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1.
A three-scale theory of swelling clay soils is developed which incorporates physico-chemical effects and delayed adsorbed water flow during secondary consolidation. Following earlier work, at the microscale the clay platelets and adsorbed water (water between the platelets) are considered as distinct nonoverlaying continua. At the intermediate (meso) scale the clay platelets and the adsorbed water are homogenized in the spirit of hybrid mixture theory, so that, at the mesoscale they may be thought of as two overlaying continua, each having a well defined mass density. Within this framework the swelling pressure is defined thermodynamically and it is shown to govern the effect of physico-chemical forces in a modified Terzaghi's effective stress principle. A homogenization procedure is used to upscale the mesoscale mixture of clay particles and bulk water (water next to the swelling mesoscale particles) to the macroscale. The resultant model is of dual porosity type where the clay particles act as sources/sinks of water to the macroscale bulk phase flow. The dual porosity model can be reduced to a single porosity model with long term memory by using Green's functions. The resultant theory provides a rational basis for some viscoelastic models of secondary consolidation. 相似文献
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A three-spatial scale, single time-scale model for both moisture and heat transport is developed for an unsaturated swelling porous media from first principles within a mixture theoretic framework. On the smallest (micro) scale, the system consists of macromolecules (clay particles, polymers, etc.) and a solvating liquid (vicinal fluid), each of which are viewed as individual phases or nonoverlapping continua occupying distinct regions of space and satisfying the classical field equations. These equations are homogenized forming overlaying continua on the intermediate (meso) scale via hybrid mixture theory (HMT). On the mesoscale the homogenized swelling particles consisting of the homogenized vicinal fluid and colloid are then mixed with two bulk phase fluids: the bulk solvent and its vapor. At this scale, there exists three nonoverlapping continua occupying distinct regions of space. On the largest (macro) scale the saturated homogenized particles, bulk liquid and vapor solvent, are again homogenized forming four overlaying continua: doubly homogenized vicinal fluid, doubly homogenized macromolecules, and singly homogenized bulk liquid and vapor phases. Two constitutive theories are developed, one at the mesoscale and the other at the macroscale. Both are developed via the Coleman and Noll method of exploiting the entropy inequality coupled with linearization about equilibrium. The macroscale constitutive theory does not rely upon the mesoscale theory as is common in other upscaling methods. The energy equation on either the mesoscale or macroscale generalizes de Vries classical theory of heat and moisture transport. The momentum balance allows for flow of fluid via volume fraction gradients, pressure gradients, external force fields, and temperature gradients. 相似文献
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This paper concerns with the coupled linear dynamical theory of elasticity for solids with double porosity. Basic properties of plane harmonic waves are established. Radiation conditions of regular vectors are given. Basic internal and external boundary value problems (BVPs) of steady vibrations are formulated, and finally, uniqueness theorems for regular (classical) solutions of these BVPs are proved. 相似文献
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The specific case of interfaces separating a single-phase fluid and a two-phase continuum appears in the theory of compositional
flow through porous media. They are usually called the interfaces of phase transition (PT-interfaces) or the interfaces of phase disappearing (PD-interfaces). The principle of equivalence is proved which shows that a single-phase multi-component fluid may be replaced
by an equivalent fictitious two-phase fluid having specific properties. The equivalent properties are such that the extended
saturation of a fictitious phase is negative. This principle enables us to develop the uniform system of two-phase equations
in the overall domain in terms of the extended saturation (the NegSat model), and to apply the direct numerical simulation.
In the case with diffusion, the uniform NegSat model contains a new term proportional to the gradient of saturation in the
relation for flow velocity. The canonical NegSat model represents a transport equation with discontinuous nonlinearities.
