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Title of Article

LOCALIZATION DYNAMICS OF STRESSES AND THE RESTRUCTURING OF AN INHOMOGENEOUS MATERIAL


Issue
4
Date
2011

Article type
scientific article
UDC
539.3
Pages
2513-2515
Keywords
 


Authors
Sterlin M.D.
Sankt-Peterburgskiy gosuniversitet


Abstract
The interrelated processes of binding an impurity by a lattice, phase-structural variations, impurity transfer in each phase and thermoelasticity are modeled for deforming bodies with inclusions and a secondary structure. In the earlier model an impurity binding for a homogeneous material the wave equations of movement are replaced by nonlinear Klein-Gordon equations, and the mass balance equations are replaced by non-stationary Ginzburg-Landau equations. A computing technique for multiple wave reflections from inclusions, methods for analyzing boundary problems and the analysis of results are given. The exact solutions in the form of expansions of eigenfunctions with continuous and discrete spectrums are derived for corresponding linear problems. The continuous spectrum analysis of the integrals they include has confirmed the dynamics of the numerical solutions. The effects of intensive growth and oscillation on inclusions of stresses, mobile impurity concentration and speeds of phase-structural transformations are revealed.

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