Single Approach to the Description of the Relation Between Micro-and Macrostates in Reversible and Irreversible Deformation of Polycrystals

• Published in: International applied mechanics Vol. 57; no. 6; pp. 707 - 719
• Main Authors: Marina, V. Yu, Marina, V. I.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.11.2021; Springer; Springer Nature B.V
• Subjects: Analysis; Applications of Mathematics; Density distribution; Distribution (Probability theory); Distribution functions; Elastic deformation; Elastic properties; Engineering; Mechanical properties; Orthogonality; Oscillations; Parameters; Polycrystals; Single crystals; Strain; strain; stress; anisotropy; single crystal; polycrystal; tensor; structure
• ISSN: 1063-7095; 1573-8582
• DOI: 10.1007/s10778-022-01120-x

The problem of the relationship between local and general mechanical parameters that describe the thermoreological properties of polycrystalline materials is considered. The change of parameters describing the relationship between stress and strain oscillations at two levels of the structure is analyzed. The assumption of the invariance of the density distribution function of the elastic boundaries of sub-elements in the process of irreversible deformation is used. This study is based on the principles of discrepancy between the macroscopic measures and the microscopic analogs and the orthogonality of stress and strain oscillations. It is shown that at small values of the curing factor of subelements typical for the stages of easy-sliding single crystals, this model describes such specific effects as plateau or yield drop and change of elastic properties under irreversible deformations.