现有流变学本构方程大多是基于唯象模型或者通过对线性定律进行修正而导出的,物理意义不够清晰。本文借鉴热质理论,提出连续介质微元的动能同样具有当量质量,可以用能质控制方程导出普适动能输运定律。普适动能输运定律在不同问题背景下,可以导出牛顿黏性定律,胡克定律以及流变学中较为基础的线性黏弹性本构方程。能质理论推导流变学本构方程的过程是基于第一性原理,不仅物理意义清晰,而上揭示了热输运与动能输运之间的内在统一规律。
The present constitutive equations of rheology are mostly based on phenomenological models or modification of linear laws,with ambiguous physical meaning.From the idea of therniomass theory,the general transport law of momentum can be derived by defining the equivalent mass of kinetomass,i.e.the kinetomass.The general law reduces to the Newton＇s viscous law,the Hook＇s law or basic linear viscoelastic constitution equations respectively by different simplification.This process follows the first principle,inhabits the clear physical concept,and reveals the unity between heat and momentum transport processes.
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