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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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Comparison of Upscaling Methods in Poroelasticity and Its Generalizations
TL;DR: In this article, four methods of upscaling coupled equations at the microscale to equations valid at the mesoscale and/or macroscale for fluid-saturated and partially saturated porous media are discussed, compared, and contrasted.
Journal ArticleDOI
A mixture theory for heat-induced alterations in hydration and mechanical properties in soft tissues
TL;DR: In this article, the authors propose a framework to describe the mechanical behavior of thermally damaged biological soft tissues based on a melding of ideas from classical continuum thermodynamics and irreversible thermodynamics.
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Study of blood flow in several benchmark micro-channels using a two-fluid approach.
TL;DR: A computational fluid dynamic simulation incorporating the constitutive model was implemented using OpenFOAM® in which benchmark problems including a sudden expansion and various driven slots and crevices were studied numerically, and the numerical results exhibited good agreement with the experimental observations.
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On the direct interactions between heat transfer, mass transport and chemical processes within gradient elasticity
TL;DR: In this article, the authors developed a complete set of constitutive equations which account for most of the possible aforementioned direct couplings and the associated relevant size effects in a unified phenomenological way.
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On a theory of interacting continua with memory
Dorin Ieşan,Ramón Quintanilla +1 more
TL;DR: In this paper, a linear theory for thermoviscoelastic composites modeled as interpenetrating solid continua with memory is developed, and the response functionals are considered to depend on the past history of displacement fields, displacement gradients, temperature field, and temperature gradient.
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.