A Viscoelastic Micropolar Model of Continuous Body De-formation for a Plane Strain State

Authors

  • Omar Kikvidze Akaki Tsereteli State University Author

Keywords:

viscoelastic, couple-stresses, micropolar, stress, strain, strain rate

Abstract

The paper considers the viscoelastic generalized model of a continuous body deformation, in which each microparticle of the body performs the certain movements and creates the so-called micropolar area. In the micropolar region, the rotational interaction of particles is envisaged, and along with a normal stress field, there are also couple stresses related to the rotational interaction. Stresses and strains are described by non-symmetric tensors. Based on the principle of parallel connection of elastic and viscous elements, the indicial equations of the viscoelastic model are written. A system of closed equations for the two-dimensional plane strain state with respect to the components of the linear displacement and rotation vectors has been obtained. Initial and boundary conditions are formulated.

References

Sandru, N. 1966. „On Some Problems of the Linear Theory of the Asymmetric Elasticity“ // Int.J.Eng.Sci., 4, №1. 1966.

Еремеев, В. А., Зубов, Л.М. 1999. „Теория упругих и вязкоупругих микрополярных жидкостей“ //ПММ. 1999, т.63. Вып.5, 1999: 801-815.

Новацкий, В. 1975. Теория упругости (Перевод с польского). М.: Изд.-во Мир.

Никабадзе, М.У. 2010. „К условиям совместности в линейной микрополярной теории“ //Вестн. Моск. ун-та. Сер. 1. Матем. Механ. №5. 2010: 48–51.

Downloads

Published

2025-01-25

Issue

Section

Mechanics of Materials

How to Cite

A Viscoelastic Micropolar Model of Continuous Body De-formation for a Plane Strain State. (2025). Bulletin of Akaki Tsereteli State University, 1(21), 189-199. https://moambe.journals.atsu.edu.ge/index.php/moambe/article/view/66

Similar Articles

You may also start an advanced similarity search for this article.