Izvestiya of Saratov University.
ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

микрополярный континуум

To 60th anniversary of professor Yuri N. Radayev

The article is dedicated to the 60th anniversary of professor Yu. N. Radaev, the well-known scientist in the field of mechanics of deformable solids and applied mathematics, the member of the editorial board of the journal “Izvestiya of Saratov University. Mathematics. Mechanics. Informatics”. 

Micropolar Thermoelastic Continuum Models with Constrained Microstructural Parameters

A new micropolar thermoelastic continuum model forrmulated by microstructural d-vectors and d-tensors of an arbitrary ranks is proposed. The microstructural vectorial and tensorial extra-field variables are restricted by holonomic or non-holonomic (differential) constraints. The study is carried out in the framework of the Lagrange field formalism as a 4covariant field theory.

On Rationally Complete Algebraic Systems of Finite Strain Tensors of Complex Continua

The paper is devoted to the mathematical description of complex continua and the systematic derivation of strain tensors by the notion of isometric immersion of complex continuum in a plane space of higher dimension. Problem of establishing of complete systems of irreducible objective strain and extra-strain tensors for complex continuum immersed in an external plane space is considered. The solution to the problem is given by methods of the field theory and the theory of algebraic invariants.