Modelling of laminated growing biological materials
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Дата
2005
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Анотація
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.
Опис
Ключові слова
continuous media, laminated composites, growing biological materials
Бібліографічний опис
Journal of Mechanical Engineering. N5(56)