Geodesic
The influence of microstructure of elastic material deformation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 101-113

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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
Mots-clés : microstructure. 
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     author = {N. D. Verveiko and S. A. Shashkina},
     title = {The influence of microstructure of elastic material deformation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {101--113},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_4_a6/}
}
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N. D. Verveiko; S. A. Shashkina. The influence of microstructure of elastic material deformation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 101-113. http://geodesic.mathdoc.fr/item/VSGU_2009_4_a6/