Macro- Meso- and Micro-scopic Metallo-Thermo-Mechanics - Application to Phase Transformation Incorporating Process Simulation

• Autorzy: Inoue T.

Warianty tytułu

PL

Makro- mezo- i mikroskopowe sposoby oceny przemian fazowych w metalach uwzględniające proces symulacji komputerowej

• Języki publikacji: EN

Abstrakty

EN

Three kinds of approach from macro- meso- and micro-scopic viewpoints are summarized in this paper, relevant to simulating the phase transformation incorporating processes. Since the fields of material structure, temperature and stress/strain induced in a body in such process are coupled each other, the ordinal way to solve independent (or, uncoupled) governing equations for transformation kinetics, heat conduction and stress analysis is insufficient, but thermodynamics-based consideration is needed to obtain the coupled equations among three fields. A transformation parameter indicating progressive phase change is introduced as one of internal parameters representing volume fraction of each phase or phase field parameter, and governing three kinds of equation for the parameter, Fourier law and stress-strain constitutive equation are derived. Thus obtained equations are applied to formulate the macroscopic finite element scheme and also the phase field method in meso-scopic sense in the framework of continuum thermodynamics. The molecular dynamics approach is also carried out to evaluate microscopic, or physical aspect of the fields. Some examples of the computer simulated processes with phase transformation are illustrated based on such three kinds of approach.

PL

W artykule przedstawiono trzy sposoby oceny przemian fazowych w metalach, tzn. w skali: makro-mezo i mikroskopowej, uwzględniając przy tym proces symulacji komputerowej. Ponieważ w strukturze materiału zaznacza się wpływ temperatury, nacisków oraz naprężeń własnych i to w całej jego objętości, a procesy te są wzajemnie powiązane, toteż stosowany zazwycząj sposób rozwiązania analitycznego z użyciem niezależnych wzorów dotyczących kinetyki przemian, przewodnictwa cieplnego czy rozkładu naprężeń własnych, okazał się niewystarczający. W tej sytuacji niezbędnym się stały rozważania bazujące na termodynamice i pozwalające na uzyskanie zależności łączących przemiany fazowe zachodzące w trzech rozważanych obszarach, tj. skali: makro-mezo- i mikroskopowej. W tym celu sformułowano m. in. parametr wewnętrzny przemian charakteryzu jący zmiany fazowe, a reprezentujący objętościowe części poszczególnych faz i związany z trzema rodzajami równań wyprowadzonych dla rozważanych obszarów. Równania te wyprowadzono korzystając z prawa Fouriera oraz równań konstytutywnych dla nacisków i naprężeń własnych. Wyprowadzone równania zastosowano do utworzenia schematu przemian w skali makroskopowej - metodą elementów skończonych oraz schematu przemian w skali mezoskopowej metodą pól fazowych w ramach continuum termodynamicznego. Molekularno-dynamiczne podejście zostało przyjęte dla wykonania obliczeń w skali mikroskopowej. W artykule podano również przykłady symulacji komputerowej procesów z przemianami fazowymi, bazując na trzech przjętych sposobach podejścia, tj. dla skali: makro-mezo- i mikroskopowej.

Słowa kluczowe

PL

przemiany fazowe w metalach; symulacja komputerowa

• Wydawca: Sieć Badawcza Łukasiewicz – Instytut Mechaniki Precyzyjnej
• Czasopismo: Inżynieria Powierzchni
• Rocznik: 2005
• Tom: Nr 1
• Strony: 23--35
• Opis fizyczny: Bibliogr. 72 poz., rys.

Twórcy

autor

Inoue T.

• Fukuyama University, Hiroshima, Japan

Bibliografia

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