Showing papers on "Shear stress published in 1995"

A review of the slip (wall depletion) of polymer solutions, emulsions and particle suspensions in viscometers: its cause, character, and cure

Abstract: Slip occurs in the flow of two-phase systems because of the displacement of the disperse phase away from solid boundaries. This arises from steric, hydrodynamic, viscoelastic and chemical forces and constraints acting on the disperse phase immediately adjacent to the walls. The enrichment of the boundary near the wall with the continuous (and usually low-viscosity) phase means that any flow of the fluid over the boundary is easier because of the lubrication effect. Because this effect is usually confined to a very narrow layer — with typical thickness of 0.1–10 μm—it so resembles the slip of solids over surfaces that it has historically been given the same terminology. The restoring force for all the forces that cause an increase in concentration is usually osmotic, and this will always limit the effective slip. In dilute systems, concentration gradients can be present over relatively large distances out from walls, giving what might be interpreted on an overall basis as a thick solvent-only layer. However, as the concentration of the system increases, the layer gets thinner and thinner because it is more difficult to create with the large reverse osmotic force present. However, the enormous increase in the bulk viscosity with increase in concentration means that although thinner, the layer becomes, paradoxically, even more important. Slip manifests itself in such a way that viscosity measured in different size geometries gives different answers if calculated the normal way — in particular the apparent viscosity decreases with decrease in geometry size (e.g. tube radius). Also, in single flow curves unexpected lower Newtonian plateaus are sometimes seen, with an apparent yield stress at even lower stresses. Sudden breaks in the flow curve can also be seen. Large particles as the disperse phase (remember flocs are large particles), with a large dependence of viscosity on the concentration of the dispersed phase are the circumstances which can give slip, especially if coupled with smooth walls and small flow dimensions. The effect is usually greatest at low speeds/flow rates. When the viscometer walls and particles carry like electrostatic charges and the continuous phase is electrically conducted, slip can be assumed. In many cases we need to characterise the slip effects seen in viscometers because they will also be seen in flow in smooth pipes and condults in manufacturing plants. This is usually done by relating the wall shear stress to a slip velocity using a power-law relationship. When the bulk flow has also been characterized, the flow in real situations can be calculated. To characterise slip, it is necessary to change the size of the geometry, and the results extrapolated to very large size to extract unambigouos bulk-flow and slip data respectively. A number of mathematical manipulations are necessary to retrieve these data. We can make attempts to eliminate slip by altering the physical or chemical character of the walls. This is usually done physically by roughening or profiling, but in the extreme, a vane can be used. This latter geometry has the advantage of being easy to make and clean. In either case—by extrapolation or elimination—we end up with the bulk flow properties. This is important in situations where we are trying to understand the microstructure/flow interactions.

Nitric Oxide Synthesis by Cultured Endothelial Cells Is Modulated by Flow Conditions

Abstract: In the present study, we examined the hypothesis that dynamic characteristics of flow modulate the production of vasoactive mediators, namely nitric oxide (NO) and endothelin-1 (ET-1), by human umbilical vein endothelial cells (HUVECs). Cells were exposed for 6 hours in a cone-and-plate apparatus to different types of flow: steady laminar, with shear stresses of 2, 8, and 12 dyne/cm2, pulsatile laminar, with shear stress from 8.2 to 16.6 dyne/cm2 and a frequency of 2 Hz; periodic laminar, with square wave cycles of 15 minutes and shear stress from 2 to 8 dyne/cm2, and turbulent, with shear stress of 8 dyne/cm2 on average. A second culture dish was kept in a normal incubator as a static control for each experiment. Laminar flow induced synthesis of NO by HUVECs that was dependent on shear-stress magnitude. Laminar shear stress at 8 dyne/cm2 also upregulated the level of NO synthase mRNA. As observed with steady laminar flow, pulsatile flow also induced an increase in NO release by endothelial cells. When HUVECs were subjected to step-change increases of laminar shear, a further increase of NO synthesis was observed, compared with steady laminar shear of the same magnitude. Turbulent flow did not upregulate NO synthase mRNA or increase NO release. Both laminar and turbulent shear stress reduced, although not significantly, ET-1 mRNA and ET-1 production compared with the static condition. These results indicate that local blood flow conditions modulate the production of vasoactive substances by endothelial cells. This may affect vascular cell functions such as nonthrombogenicity, regulation of blood flow, and vascular tone.

