Determining the Parameters of the Hereditary Kernels of Nonlinear Viscoelastic Isotropic Materials in Torsion

Abstract

A method for determining the parameters of the hereditary kernels for nonlinear viscoelastic materials is tested in conditions of pure torsion. A Rabotnov-type model is chosen. The parameters of the hereditary kernels are determined by fitting discrete values of the kernels found using a similarity condition. The discrete values of the kernels in the zone of singularity occurring in short-term tests are found using weight functions. The Abel kernel, a combination of power and exponential functions, and a fractional-exponential function are considered