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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009 Issue 4(70), Pages 101–113 (Mi vsgu243)

This article is cited in 1 paper

Mechanics

The influence of microstructure of elastic material deformation

N. D. Verveiko, S. A. Shashkina

Dept. of Applied Mathematic and Mechanics, Voronezh State University, Voronezh, 394006, Russia

Abstract: The paper considers the deformation of elastic material with microstructure. The authors show, that the isolated waves of a deformation fracture or displacement fracture in this material are non-existent, because the solution for a breaking function, set in the mobile surface, is defined by the behavior of the first, second and third gradients for this function. This fact corresponds to the dispersion of elastic waves, or to the different velocity of extension of elastic waves with the different amplitude, depending on their frequencies. As an example of the evaluation of the influence of microstructure on the deflected mode of the material, the displacement of curvilinear strip of small curvature is viewed. It is shown that the displacement and shift in the strip have a linear character in the main part with the superposition of harmonics of low amplutude.

Keywords: elastic material, deformation, microstructure.

UDC: 539

Received: 29.01.2009
Revised: 29.01.2009



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