Abstract
This paper is the first attempt to use the quasi-particle representations in plasticity physics. The de Broglie equation is applied to the analysis of autowave processes of localized plastic flow in various metals. The possibilities and perspectives of such approach are discussed. It is found that the localization of plastic deformation can be conveniently addressed by invoking a hypothetical quasi-particle conjugated with the autowave process of flow localization. The mass of the quasi-particle and the area of its localization have been defined. The probable properties of the quasi-particle have been estimated. Taking the quasi-particle approach, the characteristics of the plastic flow localization process are considered herein.
Highlights
The autowave model of plastic deformation [1,2,3,4] admits its further natural development by the method widely used in quantum mechanics and condensed state physics
The autowave characteristics of the localized plastic strain required for an analysis were obtained from visual pattern of their localized plasticity recorded by the speckle-photographic method (SPM) of analysis of deformation fields during elongation of flat samples described in detail in [1,2,3,4]
The first of well-known attempt direct application of quantum-mechanical interpretation localized plastic flow of autowaves was undertaken by Billingsley [16]
Summary
The autowave model of plastic deformation [1,2,3,4] admits its further natural development by the method widely used in quantum mechanics and condensed state physics. Few attempts of application of quantum-mechanical representations are known in plasticity physics. They were focused, for example, on direct quantum-mechanical treatment of specific details of plastic flow mechanisms unexplained by traditional approaches. Bell [6] paid attention to possible quantization of elastic modules of materials, and Steverding [7] introduced the representation about quantization of elastic waves accompanying a destruction process. Later on, this problem in expanded interpretation was considered by Maugin [8] with application to solitons in elastic media
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