Open AccessElements of thermomechanics of plasticity under complex loading
Author(s) -
I. N. Molodtsov,
D. O. Babaeva
Publication year - 2015
Publication title -
izvestiâ mgtu "mami"
Language(s) - English
Resource type - Journals
eISSN - 2949-1428
pISSN - 2074-0530
DOI - 10.17816/2074-0530-67158
Subject(s) - plasticity , metric (unit) , process (computing) , euclidean geometry , space (punctuation) , metric space , euclidean space , statistical physics , computer science , materials science , mathematics , thermodynamics , mathematical analysis , physics , geometry , engineering , operations management , operating system
The problem of the theory of elastic-plastic process is the establishment of criteria for loading and unloading. In this paper, the equations of the process describe the transition from Euclidean metric, normal for the source deviatoric space, to internal metrics, definitely related to the processes of deformations and loadings. This transition allows without additional assumptions to introduce so-called structural parameters characterizing the irreversible behavior of the material and to build a thermomechanics variant, providing a wide range of opportunities to determine all thermodynamic parameters of the model and formulation of the thermodynamic inequalities.