Comparative Analysis Modulus Elasticity Estimates for Composite Anisotropic Spherical Inclusions

A comparative quantitative analysis of elastic properties estimates of a composite with anisotropic spherical inclusions that has different elastic characteristics is carried out. The article considers the variational approach in order to build bilateral boundaries values of the elastic moduli of the composite that allows to estimate the greatest possible error of calculation for these value. With the help of the method of self-consistency a system of nonlinear algebraic equations is obtained. This system establishes connection of the composite elastic characteristics with the volumetric concentration of inclusions and elastic properties of the matrix and of the inclusions. The opportunity of taking into account the influence of porosity on value of the composite elastic moduli is shown. The authors carried out comparison of the calculations results of elastic properties for the composite with different porosity and a matrix made of cobalt, reinforced with dispersed particles of tungsten carbide, with known experimental data on the measurement of the longitudinal elastic modulus of the composite used in the manufacture of cutting and drilling tools and creating and wear-resistant coatings.

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