Dissipation mechanisms under irreversible deformation

National University of Science and Technology “MISiS”, 119991, Moscow, Leninsky prospect, 4, RF

^* Corresponding author: alyushin7@gmail.com

Abstract

The possibility is shown of the transition from reversible to irreversible deformation without additional energy from outside sources by changing the distribution of speeds and accelerations of the particles of the continuum. Two models of irreversible deformation are proposed. The first of which uses a different correlation between transverse and longitudinal deformations at each stage, while the second stage is accompanied by dissipation of energy, stored in the previous elastic stage. For the second model with ideal rigid-plastic continuum, the sequential formation of several families of planes of sliding was substantiated. After the formation of the first one a sliding starts in the second family, which consumes less energy. The consequence is the dissipation and reduction of loadings, the stand sliding on the first family. For the further development of strain it is required to increase loadings up to a critical value, corresponding to the beginning of the first stage. The both models are consistent with the experimentally observed mechanisms of irreversible deformation.