Open AccessOn quasi-linearization of correlations in quadratic elasticity theory for isotropic media
Author(s) -
N. M. Matchenko
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1479/1/012127
Subject(s) - isotropy , quadratic equation , elasticity (physics) , linearization , mathematical analysis , mathematics , quadratic function , tensor (intrinsic definition) , anisotropy , physics , nonlinear system , pure mathematics , quantum mechanics , geometry , thermodynamics
This paper exposes the strain potential of the quadratic theory of elasticity for isotropic media. The strain potential is represented as a sum of the quadratic and the cubic part. A system of experiments, carried out to define five constants included in the potential, is exposed. Different variants of building quasi-linear correlations are discussed. The rationality of linearizing constitutive correlations by reducing the degree of the potential’s cubic part by division by the quadratic convolution module of stress tensor components is doubted because the correlations thus found are lengthier than the correlations from the quadratic elasticity theory.