Elasticity constants in the case of polycrystalline materials with multiple phases
Keywords:
extremum, discrepancy of measures, multiphase polycrystal, stress, strain, anisotropyAbstract
The patterns of change in elastic constants in multiphase polycrystalline materials with cubic lattices are investigated. The relationship between local and macroscopic parameters is established based on the principles of averaged bonds, orthogonality of stress and strain tensor fluctuations, and the extremum of the discrepancy between macroscopic measures and the appropriate average values of microscopic analogues. A closed system of equations has been established for determining macroscopic elastic constants and the parameter of deformation and stress heterogeneity. Numerical studies of the influence of phase elastic characteristics and volume content on the values of macroscopic elastic constants are presented.
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