Journal ArticleDOI
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
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Nontraditional Ordered Pairs of Thermodynamic Parameters: From the Pidstryhach Theory of Diffusion Elasticity to the Bedford–Drumheller Theory of Mixtures
TL;DR: In this article, the authors retrace the evolution in the construction of thermodynamic models of the mechanics of materials and choose the whole complex of thermodynamics ordered pairs as a basic parameter distinguishing various models.
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Algebraically constrained extended edge element method (eXFEM-AC) for resolution of multi-material cells
TL;DR: The main purpose of this paper is to develop such an alternative that avoids remeshing the problem and uses the existing edge element basis to dynamically construct an interface-conforming basis for triangular grids in two dimensions.
ReportDOI
Modeling reactive transport in deformable porous media using the theory of interacting continua.
TL;DR: In this article, an overview of the work done as part of an Early Career LDRD aimed at modeling flow induced damage of materials involving chemical reactions, deformation of the porous matrix, and complex flow phenomena is presented.
Posted Content
A framework for coupling flow and deformation of the porous solid
TL;DR: A mathematical model using the framework offered by the theory of interacting continua provides a mechanism for capturing multiphase flow, deformation, chemical reactions and thermal processes, as well as interactions between the various physics in a conveniently implemented fashion.
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.