Tensor nonlinear viscoelastic models by maxwell-type: vibrocreep and ratcheting

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Abstract

Some effects of the stress-strain state, such as vibrocreep, creep acceleration and ratcheting, observed and studied in experimental mechanics of a deformable solid, are proposed to be modeled on the basis of constitutive relations implemented in tensor nonlinear viscoelastic Maxwell-type models. The apparatus of isotropic tensor functions depending on two symmetric tensor arguments is involved. Examples of a complex stress state in a tubular specimen are given, when there is a significant disproportionate increase in time of the axial component of strain under the combined action of constant axial and vibrational shear loads compared with the case of the action of only axial load. The concepts of generalized and combined ratcheting are introduced in conditions of a complex stress state.

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About the authors

D. V. Georgievskii

Lomonosov Moscow State University; Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Moscow Center of Fundamental and Applied Mathematics

Author for correspondence.
Email: georgiev@mech.math.msu.su
Russian Federation, Moscow; Moscow; Moscow

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