A problem of dynamics of a thin inhomogeneous bar of the Kelvin-Foight material |
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Authors: | A A Egorova |
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Institution: | (1) Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia |
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Abstract: | A complete asymptotic expansion of a three-dimensional problem of the linear viscoelasticity determined in a domain being a thin inhomogeneous bar (the bar cross section diameter and the typical size of inhomogeneity are small parameters of the same order). Homogenized equations for oscillations of a bar are deduced. It is shown that those equations contain integral terms of convolution type. |
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