystalline Flow during <i>In Situ</i> Tension Test by SEM of Pb-50%Sn at Room Temperature

“…The polycrystalline flow mapping (PFM) during an axial tension test of spatially extended polycrystalline systems (SEPCS) has become a fundamental instrument to establish the phenomenology and mechanics of irreversible deformation process related with the mechanical properties of sheet metallic materials. During thermo mechanical processing (TMP), deformation mechanisms like dislocation dynamics, grain boundary sliding, twining, dynamic recrystallization, cavitation, emerging of grains from the inner volume to produce a new free surface play a significant role associated with the microstructure evolution on the surface of the metallic material [1][2][3][4]. Just, in a complementary way, it was proposed that the quantum mechanics and relativistic model in order to obtain the activation energy (Q ⊥ ) for plastic flow during axial tension test at crosshead velocity in SEPCS, which is given by the following equation:…”

On the Correlation between the Plastic Deformation and the Fractal Dimension of the Stainless Steel 304 Mesostructure

“…Also, it has been shown experimentally that such phenomenology and the dynamics of the granular flow observed during plastic deformation of SEPCS describes hyperbolic trajectories, which are assisted by the dynamics of cellular dislocations [1][2][3]. Consequently, the crystal lattice imperfections are distributed over a periodic potential field and a work must be done to create or displace any crystal lattice imperfection to a new relative position.…”

The Activation Energy for Plastic Flow in Spatially Extended Polycrystalline Systems during Tension Test

“…In this way single crystals are considered spatially extended crystalline systems (SECS) and polycrystalline metals and alloys are considered as spatially extended polycrystalline systems (SEPCS). During deformation the microstructure of a SECS or SEPCS changes in several ways and evidently, at the same time, the SECS or SEPCS are in a nature cosmic micromechanics connection [2][3][4][5]. This is a conceptual principle to describe the dynamics of infinite number of spatially extended physical systems and their interactions with respect to each other inside and outside our universe.…”

“…Furthermore, with this framework, it has been shown that by the application of the quantum mechanics and relativistic cosmic micromechanics connection model, it is feasible to obtain the activation energy (Q ⊥ ) for plastic flow in SEPCS as follow [3][4][5][6]:…”