Дәрiс 4. Реологиялық денелердің классификациясы және олардың құрылымдық-механикалық қасиеттері.
Дәріс жоспары:
1. Қарапайым реологиялық денелердің механикалық моделдері.
2. Механикалық модельдер негiзiндегi нақты денелердiң классификациясы.
3. Құрылымдық–механикалық қасиеттердiң негiзгi топтары.
1. Қарапайым реологиялық денелердің келесі механикалық моделдері белгілі: Ньютон моделі, Гук моделі, Сен-Венан моделі, Рэнкин моделi және Пелег моделі.
Ньютон моделі демпфер (сурет 4.1, а), немесе тұтқыр сұйықтың моделі болып табылады. Бұған сәйкес математикалық модель қарапайым ығысудағы реологиялық тұрақты – тұтқырлық үшін ньютондық дене күйінің реологиялық теңдеуі болып табылады. Бұған сәйкес математикалық модель ньютондық дененiң қарапайым ығысқан кезiндегi күйiнiң реологиялық теңдеуi болып табылады, реологиялық тұрақты — тұтқырлық .
Гук моделi болып серiппе (сурет 4.1, б) немесе серпiмдi қатты дене моделi болып табылады. Бұған сәйкес математикалық модель гуктық қатты дененiң қарапайым ығысқан кезiндегi ![](data:image/png;base64,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)
Достарыңызбен бөлісу: |