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Theories of immiscible and structured mixtures
A. Bedford,D.S. Drumheller +1 more
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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.About:
This article is published in International Journal of Engineering Science.The article was published on 1983-01-01. It has received 566 citations till now.read more
Citations
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On the uniqueness and analyticity in viscoelasticity with double porosity
TL;DR: A system of equations that models the behaviour of materials with a double porous structure and introduces dissipation mechanisms in both structures shows existence, uniqueness and analyticity for the solutions of the system.
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Blow-up result and energy decay rates for binary mixtures of solids with nonlinear damping and source terms
TL;DR: In this paper, the authors study the long-time behavior of binary mixture problems of solids, focusing on the interplay between nonlinear damping and source terms, and obtain several results on the existence of local and global weak solutions, and uniqueness of weak solutions.
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Homogeneous equilibrium model for geomechanical multi-material flow with compressible constituents
TL;DR: In this article, a theoretical framework is presented which introduces a possible two-phase coupled saturated granular material behavior among the different materials, and a homogeneous equilibrium mixture model is subsequently derived for an example flow consisting of bulk solid, bulk fluid, and undrained granular materials with compressible constituents.
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Travelling waves near a critical point of a binary fluid mixture
TL;DR: In this article, the free energy of binary fluid mixtures is considered in a non-local form taking account of the density gradients, and the equations of motions are applied to a universal form of free energy near critical conditions and can be integrated by rescaling process where the binary mixture is similar to a single fluid.
References
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Book
A Treatise on Electricity and Magnetism
TL;DR: The most influential nineteenth-century scientist for twentieth-century physics, James Clerk Maxwell (1831-1879) demonstrated that electricity, magnetism and light are all manifestations of the same phenomenon: the electromagnetic field as discussed by the authors.
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General Theory of Three‐Dimensional Consolidation
TL;DR: In this article, the number of physical constants necessary to determine the properties of the soil is derived along with the general equations for the prediction of settlements and stresses in three-dimensional problems.
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Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range
TL;DR: In this article, a theory for the propagation of stress waves in a porous elastic solid containing compressible viscous fluid is developed for the lower frequency range where the assumption of Poiseuille flow is valid.
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Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range
TL;DR: In this paper, the theory of propagation of stress waves in a porous elastic solid developed in Part I for the low-frequency range is extended to higher frequencies, and the breakdown of Poiseuille flow beyond the critical frequency is discussed for pores of flat and circular shapes.