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Please use this identifier to cite or link to this item: http://dspace.univer.kharkov.ua/handle/123456789/3492

Название: Modelling of laminated growing biological materials
Авторы: Kizilova, N.
Egorova E.S.
Ключевые слова: continuous media
laminated composites
growing biological materials
Issue Date: 2005
Библиографическое описание: Journal of Mechanical Engineering. N5(56)
Краткий осмотр (реферат): The continued model of the multilayered plate from a growing biological material is presented. Introducing the Airy's stress function the problem is reduced to differential equation of the fourth order. Solution of the problem is obtained for the two- layered plate with a rectangle cross-section. For some relations between the rheological coefficients of the model the governing equations are simplified and the corresponding theoretical estimations are obtained. Numerical calculations of the stress and velocity fields for the model parameters that correspond to the growing plant leaves are presented. Any difference in own growth rates of the adjacent layers leads to stretching of the tempered layer and compressing of the rapidly growing one that results in growth acceleration of the former and growth retardation of the latter. Thus the mechanical stress field can regulate coordinated growth of the laminated biological materials.
URI: http://dspace.univer.kharkov.ua/handle/123456789/3492
Appears in Collections:Наукові роботи. Факультет математики і інформатики

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