The qualitative analysis of this model shows that the PT-interfaces represent the shocks of the extended saturation, or, in
some cases, can transform into weak shocks. The diffusion and capillarity do not destroy necessarily the shocks, but change
their velocity. The analytical technique is developed which allows capturing PT-shocks. The method is illustrated by several
examples of miscible gas injection in oil reservoir. In two-dimensional case, the effects of multiple shock collisions in
heterogeneous media are automatically modeled. In the case of immiscible fluids and a classic interface, the suggested method
converges to the VOF-method. 相似文献
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IntroductionTheflowtheoryanditsapplicationoffluidsflowinafractalreservoirhavecontinuallygonedeepintostudysinceChangandYortsos[1]builttheflowmodeloffluidthroughafractalreservoir.TONGDeng_ke[2 ]presentedtheexactsolutionanditspressurecharacteristicsfortheva… 相似文献
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L. B. Maslov 《Mechanics of Solids》2018,53(2):184-194
The paper presents a unified mathematical approach for describing the dynamic stressstrain state of mechanical structures from heterogeneous materials possessing a double coupled system of pore channels filled with fluid. New dynamic equations describing the oscillations of poroelastic systems based on the developed model of a continuous medium with additional degrees of freedom in the form of various pressures of the components constituting the liquid phase of the material are obtained. The equations and the method of obtaining them have a greater degree of generalization than those encountered in the literature. Theoretical results can be used to study the propagation of vibrations in fractured geological rocks saturated with liquid, to develop technical systems of new structural materials with a porous structure, for the analysis of micro streams of fluid in the hierarchical system of microporous bone tissue. 相似文献
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We study the swelling of a gel annulus attached to a rigid core when it is immersed in a solvent.For equilibrium states,the free-energy function of the gel can be converted into a strain energy function,and as a result the gel can be treated as a compressible hyperelastic material.Asymptotic methods are used to study the inhomogeneous swelling in order to obtain the leading-order solution.Some analytical insights are then deduced.Because of the compressive hoop stress in this state,at some stage instability can occur,leading to wrinkles in the gel.An incremental deformation theory in nonlinear elasticity is used to conduct a linear bifurcation analysis for understanding such instability.More specifically,the critical loading for the onset of a wrinkled state is obtained.Detailed discussions on the behaviors of various physical quantities in this critical state are given.It is found that the critical mode number,while insensitive to the material parameters,is greatly influenced by the ratio of the inner and outer radii of the gel.Also,an interesting finding is that the critical swelling ratio is an increasing function of this geometrical parameter,which implies that a thin annulus is more likely to be unstable than a thick one. 相似文献
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Pirnia Pouyan Duhaime François Ethier Yannic Dubé Jean-Sébastien 《Transport in Porous Media》2019,129(3):837-853
Transport in Porous Media - Several methods are employed for drag force calculations with the discrete element method depending on the desired accuracy and the number of particles involved. For... 相似文献
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This paper examines the combination of radial deformation with torsion for a circular cylindrical tube composed of a transversely
isotropic hyperelastic material subject to finite deformation swelling. The stored energy function involves separate matrix
and fiber contributions such that the fiber contribution is minimized when the fiber direction is at a natural length. This
natural length is not affected by the swelling. Hence swelling preferentially expands directions that are orthogonal to the
fiber. The swelling itself is described via a swelling field that prescribes the local free volume at each location in the
body. Such a treatment is a relatively simple generalization of the conventional incompressible theory. The direction of transverse
isotropy associated with the fiber reinforcement is described by a helical winding about the tube axis. The swelling induced
preferential expansion orthogonal to this direction induces the torsional aspect of the deformation. For a specific class
of strain energy functions we find that the twist increases with swelling and approaches a limiting asymptotic value as the
swelling becomes large. The fibers reorient such that fibers at the inner portion of the tube assume a more circumferential
orientation whereas, at least for small and moderate swelling, the fibers in the outer portion of the tube assume a more axial
orientation. For large swelling the fibers in the outer portion of the tube reorient beyond the axial orientation, and so
are described by helices with orientation in the opposite sense to that in the reference configuration.
