Showing papers on "Mixture theory published in 1986"
TL;DR: In this article, a two-phase mixture theory is presented which describes the deflagration-to-detonation transition (DDT) in reactive granular materials, based on the continuum theory of mixtures formulated to include the compressibility of all phases and the compaction behavior of the granular material.
1,155 citations
TL;DR: In this article, an additional boundary condition for solid-fluid mixtures is proposed for the situation in which a mixture boundary is in a saturated state, derived from a thermodynamic characterization of the state and taking the form of a relationship between the total stress tensor, the stretch tensor and the volume fraction of the solid.
125 citations
TL;DR: In this paper, a binary mixture theory with microstructure is constructed for unidirectionally fiber-reinforced elastic composites, based on a asymptotic scheme with multiple scales and the application of Reissner's new mixed variational principle.
Abstract: : A binary mixture theory with microstructure is constructed for unidirectionally fiber-reinforced elastic composites. Model construction is based on a asymptotic scheme with multiple scales and the application of Reissner's new mixed variational principle (1984). In order to assess the accuracy of the model, comparison of the mixture model predictions with available experimental data on dispersion of harmonic waves is made for boron/epoxy and tungusten/aluminum composites. Formulas for the effective moduli are also presented, and the results are compared with the test data and other available predictions.
56 citations
TL;DR: In this article, a set of flow equations governing the simultaneous movement of aqueous and nonaqueous liquids in variably saturated soils is proposed, along with thermodynamically admissible constitutive laws and simplifying kinematic assumptions.
26 citations
TL;DR: In this paper, the Gurtin-Oliver-Williams paradox concerning the interpretation of partial stress is resolved, and relations between total and inner stress shown to be more complex than usually assumed.
Abstract: A general momentum balance for a mixture constituent is motivated from corpuscular considerations. The interpretations of stress and internal body force in the separate cases of ionic and non-ionic species are indicated. The Gurtin-Oliver-Williams paradox concerning the interpretation of partial stress is resolved, and relations between total and inner stress shown to be more complex than usually assumed. Comparison is made with kinetic theory.
10 citations
TL;DR: In this paper, a constitutive diffusion theory for polymer solutions is proposed based on a thermomechanical mixture theory and a general expression for the diffusion flux in a binary polymer-solvent system is presented.
Abstract: A constitutive diffusion theory for polymer solutions is proposed based on a thermomechanical mixture theory. A general expression for the diffusion flux in a binary polymer-solvent system is presented. It is shown that the current approach is capable of sorting out various complex diffusion phenomena. In particular, the dependence of the diffusion flux on a gradient of a generalized chemical potential emerges naturally by considering the limit of “weak equilibrium”.
5 citations
01 Jan 1986
TL;DR: In this paper, a general constitutive model based on concepts from viscoelasticity is developed for the propagation of acoustic waves in cohesive sediments and a mixture model is applied to the problem of plane shear.
Abstract: The purpose here is to assess the potential application of mixture and nonlocal continuum models to cohesive sediments. Mixture models are discussed first. A review of this theory shows that this approach requires continuity and equations of motion for each constituent. A general constitutive model based on concepts from viscoelasticity is developed. The problem of the propagation of acoustic waves is examined as a special case of the model. For a two-constituent medium two dispersive acoustical modes are found; however, one is strongly attenuated. A mixture model is also applied to the problem of plane shear. The analysis shows solid displacement and fluid velocity profiles which can differ remarkably from the classic linear solutions. Next non-local models are investigated. This approach results in stress strain relations which are integrodifferential equations. Acoustical propagation for three different integral kernels is studied. All three models exhibit dispersion at low frequencies; however, there seems to be little practical difference between the solutions associated with the different kernels. The plane shear problem is also investigated. The analysis reveals displacement profiles which differ from the classic solution. The paper is concluded with a brief summary of results and some suggestions for more realistic applications.
2 citations