Модель термопружного твердого розчину з урахуванням необоротності та інерції локального зміщення маси

In the framework of continuum-phenomenological approach the complete set of equations ofgradient-type mathematical model of thermo-elastic chemically-inert n-component solid solutionis obtained. This model takes into account the coupled processes of deformation, thermalconduction and local mass disp...

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Bibliographic Details
Date:2018
Main Author: Грицина, Ольга
Format: Article
Language:Ukrainian
Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2018
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Online Access:https://www.fmmit.lviv.ua/index.php/fmmit/article/view/56
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Journal Title:Physico-mathematical modeling and informational technologies

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Physico-mathematical modeling and informational technologies
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Summary:In the framework of continuum-phenomenological approach the complete set of equations ofgradient-type mathematical model of thermo-elastic chemically-inert n-component solid solutionis obtained. This model takes into account the coupled processes of deformation, thermalconduction and local mass displacement. It is shown that the rheological constitutive equationsare the consequences of an accounting for the irreversibility and inertia of the process of localmass displacement. This model allows one to study the dynamics of formation of near-surfaceinhomogeneity of physical and mathematical fields in solid solutions. It is effective also forinvestigation of coupled processes in solids under high-gradient loading (high-frequency waves,concentrated forces etc.).