Numerical determination of the resolvents of integral equations of linear visco-elasticity (Q2880013)

The author proposes an approach to solving problems of visco-elasticity of an anisotropic body, which does not require the construction of an analytic representation of creep and relaxation kernels. It is based on the numerical solution of integral equations of state for the environment and involves working with tables on a dense grid with smoothed data. A smoothing method and a data filling table are proposed in this paper. Smoothing is carried out by the method of least squares. The equations are derived from the resolvent equations of state in integral form. There is no need to pre-build the concrete form of the nucleus for the materials in the proposed method. This method eliminates the problem of determining the rheological parameters for the representation of the kernel that approximates the experimental curve.