Clarifications and further implications of the concept of motion in mixture theories

Two model analyses are constructed in order to determine the influence of bonding materials on the dynamic behavior of otherwise bilaminated composites. The geometric arrangement of the composite with the bond is treated as a special type of a trilaminated composite in which each of its major constituents is sandwiched between two bonding layers. In the first model, the recently developed continuum mixture theories of wave propagation in bilaminated composites [2] are extended to treat the trilaminated composite. Here details of the propagation process in the major components and also in the bonding layers are derived. In the second model, the entire effect of the bonds is treated as a modifier to interfacial continuity conditions. In this model the details of the propagation process in the bonding material are ignored. It is found that the results of both models correlate well for relatively thin bonding layers.

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Aromatic fluorocarbon mixtures. VI. Vapour pressures of carbon tetrachloride + hexafluorobenzene

Australian Journal of Chemistry ◽

10.1071/ch9742159 ◽

1974 ◽

Vol 27 (10) ◽

pp. 2159 ◽

Cited By ~ 1

Author(s):

NF Pasco ◽

DV Fenby

Keyword(s):

Carbon Tetrachloride ◽

Thermodynamic Properties ◽

Equations Of State ◽

Liquid Mixture ◽

Excess Enthalpies ◽

Molar Excess ◽

Mixture Theories

Measurements are reported of the vapour pressures of the system carbon tetrachloride + hexafluorobenzene at 278.68 K. The molar excess Gibbs functions GE/M, obtained from these measurements have been combined with previously reported molar excess enthalpies to give GE/M at 298 K. Thermodynamic properties of CCl4+C6F6 at 298 K are compared with the predictions of liquid mixture theories based on analytic equations of state.

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Continuum Modeling of Low Frequency Heat Conduction in Laminated Composites with Bonds

Journal of Heat Transfer ◽

10.1115/1.3244280 ◽

1980 ◽

Vol 102 (2) ◽

pp. 312-318 ◽

Cited By ~ 11

Author(s):

Adnan H. Nayfeh

Keyword(s):

Heat Conduction ◽

Diffusion Process ◽

Exact Solutions ◽

Laminated Composites ◽

Low Frequency ◽

Heat Diffusion ◽

Continuum Modeling ◽

Bonding Material ◽

Mixture Theories

Two model analyses are constructed in order to determine the influence of bonding materials on the heat diffusion in otherwise bilaminated composites. The geometric arrangement of the composite with the bond is treated as a special type of trilaminated composite in which each of its major constituents is sandwiched between two bonding layers. In the first model, the recently developed continuum mixture theories of heat conduction in bilaminated composites [1] are extended to treat the trilaminated composite. Here details of the diffusion process in the major components and also in the bonding layers are derived. In the second model, the entire effect of the bonds is treated as a modifier to interfacial continuity conditions. In this model the details of the diffusion process in the bonding material are ignored. It is found that the results of both models correlate well with each others and also with some exact solutions especially for low frequency ranges.

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On continuum mixture theories for shear wave propagation in trilaminated wave guides

Journal of Sound and Vibration ◽

10.1016/0022-460x(77)90578-8 ◽

1977 ◽

Vol 55 (1) ◽

pp. 19-26 ◽

Cited By ~ 3

Author(s):

A.H. Nayfeh ◽

J.-I.J. Loh

Keyword(s):

Wave Propagation ◽

Shear Wave ◽

Wave Guides ◽

Mixture Theories

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Mixture Theories for Rock Properties

AGU Reference Shelf - Rock Physics & Phase Relations ◽

10.1029/rf003p0205 ◽

2013 ◽

pp. 205-228 ◽

Cited By ~ 142

Author(s):

James G. Berryman

Keyword(s):

Rock Properties ◽

Mixture Theories

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Mixing Formulae and Experimental Results for the Dielectric Constant of Snow

Journal of Glaciology ◽

10.3189/s0022143000006419 ◽

1985 ◽

Vol 31 (108) ◽

pp. 163-170 ◽

Cited By ~ 1

Author(s):

Ari Sihvola ◽

Ebbe Nyfors ◽

Martti Tiuri

Keyword(s):

Dielectric Constant ◽

Dielectric Properties ◽

Liquid Water ◽

Complex Permittivity ◽

Experimental Results ◽

Exponential Models ◽

Dielectric Mixture ◽

Excess Permittivity ◽

Wet Snow ◽

Mixture Theories

AbstractThis paper discusses dielectric properties of snow according to various dielectric models and compares them with experimental results. The complex permittivity of wet snow is assumed to consist of two parts, being the sum of the permittivity of dry snow (a mixture of ice and air) and the excess permittivity due to liquid water (resulting from the dielectric mixture of water and air). In particular the effect of liquid water is considered. Exponential models and structure-dependent models based on mixture theories by Taylor and Tinga and others are applied. It is shown that the assumption that water inclusions have the form of either randomly oriented discs or needles, or of spheres do, not get empirical confirmation but the inclusions are preferably prolate ellipsoids (ellipticity 0.16) or oblate ellipsoids (ellipticity 0.12), dry snow being a dielectric mixture of randomly oriented disc-shaped ice particles and air.

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Eulerian-Lagrangian Coupling in Finite Element Calculations With Applications to Machining

Emerging Technology in Fluids, Structures, and Fluid Structure Interactions: Volume 1, Fluid Dynamics and Fluid Structure Interactions ◽

10.1115/pvp2004-2860 ◽

2004 ◽

Author(s):

David J. Benson ◽

Shigenobu Okazawa

Keyword(s):

Finite Element ◽

Solid Mechanics ◽

Mixture Theory ◽

Element Formulation ◽

Contact Interface ◽

Machining Simulation ◽

Free Surfaces ◽

Relative Slip ◽

Eulerian Formulation ◽

Mixture Theories

Multi-material Eulerian finite element methods are attractive for problems in solid mechanics where new free surfaces are created, e.g., the formation of chips in machining. One weakness associated with the Eulerian finite element formulation, however, is the interaction of materials at the contact interface. The standard mixture theories effectively bond the materials together, and prohibit the relative slip between the materials that is crucial for an accurate machining simulation. In this paper, we compare the results of a machining calculation performed using an Eulerian formulation with a contact mixture theory and a coupled Eulerian-Lagrangian calculation, where the workpiece is Eulerian, and the tool is Lagrangian.

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