Role of Near-Bed Turbulence Structure in Bed Load Transport and Bed Form Mechanics

Abstract: The interactions between turbulence events and sediment motions during bed load transport were studied by means of laser-Doppler velocimetry and high-speed cinematography. Sweeps (u′ > 0, w′ 0 w′ > 0) which contribute negatively to the bed shear stress and are relatively rare, individually move as much sediment as sweeps of comparable magnitude and duration, however, and much more than bursts (u′ 0) and inward interactions (u′ < 0, w′ < 0). When the magnitude of the outward interactions increases relative to the other events, therefore, the sediment flux increases even though the bed shear stress decreases. Thus, although bed shear stress can be used to estimate bed load transport by flows with well-developed boundary layers, in which the flow is steady and uniform and the turbulence statistics all scale with the shear velocity, it is not accurate for flows with developing boundary layers, such as those over sufficiently nonuniform topography or roughness, in which significant spatial variations in the magnitudes and durations of the sweeps, bursts, outward interactions, and inward interactions occur. These variations produce significant peaks in bed load transport downstream of separation points, thus supporting the hypothesis that flow separation plays a significant role in the development of bed forms.

Foam Mechanics at the Bubble Scale

Abstract: By focusing on entire bubbles rather than films or vertices, a simple model is proposed for the deformation and flow of foam in which dimensionality, polydispersity, and liquid content can easily be varied. Simulation results are presented for the linear elastic properties as a function of bubble volume fraction, showing a melting transition where the static shear modulus vanishes and the relaxation time scale peaks. Results are also presented for shear stress versus strain rate, showing intermittent flow via avalanchelike topological rearrangements and Bingham-plastic behavior.

Interlaminar shear stresses and laminae separation in a disc. Finite element analysis of the L3-L4 motion segment subjected to axial compressive loads.

Abstract: Study Design. This study analyzed interlaminar shear stresses across the laminae of a ligamentous L3-L4 motion segment. A three-dimensional finite element model of the motion segment was developed and its response in axial compression mode was predicted. Objectives. The contributions of mechanical factors in producing laminae separation in a disc are not well understood, especially when the nucleus is still gel-like in appearance (stage 1 of disc degeneration). All types of stresses are likely to contribute to laminae separation. The authors believe it is partially due to the interlaminar shear stresses at the laminae interfaces in specific regions of an intact disc because the disc is a composite structure. The effects of anular tears on the interlaminar shear stresses were also investigated. These tears can be circumferential or radial in nature, and commonly occur in the aged, degenerated disc. Summary of Background Data. A large number of biomechanical studies dealing with the role of the disc vis-a-vis other spinal components have been reported in the literature. The role of mechanical factors, however, in producing laminae separation, especially when the nucleus is still gel-like in appearance (stage 1 of disc degeneration), is not entirely clear. Methods. A three-dimensional nonlinear finite element model of an intact L3-L4 lumbar motion segment, based on the use of a special type of element for the disc anulus, was created to investigate the interlaminar shear stresses in the anulus. The effects of radial out-in, radial in-out, and circumferential injuries were analyzed. Injury was modeled as element removal in the posterolateral portion of the disc. Models subjected to axial compressive loads, ranging from 200 N to 2000 N, were analyzed. In addition to the interlaminar shear stresses, disc bulge, and displacements including coupled motions were predicted. Results. The theoretical disc bulge predictions for the radial in-out injury case were in agreement with the disc bulge data obtained experimentally. Displacements, disc bulge, and coupled motions increased with injury, as expected. The interlaminar shear stresses were highest in the posterolateral portions of the intact disc model. Interlaminar shear stresses, in general, increased with injury. Also, a slight increase in circumferential injury was sufficient to see a substantial increase in interlaminar shear stresses. Conclusions. The interlaminar shear stresses being higher in the posterolateral regions of the intact disc reinforces that, from clinical studies, tears originate in the posterolateral portion of the disc. The large interlaminar shear stresses, caused by asymmetry in the disc structure due to injury, along with chemical and structural changes in the disc with age, may be an important cause of further degeneration through laminae separation. This is the case for traditional composite laminates. This study points out the importance of interlaminar shear stresses to gain further understanding of the role of mechanical factors in producing disc degeneration, especially delamination of the anulus. Clinical relevance of the findings and possible relationship to the aging process are explored

