Results 1 to 10 of about 262 (78)
Coupled Thermoelasticity of Hemitropic Media. Pseudotensor Formulation
Mechanics of Solids, 2023 The present paper deals with the problem of deriving the constitutive equations for the micropolar thermoelastic continuum GN-I in terms of the standard pseudotensor formalism. In most cases, the pseudotensor approach is justified in modeling hemitropic micropolar solids, the thermomechanical properties of which are sensitive to mirror reflections of ...
E. Murashkin, Y. N. Radaev
exaly +6 more sources
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 +1 more
doaj +5 more sources
Two-dimensional Nye figures for hemitropic micropolar elastic solids [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe 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 +1 more
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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 +1 more
doaj +4 more sources
Tensors with Constant Components in the Constitutive Equations of a Hemitropic Micropolar Solids
Mechanics of Solids, 2023 The present paper is devoted to elastic potentials and the constitutive equations of mechanics of anisotropic micropolar solids, the kinematics of which can be specified by two independent vector fields: a contravariant field of translational displacements and a contravariant pseudovector field of microrotations of weight +1.
Y. Radayev
exaly +5 more sources
Contact problems with friction for hemitropic solids: boundary variational inequality approach [PDF]
Applicable Analysis, 2011 We study the interior and exterior contact problems for hemitropic elastic solids. We treat the cases when the friction effects, described by Tresca friction (given friction model), are taken into consideration either on some part of the boundary of the ...
A. Gachechiladze +3 more
exaly +7 more sources
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
Евгений Валерьевич Мурашкин +1 more
semanticscholar +3 more sources
Pseudovector hyperbolic differential operators of hemitropic micropolar elasticity
Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния, 2021 В статье обсуждаются вопросы, связанные с выводом и преобразованиями дифференциальных операторов, соответствующих модели гемитропного микрополярного континуума, при изменении ориентации базисного репера.
Евгений Валерьевич Мурашкин +1 more
semanticscholar +3 more sources
Plane thermoelastic harmonic waves in hemitropic micropolar media [PDF]
Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния, 2020 В работе рассматривается решение задачи о распространении плоской термоупругой гармонической волны в гемитропной микрополярной среде. Приводятся два варианта динамических уравнений гемитропного микрополярного континуума.
Евгений Валерьевич Мурашкин +1 more
semanticscholar +3 more sources
A polynomially irreducible functional basis of hemitropic invariants of piezoelectric tensors [PDF]
Communications in Optimization Theory, 2019 For piezoelectric tensors, Olive (2014) proposed a minimal integrity basis of 495 hemitropic invariants, which is also a functional basis. In this article, we construct a new functional basis of hemitropic invariants of piezoelectric tensors, using the approach of Smith and Zheng.
Chen, Yannan +3 more
semanticscholar +7 more sources