Bifurcation of hemitropic elastic rods under axial thrust [PDF]
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. Consequently a constitutive coupling between extension and twist is natural. We
Healey, Timothy J. +1 more
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Psyche: A Journal of Entomology, Volume 31, Issue 2, Page 93-111, 1924.
Charles Robertson
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Representation formulae of general solutions in the theory of hemitropic elasticity [PDF]
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
Natroshvili, D. +2 more
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Pseudovector hyperbolic differential operators of hemitropic micropolar elasticity
В статье обсуждаются вопросы, связанные с выводом и преобразованиями дифференциальных операторов, соответствующих модели гемитропного микрополярного континуума, при изменении ориентации базисного репера. Приводятся необходимые сведения из алгебры псевдотензоров.
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Functional bases for transversely isotropic and transversely hemitropic invariants of elasticity tensors [PDF]
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}\
FORTE, SANDRA +1 more
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Reducing natural forms of hemitropic energy potentials to conventional ones
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 напряжений и деформаций.
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LXV. On the deformation of the “rings and brushes” as observed through a spath hemitrope [PDF]
(1922). LXV. On the deformation of the “rings and brushes” as observed through a spath hemitrope. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science: Vol. 43, No. 255, pp. 560-567.
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A polynomially irreducible functional basis of hemitropic invariants of piezoelectric tensors
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
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Comparative transcriptome analysis of juniper branches infected by Gymnosporangium spp. highlights their different infection strategies associated with cytokinins. [PDF]
Shao C, Tao S, Liang Y.
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Plane harmonic waves in a hemitropic micropolar body
В настоящей работе рассматривается процесс распространения плоских монохроматических связанных волн перемещений и микровращений в линейном полуизотропном микрополярном теле. Получено уравнение для определения волнового числа продольной и поперечной плоской монохроматической волны.
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