Plasticity Autowave Characteristics of Metals and the Periodic Table of Elements

Abstract

In this paper, the general laws of localized plastic flow development are described for the linear work hardening stages of nineteen metals. The correlations are established and discussed between their element position in the periodic table of elements and the parameters of the autowave process of localized plastic flow in these elements. Patterns of plastic flow are considered for nineteen metals from the 3rd, 4th, 5th, and 6th periods of the periodic table of elements. A conditional characteristic of plasticity is introduced and its relationship with the position of the metals in the periodic table of elements is established. Correlations between the plastic properties and other metal characteristics were analyzed. Some quantitative models are proposed for explaining the observed dependency origin by the drag of moving dislocation by electron gas in metal crystals. Observed correlations indicate the existence of a close bond between localized plastic flow in deforming medium with the lattice characteristics of the elements and their electron structures.

The Macroscopic Phenomena in Plasticity

“…The extensive information of this study was provided by combining mechanical tests with the optical observations of localized plasticity patterns [9]. The flat specimens with the dimensions of 50 mm × 6 mm × 2 mm were exposed to tension at a rate of 3.5•10 −5 s −1 using Instron-1185(Instron, Buckinghamshire, UK) and LMF-125 testing machines (Walter + Bai AG, Löhningen, Switzerland) y at 300 K. The specimens prepared from non-metallic materials were subjected to compression tests.…”

“…Now it is clear that the problem at hand is the development of the new model of plastic flow evolution during plastic deformation. This is also evident from works [8][9][10]12], revealing that the nature of the macroscopic length of localized plastic flow autowaves remains poorly understood. As mentioned above [7], the plastic flow localization can be regarded as a spontaneous process of self-organization ('structure formation') in an open system.…”

“…In parallel, Nicolis and Prigogine [6] have declared that, apart from their nature, processes in the deforming media must be studied "as part of the general problem of nonlinear dynamical systems operating away from equilibrium", i.e., in the framework of synergetics [7]. The experiments have shown [8][9][10] that the plastic flow in solids exhibits complicated space-time behavior. This point should be taken properly into account to markedly advance our understanding of the deforming medium stratification into alternating deformation and non-deformation.…”

“…The proposed conceptual representation appears to be productive for theoretical purposes, especially in plasticity physics. A close relation between the plastic and acoustic characteristics of the deforming medium implies that the deformation processes can be described by a hybridized spectrum of excitations [9]. Such a spectrum is obtained by imposing the linear dispersion relation ω ≈ V t k for phonons and the quadratic dispersion relation ω = ω 0 + α(k − k 0 ) 2 for autowaves.…”