客观非张量流变学:相关微观运动的独特流动分解
Objective Nontensor Rheology: Unique Flow Decompositions from Correlated Microscopic Motions
摘要:
使用连续介质力学和不变量建立了足够的基础流变学偏最近一直有争议的作者。在这里,我们给出了一个具体的例子,这种包裹变形是唯一的方式分解成一个最大的旋转,纯剪切和扩展的微观运动。这些方程的构造只依赖于一个自由物质参数,但它们在矢量和张量演算的运算方面没有很好的形式,这可能是它们被忽视的原因。虽然一阶流动通常足以给出流变学信息,但由于边界效应,有限尺寸的包裹变形可能会引起混淆,其相关性高度依赖于实验的全局几何形状。
英文摘要:
The use of continuum mechanics and invariants built from the deviator as an adequate foundation for rheology has been recently disputed by this author. Here we give a specific example of the kind of parcel deformations that are uniquely decomposed by way of microscopic motions into a maximal rotation, a pure shear and an extension. The construction of these equations depends on only one free material parameter but they have no nice form in terms of the operations of vector and tensor calculus which may be why they were overlooked. Although the first order flow is often sufficient to give the rheological information, finite sized parcel deformations can give confusion because of boundary effects, the relevance of which are highly dependent on the global geometry of the experiment.
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