A method for determining design characteristics of microstrains in isotropic polycrystals (a topical paper)

Formulas for the joint distribution of all microstrain components in the microstructure of isotropic polycrystals with cubic, hexagonal, tetragonal, and orthorhombic symmetry of elastic properties for the general case of a triaxial stressed state are derived. The symmetry of microstrain field characteristics corresponds to the structure of a field tensor of rank 4. Analytical relationships for the inhomogeneity parameters of microstrains for different strain schemes and symmetries of the crystal lattice of a polycrystal are established. Numerical results for titanium, uranium, iron-aluminum alloys, and polycrystalline elements of the first and second groups of the periodic table of elements are presented.