About one-dimensional inhomogeneity of elastic characteristics of materials

The analysis of existing methods for modeling the elastic characteristics materials is carried out. It taken into account one-dimensional continuous inhomogeneity characteristics. In contrast to known monotone functional dependencies that describe distribution mechanical bodies along one direction, we propose models describing inhomogeneous properties are non-monotonically distributed coordinate. An approximate analytical solution Lame problem obtained a specific non-monotonic displacement modulus radial in form convergent sequence approximations. A numerical experiment performed values approximating coefficients and results analyzed.