Results 11 to 20 of about 262 (78)
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.
Евгений Валерьевич Мурашкин +1 more
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Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Natroshvili +2 more
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Transmission problems in the theory of elastic hemitropic materials
Applicable Analysis, 2007 The purpose of this article is to investigate mixed transmission-boundary value problems for the differential equations of the theory of hemitropic (chiral) elastic materials. We consider the differential equations corresponding to the time harmonic dependent case, the so called pseudo-oscillation equations. Applying the potential method and the theory
David Natroshvili, Ioannis G Stratis
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Reducing natural forms of hemitropic energy potentials to conventional ones
Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния, 2023 В работе рассматривается проблема приведения естественных энергетических форм потенциалов напряжений (силовых и моментных) к конвенциональному виду. Приводятся несколько энергетических форм для гемитропной упругой среды в терминах асимметричных тензоров ...
Мурашкин, Евгений Валерьевич +1 more
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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.
Yuriy N Radayev, E. Murashkin
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Bifurcation of hemitropic elastic rods under axial thrust [PDF]
Quarterly of Applied Mathematics, 2013 Summary: In this work we consider the analysis of unshearable, hemitropic hyperelastic rods under end thrust alone. Roughly speaking, a nominally straight hemitropic rod is rotationally invariant about its centerline but lacks the reflection symmetries characterizing isotropic rods.
T. Healey, C. Papadopoulos
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Plane harmonic waves in a hemitropic micropolar body
Вестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состоянияВ настоящей работе рассматривается процесс распространения плоских монохроматических связанных волн перемещений и микровращений в линейном полуизотропном микрополярном теле.
Тимофей Константинович Нестеров
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Representation formulae of general solutions in the theory of hemitropic elasticity [PDF]
The Quarterly Journal of Mechanics and Applied Mathematics, 2006 We consider the steady state oscillation equations of the theory of elasticity of hemitropic materials. We derive general representation formulae for the displacement and microrotation vectors by means of six scalar metaharmonic functions. These formulae are very convenient and useful in many particular problems for domains with concrete geometry. Here
D. Natroshvili +2 more
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Rendiconti Lincei, Matematica e Applicazioni, 2012 The frictionless contact problems for two interacting hemitropic solids with different elastic properties is investigated under the condition of natural impenetrability of one medium into the other. We consider two cases, the so-called coercive case (when elastic media are fixed along some parts of their boundaries), and the semicoercive case (the ...
A. Gachechiladze +2 more
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Functional bases for transversely isotropic and transversely hemitropic invariants of elasticity tensors [PDF]
The Quarterly Journal of Mechanics and Applied Mathematics, 1998 Summary: We obtain a set \({\mathcal I}\) of 20 invariants for the action of O(2) on the space of elasticity tensors. It is shown that \({\mathcal I}\), together with seven additional invariants linked by seven relations, yields a functional basis for the action of SO(2), while a different set of 21 elements with 21 relations is added to \({\mathcal I}\
S. Forte, M. Vianello
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