相似文献
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Marcela Cruchaga Diego Celentano 《International Journal of Computational Fluid Dynamics》2013,27(4):247-262
In this work a fixed mesh finite element approach is presented to solve thermally coupled flow problems including moving interfaces between immiscible fluids and phase-change effects. The weak form of the full incompressible Navier-Stokes equations is obtained using a generalized streamline operator (GSO) technique that enables the use of equal order interpolation of the primitive variables of the problem: velocity, pressure and temperature. The interfaces are defined with a mesh of marker points whose motion is obtained applying a Lagrangian scheme. Moreover, a temperature-based formulation is considered to describe the phase-change phenomena. The proposed methodology is used in the analysis of a filling of a step mould and a gravity-driven flow of an aluminium alloy in an obstructed vertical channel. 相似文献
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This paper shows that for DEM simulations of triaxial tests using samples with a grading that is repre- sentative of a real soil, the sample size significantly influences the observed material response. Four DEM samples with identical initial states were produced: three cylindrical samples bounded by rigid wails and one bounded by a cubical periodic cell, When subjected to triaxial loading, the samples with rigid boundaries were more dilative, stiffer and reached a higher peak stress ratio than the sample enclosed by periodic boundaries. For the rigid-wall samples, dilatancy increased and stiffness decreased with increasing sample size, The periodic sample was effectively homogeneous, The void ratio increased and the contact density decreased close to the rigid walls, This heterogeneity reduced with increasing sample size. The positions of the critical state lines (CSLs) of the overall response in e-log p' space were sensitive to the sample size, although no difference was observed between their slopes. The critical states of the interior regions of the rigid-wall-bounded samples approached that of the homogeneous periodic sample with increasing sample size. The ultimate strength of the material at the critical state is independent of sample size. 相似文献
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The paper studies the coupled diffusion-dissolution process in reactive porous media, separated by a fracture channel. An aggressive solute, corresponding for e.g., to a complete demineralization that dissolves the solid skeleton of the surrounding porous material, is prescribed at the inlet of the fracture. By means of asymptotic dimensional analysis it is shown that for large times the diffusion length in the fracture develops with the quadratic root of time. In comparison with the 1D-Stefan Problem, in which the dissolution front evolves with the square root of time, this indicates that the overall solute evacuation through the structure slows down in time. This phenomenon is referred to as a diffusive solute congestion in the fracture. This asymptotic behavior is confirmed by means of model-based simulation, and the relevant material parameters, related to only the chemical equilibrium condition, are identified. The obtained results suggest that the presence of a small crack does not significantly increase the propagation of the dissolution front in the porous bulk, and hence the overall chemical degradation of the porous material. The same applies to other diffusion induced demineralization, mineralization, sorption and melting processes, provided that the convective transport of the solute in the crack is small in comparison with the solute diffusion. The result is relevant for several problems in durability mechanics: calcium leaching of concrete in nuclear waste containment, mineralization and demineralization in bone remodeling, chloride penetration, etc. 相似文献
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Studies on Bifurcation and Chaos of a String-Beam Coupled System with Two Degrees-of-Freedom 总被引:1,自引:0,他引:1
In this paper, research on nonlinear dynamic behavior of a string-beam coupled system subjected to parametric and external
excitations is presented. The governing equations of motion are obtained for the nonlinear transverse vibrations of the string-beam
coupled system. The Galerkin's method is employed to simplify the governing equations to a set of ordinary differential equations
with two degrees-of-freedom. The case of 1:2 internal resonance between the modes of the beam and string, principal parametric
resonance for the beam, and primary resonance for the string is considered. The method of multiple scales is utilized to analyze
the nonlinear responses of the string-beam coupled system. Based on the averaged equation obtained here, the techniques of
phase portrait, waveform, and Poincare map are applied to analyze the periodic and chaotic motions. It is found from numerical
simulations that there are obvious jumping phenomena in the resonant response–frequency curves. It is indicated from the phase
portrait and Poincare map that period-4, period-2, and periodic solutions and chaotic motions occur in the transverse nonlinear
vibrations of the string-beam coupled system under certain conditions.
An erratum to this article is available at . 相似文献
18.
《Particuology》2022
Screw conveyors are widely employed in industrial fields for conveying bulk materials. The shearer drum which uses the screw conveying principle is responsible for excavation and conveying coal particles onto the chain conveyor. Screw conveyor performance is affected by potential factors, such as the blade axial tilt angle and style, core shaft form and diameter. The effect of blade axial tilt angle on the conveying performance was investigated with the help of DEM. In the case of the screw conveyor, the mass flow rate, and particle axial velocity increased with increasing positive axial tilt angle, and declined with increasing negative axial tilt angle. In the case of the drum, the mass flow rate, particle axial velocity, and loading rate first increased and then decreased with increasing positive axial tilt angle, and decreased with increasing negative axial tilt angle. These results can be considered as a benchmark for screw conveyor and drum structural designs with axial tilt screw blades. 相似文献
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Liqing Sun Xiaodi Zhang Qingliang Zeng Kuidong Gao Kao Jiang Jiawei Zhou 《Particuology》2022,(2):91-102
Screw conveyors are widely employed in industrial fields for conveying bulk materials.The shearer drum which uses the screw conveying principle is responsible f... 相似文献