Pressure tensor for inhomogeneous fluids

Abstract: We develop a simple, efficient, and general statistical mechanical technique for calculating the pressure tensor of an atomic fluid. The method is applied to the case of planar Poiseuille flow through a narrow slit pore, and the results indicate that our technique is accurate and relatively efficient. A second method to calculate shear stress is derived from the momentum continuity equation. This mesoscopic method again is seen to be accurate with low statistical uncertainty. Using both approaches, the viscosity is calculated as a function of position across the pore, and is seen to oscillate because of a wall-induced local structure in the fluid. We discuss these methods in relation to the well-known ambiguity of the pressure tensor.

Faulting processes at high fluid pressures: An example of fault valve behavior from the Wattle Gully Fault, Victoria, Australia

Abstract: The internal structures of the Wattle Gully Fault provide insights about the mechanics and dynamics of fault systems exhibiting fault valve behavior in high fluid pressure regimes. This small, high-angle reverse fault zone developed at temperatures near 300°C in the upper crust, late during mid-Devonian regional crustal shortening in central Victoria, Australia. The Wattle Gully Fault forms part of a network of faults that focused upward migration of fluids generated by metamorphism and devolatilisation at deeper crustal levels. The fault has a length of around 800 m and a maximum displacement of 50 m and was oriented at 60° to 80° to the maximum principal stress during faulting. The structure was therefore severely misoriented for frictional reactivation. This factor, together with the widespread development of steeply dipping fault fill quartz veins and associated subhorizontal extension veins within the fault zone, indicates that faulting occurred at low shear stresses and in a near-lithostatic fluid pressure regime. The internal structures of these veins, and overprinting relationships between veins and faults, indicate that vein development was intimately associated with faulting and involved numerous episodes of fault dilatation and hydrothermal sealing and slip, together with repeated hydraulic extension fracturing adjacent to slip surfaces. The geometries, distribution and internal structures of veins in the Wattle Gully Fault Zone are related to variations in shear stress, fluid pressure, and near-field principal stress orientations during faulting. Vein opening is interpreted to have been controlled by repeated fluid pressure fluctuations associated with cyclic, deformation-induced changes in fault permeability during fault valve behavior. Rates of recovery of shear stress and fluid pressure after rupture events are interpreted to be important factors controlling time dependence of fault shear strength and slip recurrence. Fluctuations in shear stress and transient rotations of near-field principal stresses, indicated by vein geometries, are interpreted to indicate at least local near-total relief of shear stress during some rupture events. Fault valve behavior has important effects on the dynamics of fluid migration around active faults that are sites of focused fluid migration. In particular, fault valve action is expected to lead to distinctly different fluid migration patterns adjacent to faults before, and immediately after, rupture. These fluid migration patterns have important differences with those predicted by models for dilatancy-diffusion effects and for poroelastic responses around reverse faults.

Coalescence of fractures under shear stresses in experiments

Abstract: A series of uniaxial compression tests were performed on gypsum specimens with preexisting fractures to study the failure mechanism of fractures and rock bridges in fractured rock masses. The coalescence mechanism of two parallel and offset fractures was investigated by monitoring the process of fracture initiation and propagation with a video camera. The tests showed that two inclined parallel fractures can coalesce by shear failure and/or tensile failure under a uniaxial load. The coalescence path and mechanism mainly depend on the relative position of the two fractures. For instance, when the two fractures are coplanar or slightly offset, coalescence is generated by shear failure; when they are overlapping in the loading direction, coalescence is generated by mixed shear and tensile failure. Two types of preexisting fractures, one without initial surface contact and hence frictionless and another with surface contact and friction, were used to study the influence of fracture contact conditions on the coalescence path and load. It was found that coalescence of fractures with surface contact and friction requires loads as much as 35% higher than that for coalescence of fractures without contact and friction. A stress analysis was conducted in this study to explain the different coalescence mechanisms. The analytical work indicated that different fracture geometries produce significantly different stress fields in the rock bridge area and hence result in different failure modes.

Design principles of vascular beds.

