The possibilities and applicability limits of the Rabotnov physically nonlinear constitutive
equation containing two arbitrary material functions for nonaging materials are investigated …

The development of the hereditary mechanics was begun by Boltzmann in the middle of the
19th century and then was rather significantly advanced by Volterra [1, 2] who constructed …

The Rabotnov nonlinear constitutive equation with two arbitrary material functions for
rheonomous materials in the one-dimensional case is analytically investigated. An equation …

Some minimal prior constraints are imposed on the two material functions used in the
Rabotnov nonlinear constitutive relation. The asymptotic dependence of creep curves on the …

At the present time, different variants of kernels in corresponding Boltzmann--Volterra
equations are proposed for description of stress-relaxation and creep processes. A …

The general properties of the relaxation curves with the initial stage of deformation and their
dependence on the duration of the initial stage of deformation and the properties of the …

A physically nonlinear Maxwell-type constitutive relation with two material functions for
nonaging materials is studied analytically in order to reveal the set of basic rheological …

At the start of investigations into the processing problems, the case in which the medium is
structurally stable and the changes of its properties are determined exclusively by the …

Relaxation experiments for metallic materials and solid polymers have exhibited nonlinear
dependence of stress relaxation on prior loading rate; the relaxed stress associated with the …

This work proposes an effective algorithm for description of nonlinear deformation of
hereditary materials based on Rabotnov's method of isochronous creep curves. The notions …