Continuum Theories of Mixtures: Applications
01 Apr 1976-Ima Journal of Applied Mathematics (Oxford University Press)-Vol. 17, Iss: 2, pp 153-207
About: This article is published in Ima Journal of Applied Mathematics.The article was published on 1976-04-01. It has received 261 citations till now. The article focuses on the topics: Continuum (measurement).
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TL;DR: In this article, a systematic procedure for averaging continuum equations over representative regions of multiphase systems is developed, where Mass and areal averages as well as volume averages are defined to ensure that the averaged quantities are physically meaningful.
639 citations
TL;DR: A survey of theories of immiscible mixtures can be found in this article, where it is emphasized that the immiscibility of such mixtures has important consequences concerning the forms of the constitutive equations, and that it can also result in the mixtures exhibiting microstructural effects.
566 citations
TL;DR: The variation of biophysical stimuli within the tissue can be plotted as 'mechano-regulatory pathway', which identifies the transition from motion-control to force-control as a branching event in the tissue differentiation sequence.
527 citations
Cites methods from "Continuum Theories of Mixtures: App..."
...Comparing with equation (6) and, given Darcy’s law (Atkin and Craine, 1976), an expression for rrS in a mixture can be deduced as + = K(vf - v’)....
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519 citations