Results 11 to 20 of about 93 (69)

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 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

Inverse Hooke's law and complementary strain energy in coupled strain gradient elasticity

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 101, Issue 9, September 2021., 2021
Abstract The inverse Hooke's law and complementary strain energy density has been examined in the context of the theory of coupled gradient elasticity for second gradient materials. To this end, it was assumed that the potential energy density is a quadratic form of the strain and of the second gradient of displacement.
Lidiia Nazarenko, Rainer Glüge, Holm Altenbach   +2 more
wiley   +1 more source

On the theory of linear micropolar hemitropic media [PDF]

Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния, 2020
В статье рассматриваются вопросы применения относительных тензоров при моделирвоании гемитропных микрополярных сред. Вводится определяющая форма микрополярного упругого потенциала. С помощью принципа виртуальной работы получаются определяющие уравнения для силовых и моментных характеристик микрополярного континуума в терминах относительных тензоров ...
openaire   +2 more sources

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

An Anisotropic Hyperelastic Constitutive Model with Bending Stiffness Interaction for Cord‐Rubber Composites: Comparison of Simulation Results with Experimental Data

Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
Based on the invariant theory of continuum mechanics by Spencer, the strain energy depends on deformation, fiber direction, and the gradients of the fiber direction in the deformed configuration. The resulting extended theory is very complicated and brings a nonsymmetric stress and couple stress.
Shulei Sun, Wenguo Chen, A. M. Bastos Pereira   +2 more
wiley   +1 more source

Multiweights thermomechanics of hemitropic micropolar solids

Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния, 2023
Статья посвящена вопросам детерминирования алгебраических весов микрои наномасштабных мультивесовых характеристик термомеханики гемитропных микрополярных тел. Обсуждаются фундаментальные понятия псевдоинвариантых элементов объема и площади нечетных целых весов в трехмерном пространстве.
openaire   +1 more source

Formation of the female generative structures in Deutzia scarba (Hydrangeaceae)

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Bìologìâ, Ekologìâ, 2005
The development and the structure of the ovule and the embryo sac of the representative of the family Hydrangeaceae Deutzia scarba are investigated. It is established that the ovule of the given species is hemitropic, tenuinucellatic, unitegmic.
T. M. Satarova, N. F. Pavlyukova
doaj   +1 more source

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

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   +1 more source

PSEUDOTENSOR FORMULATION OF THE MECHANICS OF HEMITROPIC MICROPOLAR MEDIA

Problems of Strength and Plasticity, 2020
The possibility of applications of relative tensors concepts to the mechanics of micropolar continuum and, in particular, for the hemitropic micropolar continua is considered. The fundamental tensors and orienting relative scalars in three-dimensional space are introduced. Permutation symbols and absolute Levi-Civita tensors are investigated in further
Yu.N. Radayev, E.V. Murashkin
openaire   +2 more sources