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Mechanics
The present paper is devoted to mathematical modeling of the impact of a solid body upon a plate, which dynamic behaviour is described by the Uflynd-Mindlin wave equations taking the rotary inertia and shear deformations into account, by means of buffers having physical nonlinearity. An elastic isotropic plate and an isotropic plate, for which takes place viscoelastic properties of the material are considered only for shear deformations, are investigated. Viscoelastic properties of the material under shear deformations are described by the representation of the shear modulus and, hence, Young’s modulus in terms of the operator, and the Hooke’s law takes on the integral form with an arbitrary kernel of relaxation, in so doing Poisson's ratio does not depend on viscoelastic properties of the material.
Note. Abstracts are published in author's edition
Last update: 06-Jul-2012 (11:52:45)