Abstract: Hemodynamic parameters were determined in each vessel segment of six complete microvascular networks in the rat mesentery by using a combination of experimental measurements and theoretical stimulations. For a total number of 2592 segments, a strong unified dependence of wall shear stress on intravascular pressure for arterioles, capillaries, and venules was obtained. All three types of segments exhibit an essentially identical variation of shear stress from high to low values (from approximately 100 to 10 dyne/cm2) as intravascular pressure falls from 70 to 15 mm Hg. On the basis of these observations, it is proposed that vascular beds grow and adapt so as to maintain the shear stress in each vessel at a level that depends on local transmural pressure. In contrast to Murray's classic 'minimum-cost' hypothesis, which implies uniformity of wall shear rate throughout the vasculature, the proposed design principle provides an explanation for the functionally important arteriovenous asymmetry of wall shear rates and flow resistance in the circulation.

The cis-acting phorbol ester "12-O-tetradecanoylphorbol 13-acetate"-responsive element is involved in shear stress-induced monocyte chemotactic protein 1 gene expression.

Abstract: Vascular endothelial cells, serving as a barrier between vessel and blood, are exposed to shear stress in the body. Although endothelial responses to shear stress are important in physiological adaption to the hemodynamic environments, they can also contribute to pathological conditions--e.g., in atherosclerosis and reperfusion injury. We have previously shown that shear stress mediates a biphasic response of monocyte chemotactic protein 1 (MCP-1) gene expression in vascular endothelial cells and that the regulation is at the transcriptional level. These observations led us to functionally analyze the 550-bp promoter region of the MCP-1-encoding gene to define the cis element responding to shear stress. The shear stress/luciferase assay on the deletion constructs revealed that a 38-bp segment (-53 to -90 bp relative to the transcription initiation site) containing two divergent phorbol ester "12-O-tetradecanoylphorbol 13-acetate" (TPA)-responsive elements (TRE) is critical for shear inducibility. Site-specific mutations on these two sites further demonstrated that the proximal one (TGACTCC) but not the distal one (TCACTCA) was shear-responsive. Shear inducibility was lost after the mutation or deletion of the proximal site. This molecular mechanism of shear inducibility of the MCP-1 gene was functional in both the epithelial-like HeLa cells and bovine aortic endothelial cells (BAEC). In a construct with four copies of the TRE consensus sequences TGACTACA followed by the rat prolactin minimal promoter and luciferase gene, shear stress induced the reporter activities by 35-fold and 7-fold in HeLa cells and BAEC, respectively. The application of shear stress on BAEC also induced a rapid and transient phosphorylation of mitogen-activated protein kinases. Pretreatment of BAEC with TPA attenuated the shear-induced mitogen-activated protein kinase phosphorylation, suggesting that shear stress and TPA share a similar signal transduction pathway in activating cells. The present study provides a molecular basis for the transient induction of MCP-1 gene by shear stress.

Shear Stress Induces ATP-Independent Transient Nitric Oxide Release From Vascular Endothelial Cells, Measured Directly With a Porphyrinic Microsensor

Abstract: Shear stress causes the vascular endothelium to release nitric oxide (NO), which is an important regulator of vascular tone. However, direct measurement of NO release after the imposition of laminar flow has not been previously accomplished because of chemical (oxidative degradation) and physical (diffusion, convection, and washout) complications. Consequently, the mechanism, time course, kinetics, and Ca2+ dependence of NO release due to shear stress remain incompletely understood. In this study, we characterized these parameters by using fura 2 fluorescence and a polymeric porphyrin/Nafion-coated carbon fiber microsensor (detection limit, 5 nmol/L; response time, 1 millisecond) to directly measure changes in [Ca2+]i and NO release due to shear stress or agonist (ATP or brominated Ca2+ ionophore [Br-A23187]) from bovine aortic endothelial cells. The cells were grown to confluence on glass coverslips, loaded with fura 2-AM, and mounted in a parallel-plate flow chamber (volume, 25 microL). The microsensor was positioned approximately 100 microns above the cells with its long axis parallel to the direction of flow. Laminar flow of perfusate was maintained from 0.04 to 1.90 mL/min, which produced shear stresses of 0.2 to 10 dyne/cm2. Shear stress caused transient NO release 3 to 5 seconds after the initiation of flow and 1 to 3 seconds after the rise in [Ca2+]i, which reached a plateau after 35 to 70 seconds. Although the amount (peak rate) of NO release increased as a function of the shear stress (0.08 to 3.80 pmol/s), because of the concomitant increase in the flow rate, the peak NO concentration (133 +/- 9 nmol/L) remained constant. Maintenance of flow resulted in additional transient NO release, with peak-to-peak intervals of 15.5 +/- 2.5 minutes. During this 13- to 18-minute period, when the cells were unresponsive to shear stress, exogenous ATP (10 mumol/L) or Br-A23187 (10 mumol/L) evoked NO release. Prior incubation of the cells with exogenous NO or the removal and EGTA (100 mumol/L) chelation of extracellular Ca2+ blocked shear stress but not ATP-dependent NO release. The kinetics of shear stress-induced NO release (2.23 +/- 0.07 nmol/L per second) closely resembled the kinetics of Ca2+ flux but differed markedly from the kinetics of ATP-induced NO release (5.64 +/- 0.32 nmol/L per second). These data argue that shear stress causes a Ca(2+)-mediated ATP-independent transient release of NO, where the peak rate of release but not the peak concentration depends on the level of shear stress.(ABSTRACT TRUNCATED AT 400 WORDS)

