Open AccessUniversal models of the constitutive relations for transversely isotropic compressible composites with finite strains
Author(s) -
Yu. I. Dimitrienko,
Е. А. Губарева,
S. B. Karimov,
D. Yu Kolzhanova
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/934/1/012012
Subject(s) - transverse isotropy , compressibility , constitutive equation , isotropy , deformation (meteorology) , finite strain theory , strain energy , mathematics , composite number , mathematical analysis , materials science , finite element method , physics , composite material , mechanics , structural engineering , engineering , algorithm , quantum mechanics
A model of a transversely isotropic compressible elastic medium with finite strains is proposed. The model belongs to the class of the so-called universal models, which are formulated in terms of energy (conjugated) pairs of stress and strain tensors - simultaneously for several types of pairs. An algorithm is proposed for calculating the constants included in the constitutive relations of this model, based on a comparative analysis of the results of calculating deformation diagrams under uniaxial loading according to this model and using the asymptotic averaging method. An example of numerical modeling for a layered composite is given.