On two-scale homogenized equations of the Ishlinskii type viscoelastoplastic body longitudinal vibrations with rapidly oscillating nonsmooth data |
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Authors: | Andrey Amosov Ivan Goshev |
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Institution: | aDepartment of Mathematical Modelling, Moscow Power Engineering Institute (Technical University), Krasnokazarmennaja 14, 111250 Moscow, Russia |
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Abstract: | We study the initial-boundary value problems for a system of operator-differential equations describing Ishlinskii type viscoelastoplastic body longitudinal vibrations with rapidly oscillating nonsmooth coefficients and initial data. The main feature is an presence of hysteresis Prandtl–Ishlinskii operator. We rigorously justify the passage to the corresponding limit initial-boundary value problems for a system of two-scale homogenized operator-integro-differential equations, including the existence theorem for the limit problems. The results are global with respect to the time interval and the data. To cite this article: A. Amosov, I. Goshev, C. R. Mecanique 334 (2006). |
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Keywords: | Solids and structuresMots-clé s: Solides et structures |
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