Subcellular distribution of shear stress at the surface of flow-aligned and nonaligned endothelial monolayers

Abstract: The stresses acting on the luminal surface of endothelial cells due to shear flow were determined on a subcellular scale. Atomic force microscopy was used to measure the surface topography of confluent endothelial monolayers cultured under no-flow conditions or exposed to steady shear stress (12 dyn/cm2 for 24 h). Flow over these surface geometries was simulated by computational fluid dynamics, and the distribution of shear stress on the cell surface was calculated. Flow perturbations due to the undulating surface produced cell-scale variations of shear stress magnitude and hence large shear stress gradients. Reorganization of the endothelial surface in response to prolonged exposure to steady flow resulted in significant reductions in the peak shear stresses and shear stress gradients. From the relationship between surface geometry and the resulting shear stress distribution, we have defined a hydrodynamic shape factor that characterizes the three-dimensional morphological response of endothelial cells to flow. The analysis provides a complete description of the spatial distribution of stresses on individual endothelial cells within a confluent monolayer on a scale relevant to the study of physical mechanisms of mechanotransduction.

Synergistic Effects of Fluid Shear Stress and Cyclic Circumferential Stretch on Vascular Endothelial Cell Morphology and Cytoskeleton

Abstract: The development of atherosclerosis is thought to be initiated by a dysfunctional state of the vascular endothelium. The proposal that mechanical forces play a role in the localization of this disease has led researchers to develop in vitro models to assess their effects on cultured endothelial cells. The arterial endothelium is exposed simultaneously to circumferential hoop stretch and wall shear stress, yet previous investigations have focused on the isolated effects of either cyclic stretch or shear stress. The influence of physiological levels of combined shear stress and hoop stretch on the morphology and F-actin organization of bovine aortic endothelial cells was investigated. Cells subjected for 24 hours to shear stresses higher than 2 dyne/cm2 or to hoop stretch greater than 2% elongated significantly compared with unstressed controls and oriented along the direction of flow and perpendicular to the direction of stretch. Exposure to more than 4% stretch significantly enhanced the responses to shear stress. Both shear stress and hoop stretch induced formation of stress fibers that were aligned with the cells' long axes. Simultaneous exposure to both stimuli appeared to enhance stress fiber size and alignment. These results indicate that shear stress and hoop stretch synergistically induce morphological changes in endothelial cells, which suggests that circumferential strain might modulate sensitivity of endothelial cells towards shear stress.

Modeling interstitial flow in an artery wall allows estimation of wall shear stress on smooth muscle cells.

Abstract: The arterial media is modeled as a periodic array of cylindrical smooth muscle cells residing in a matrix comprised of proteoglycan and collagen fibers. Using Brinkman's model to describe transmural flow through such a fibrous media, we calculate the effective hydraulic permeability of the media and the wall shear stress on smooth muscle cells. Two interesting results are obtained: first, the wall shear stress on smooth muscle cells is on the order of 1 dyne/cm2, which is the range known to affect endothelial cells in vitro; second, the flow resistance due to smooth muscle cells is not negligible compared to the resistance due to the fiber matrix.

