A Viscoelastic Micropolar Model of Continuous Body De-formation for a Plane Strain State
Keywords:
viscoelastic, couple-stresses, micropolar, stress, strain, strain rateAbstract
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.
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