Results 1 to 10 of about 38 (32)

On Wave Solutions of Dynamic Equations of Hemitropic Micropolar Thermoelasticity [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019
Coupled equations of hemitropic thermoelastic micropolar continuum formulated in terms of displacement vector, microrotation vector and temperature increment are considered. Thermodiffusion mechanism of heat transport is assumed. Hemitropic thermoelastic
Kovalev, Vladimir Aleksandrovich, Radaev, Yurii Nickolaevich   +1 more
doaj   +3 more sources

The Lagrange multipliers method in covariant formulations of micropolar continuum mechanics theories [PDF]

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
Linear model of micropolar elastic continuum (known also as the Cosserat continuum) is considered. Kinematics and strain measures are discussed.
Yuri N Radayev
doaj   +2 more sources

Micropolar continuum modelling of bi-dimensional tetrachiral lattices. [PDF]

Proc Math Phys Eng Sci, 2014
The in-plane behaviour of tetrachiral lattices should be characterized by bi-dimensional orthotropic material owing to the existence of two orthogonal axes of rotational symmetry.
Chen Y, Liu XN, Hu GK, Sun QP, Zheng QS.
europepmc   +2 more sources

On the constitutive pseudoscalars of hemitropic micropolar media in inverse coordinate frames [PDF]

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
The paper is devoted to the constitutive pseudoscalars associated with the theory of hemitropic micropolar continuum. The basic concepts of pseudotensor algebra are presented. The pseudotensor form of the hemitropic micropolar elastic potential is given,
Eugenii V. Murashkin, Yuri N. Radayev
doaj   +1 more source

On a ordering of area tensor elements orientations in a micropolar continuum immersed in an external plane space

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
The paper deals with the problems of ordering the reper orientations for a micropolar continuum immersed in an external plane space. Based on the concept of an elementary tensor volume (area) \(M\)-cells, an algorithm for comparing and matching ...
Eugenii Valeryevich Murashkin, Yuri Nikolaevich Radayev   +1 more
doaj   +3 more sources

Generalized pseudotensor formulations of the Stokes’ integral theorem [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022
Oriented continua play an important role in micropolar elasticity modelling. All realizations of micropolar theories are conceptually possible only within the framework of the pseudotensor formalism and the orientable manifold notion.
Radaev, Yuri Nickolaevich, Murashkin, Evgenii Valeryevich   +1 more
doaj   +1 more source

On the theory of fourth-rank hemitropic tensors in three-dimensional Euclidean spaces

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
The paper is devoted to problems concerning the tensors with constant components, hemitropic tensors and pseudotensors that are of interest from the point of view of micropolar continuum mechanics. The properties and coordinate representations of tensors
Eugenii V. Murashkin, Yuri N. Radayev
doaj   +1 more source

On a micropolar theory of growing solids

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The present paper is devoted to the problem of boundary conditions formulation in the growing micropolar solid mechanics. The static equations of the micropolar continuum in terms of relative tensors (pseudotensors) are derived due to virtual work ...
Eugenii Valeryevich Murashkin, Yuri Nikolaevich Radayev   +1 more
doaj   +1 more source

On plane thermoelastic waves in hemitropic micropolar continua

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
The paper deals with the coupled heat transport and dynamic equations of the hemitropic thermoelastic micropolar continuum formulated in terms of displacements, microrotations and temperature increment which are to be determined in applied problems.
Yuri Nikolaevich Radayev, Vladimir Aleksandrovich Kovalev   +1 more
doaj   +1 more source

Two-dimensional Nye figures for hemitropic micropolar elastic solids [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
The paper is devoted to a wide range of problems related to the two-dimensional Nye figures for micropolar continua. The method of two-dimensional matrix representation of fourth-rank tensors is well known from monographs on crystallography.
Murashkin, Evgenii Valeryevich, Radayev, Yuri Nickolaevich   +1 more
doaj   +1 more source