Results 21 to 30 of about 93 (69)

Bifurcation of hemitropic elastic rods under axial thrust [PDF]

open access: yesQuarterly of Applied Mathematics, 2013
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
openaire   +1 more source

Flower Visits of Insects II

open access: yes, 1924
Psyche: A Journal of Entomology, Volume 31, Issue 2, Page 93-111, 1924.
Charles Robertson
wiley   +1 more source

Representation formulae of general solutions in the theory of hemitropic elasticity [PDF]

open access: yesThe 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
Natroshvili, D.   +2 more
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Pseudovector hyperbolic differential operators of hemitropic micropolar elasticity

open access: yesВестник 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. Приводятся необходимые сведения из алгебры псевдотензоров.
openaire   +1 more source

Functional bases for transversely isotropic and transversely hemitropic invariants of elasticity tensors [PDF]

open access: yesThe 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}\
FORTE, SANDRA   +1 more
openaire   +3 more sources

Reducing natural forms of hemitropic energy potentials to conventional ones

open access: yesВестник 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 напряжений и деформаций.
openaire   +1 more source

LXV. On the deformation of the “rings and brushes” as observed through a spath hemitrope [PDF]

open access: yesThe London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1922
(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.
openaire   +2 more sources

A polynomially irreducible functional basis of hemitropic invariants of piezoelectric tensors

open access: yesCommunications in Optimization Theory
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
openaire   +3 more sources

Plane harmonic waves in a hemitropic micropolar body

open access: yesВестник Чувашского государственного педагогического университета им. И.Я. Яковлева. Серия: Механика предельного состояния
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.
openaire   +1 more source

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