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The News of Altai State University
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Management, Computer Facilities and Computer Science
Mathematics and Mechanics
Mathematics and Mechanics

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G.L. Gorynin, Ju.V. Nemirovsky

Mathematical Modeling of Elastic Macro-characteristics for the 1-Periodic Media

The method of the averaging allows receiving macro-characteristics for the elastic 1-periodic medium without introduction of any hypothesis. Macro-characteristics are calculated as integrals of the cellular functions which are found by solving family of recurrent problems on a periodic cell. The authors received asymptotic formulas which make possible to restore value of micro-displacements and stresses at each point of a 1-periodic medium on macro-sizes.
Key word: method of averaging, macro-characteristic of the elastic medium, periodic cell, periodic medium, stress, displacement.

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