| Autor: |
A. V. Siasiev, M. V. Kostashchuk |
| Rok vydání: |
2015 |
| Předmět: |
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| Zdroj: |
Вісник Дніпропетровського університету. Серія: Моделювання. 23:9 |
| ISSN: |
2312-4547 |
| Popis: |
The problem of defining the law of motion of crystallization front and the thermo-mechanical state of the two-phase rod in case of mutual influence of thermal and mechanical fields is solved. To meet the challenge the approximate analytical method is used, in the aggregate of the method of the sequential intervals and variational principle of Gibbs (which should indicate that it is ”profitable” for nature under specified external effects to change the temperature of a fixed element of the body or to transfer the element from one aggregate state to another). Correlations to determine the law of motion of the boundary of phases of the temperature field and stress-deformed state in the rod are gained. The results are presented in the form of charts of dependency based on temperature and stress of time and coordinates. The analysis of the gained results indicates that a change of the conditions of heat exchange with the environment and geometrical sizes have determinative influence on the solidification process and therefore on thermal and mechanical fields. The main result is the following: an approximate analytical method and algorithm to solve the problem of thermo-viscosity for growing bodies in the presence of phase transfer, taking into account the heat exchange with the environment is developed; the law of motion of the boundary of phases division, the temperature field and stress-deformed state are determined by the decisions of the so-called associated problem of thermo-viscosity on the basis of the developed method; approximate analytical solutions that allow to simulate different technological processes are obtained. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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