On the elastic-plastic behaviour of a reinforced layer

Nemirovsky, Yu. V.

doi:10.1016/0020-7403(70)90026-3

Cited by 5 publications

(3 citation statements)

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“…Let the reinforcement be performed by m classes of the fibers 1,2,3) = (m , m ϕare the reinforcement angles, m εis the deformation in the fiber, m σis the stress in the fiber, m ω --is the power of reinforcement by the m -th class of fibers. We determine the deformations in the fiber in the polar system using structural model [13] . = sin cos sin cos…”

Section: Statement Of the Axisymmetric Problem Of Reinforced Mediamentioning

confidence: 99%

Determination of Fiber-Structure for the Effective Reinforcement of Planar Composite-Material Constructions

Feodorova

2019

MSF

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To describe the behaviour of a composite material reinforced by fibers along curvilinear trajectories, a resolving system of differential equations has been obtained. I developed a structural model within the framework of the two-dimensional non-uniform linear elasticity problem. The reinforcement is performed on the basis of three approaches: according to the grid lines of the orthogonal coordinate system determined by the given conformal representation; according to trajectories isogonal to the given curves; according to the helical trajectories in the axisymmetric formulation of the problem. Particular solutions of the corresponding boundary problems have been obtained. Recommendations for the effective reinforcement of planar constructions have been presented.

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Section: Statement Of the Axisymmetric Problem Of Reinforced Mediamentioning

confidence: 99%

Determination of Fiber-Structure for the Effective Reinforcement of Planar Composite-Material Constructions

Feodorova

2019

MSF

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“…В данной работе развит иной подход. На основе структурной модели [3] разработана методика создания плоских конструкций путем армирования семействами непрерывных криволинейных волокон.…”

Section: Introductionunclassified

Modeling limit states for curvilinearly reinforced rotated disks

Nemirovsky¹,

Feodorova²

2019

MathMon

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This paper describes a new approach to development of planar for aircraft design reinforced by curvilinear fibers sets. The structural model of composite is used, based on the planar non-homogeneous thermoelasticity theory for curvilinear coordinates. The resolving system of differential equations is obtained. The boundary conditions are defined for curvilinear coordinates. The resolving system of differential equations with radial and circular movement variables is obtained for an axisymmetric problem. This system is a second-order differential equations system, highest derivatives of which are not isolated. An effective numerical method which takes into account the factors of the resolving system for a reinforced material is designed. Different mixed configurations of two sets of curvilinear trajectories are considered for the direct problem when a planar construction is under the conditions of axisymmetric strain. We use an example of the logarithmic spiral trajectories set and the "wheel spokes" trajectories set. Effective reinforcement structures and reasonable reinforcement structures are studied. The reinforcement power subject to additional conditions of fibers cross-sections constancy is considered. It corresponds to industrial conditions. Our original contribution is a new integral characteristic of the effeciency of armature arrangement. It is called "efficient armature arrangement". We studied its properties for different initial stages of an industrial workflow and for different curvilinear trajectories of reinforcement by two curilinear. We solved the axisym fibers sets. metric problem of rotating hydra and gas turbines disk extremal deformations through curvilinear trajectories reinforcing technique. We demonstrated that

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“…Пусть армирование выполнено m семействами волокон (m = 1, 2, 3), ϕ m углы армирования, ε m деформация в волокне, σ m напряжение в волокне, ω m интенсивность армирования m-тым семейством волокон. Деформации в волокне в полярной системе определим по структурной модели [1] ε ρ cos 2 ϕ m + ε θ sin 2 ϕ m + ε ρθ cos ϕ m sin ϕ m = ε m .…”

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Исследование Рациональных Структур Криволинейного Армирования В Полярной Системе Координат

Немировский¹,

Nemirovskii²,

Федорова³

et al. 2013

J. Samara State Tech. Univ., Ser. Phys. & Math. Sci.

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На основе структурной модели решена задача рационального армирования криволинейными волокнами осесимметричной кольцевой пластины в полярной системе координат. Изучено влияние структурных параметров на предельное нагружение конструкции.

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On the elastic-plastic behaviour of a reinforced layer

Cited by 5 publications

References 0 publications

Determination of Fiber-Structure for the Effective Reinforcement of Planar Composite-Material Constructions

Determination of Fiber-Structure for the Effective Reinforcement of Planar Composite-Material Constructions

Modeling limit states for curvilinearly reinforced rotated disks

Исследование Рациональных Структур Криволинейного Армирования В Полярной Системе Координат

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