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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 modelling of momentum and energy transfer in incompressible mixtures
TL;DR: In this paper, the basic principles that govern the evolution of a continuous mixture are postulated and used to develop a systematic procedure to obtain thermodynamically admissible objective constitutive equations.
Journal ArticleDOI
Some uniqueness and continuous dependence results in the theory of swelling porous elastic soils
TL;DR: In this paper, the Lagrange identity and the logarithmic convexity methods are used to describe the continuous dependence of solutions with respect to the external given data and the uniqueness results are established under mild positive semi-definiteness assumptions or with no definiteness assumptions upon the internal energy.
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Decay of solutions for a mixture of thermoelastic one dimensional solids
TL;DR: It is proved that the solutions decay polynomially and the optimal polynomial decay rate is found and the necessary and sufficient conditions to guarantee the exponential decay of solutions are found.
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A phase field model for the freezing saturated porous medium
TL;DR: In this article, a phase field model is developed for the saturated porous medium undergoing phase transition, and the constitutive representations for the stresses, entropies, heat fluxes, drag force and the evolution equations for the order parameter and porosity are derived by exploitation of the entropy inequality.
Journal ArticleDOI
Analyticity of Semigroups Associated with Thermoviscoelastic Mixtures of Solids
TL;DR: In this paper, the authors investigated the asymptotic behavior of solutions to the initial boundary value problem for a one-dimensional theory of mixtures of thermoviscoelastic solids.
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.