Particle adhesion and removal: a review

Abstract: A review is given of the factors playing a role in particle adhesion and removal. The emphasis is put on those systems, which are of colloidal nature (so that gravitational effects can be neglected), and which are as close as possible to the sphere-plate model. It is shown that the major interaction forces are the omni-present van der Waals force of attraction and in an liquid environment, in addition, the electrostatic double layer force of repulsion and, in particularly in a polar liquid, the Lewis acid/base force of interaction, which is responsible for hydrophobic bonding. The magnitude of the various interactions depends on the surface properties of the adherents and on the deviations of the idealized model, such as an extended contact area. The latter is also responsible for alterations with time, either as a result of plastic or elastic deformation. The removal of particles of colloidal dimensions from a solid surface is controlled by the wall shear stress of the flow passing by, and in ca...

Behavior of Reinforced Concrete MembraneElements in Shear

Abstract: Thirteen full-size reinforced concrete panels were tested to determine the behavior of reinforced concrete elements subjected to membrane shear. The panels were designed to study three variables : 1) the percentage of reinforcement, 2) the ratio of transverse-to-longitudinal steel, and 3) the load path. The resulting load-deformation responses in the test panels were correctly predicted by a softened truss model. This rational model satisfies the three fundamental principles of the mechanics of materials : 1) stress equilibrium, 2) strain compatibility, and 3) the constitutive laws of materials. Three constitutive laws previously established from membrane elements subjected to biaxial tension-compression were applied to membrane elements subjected to shear. It was found that the constitutive law of reinforcing bars must be modified by a factor that takes into account the kinking of the reinforcing bars. Membrane elements subjected to shear may fail in four modes : I) under-reinforced, 2) partially under-reinforced in longitudinal steel, 3) partially under-reinforced in transverse steel, or 4) over-reinforced. These four failure modes are also correctly predicted by the softened truss model.

Experimental investigation of a salt water turbulent boundary layer modified by an applied streamwise magnetohydrodynamic body force

Abstract: Single‐component velocity field measurements, mean and fluctuating wall shear stress measurements, and photographic flow visualizations have been made of a magnetohydrodynamic (MHD) body‐force modified turbulent boundary layer. The turbulent boundary layer flowed over a flat plate in salt water at zero pressure gradient; the MHD force was created by the interaction of a permanent magnetic field and an applied electric field from a magnet/electrode array integral to the surface of the plate. A MHD force, when applied to an electroconducting fluid and acting in a streamwise direction, can generate a near‐wall jet, decreasing the boundary layer thickness and suppressing the intensity of the turbulent fluctuations across the boundary layer. At very high interactions, the force causes an increase in mean wall shear and in turbulence; in the zero free‐stream velocity limit, the force acts as a pump. An increase in local skin friction, however, is offset by a grain in thrust due to the force. At moderate interac...

A noninvasive method to estimate wall shear rate using ultrasound.

Abstract: Wall shear stress (blood viscosity x wall shear rate), imposed by the flowing blood, and blood pressure are the main mechanical forces acting on a blood vessel wall. Accurate measurement of wall shear stress is important when investigating the development of vascular disease, since both high and low wall shear stresses have been cited as factors leading to vessel wall anomalies. Furthermore, in vitro studies have shown that endothelial cells, which play a key role in the function of the underlying arterial wall, undergo a variety of structural and functional changes in response to imposed shear stress. However, there is practically no knowledge about the influence of wall shear stress on the arterial wall in vivo because of the difficulty in measuring this stress in terms of magnitude and time variation. The method presented in this article to measure the time-dependent wall shear rate in the main arteries is based on the evaluation of velocity profiles determined by means of ultrasound, using off-line signal processing. Pulsed ultrasound is well suited for this application since it is noninvasive. The processing performed in the radio-frequency (RF) domain consists of a mean frequency estimator preceded by an adaptive vessel wall filter. In a pilot study (30 measurements in the carotid artery of five healthy volunteers) we investigated the reproducibility of our method to estimate wall shear rate as compared with the reproducibility of the measurement of blood flow velocity in the middle of the vessel. The coefficient of variation was on the order of 9% for blood flow velocity estimation, and for wall shear rate estimation on the order of 5%.

String phase in phase-separating fluids under shear flow.

Abstract: Transmission light micrographs show that domains in spinodal decomposition are elongated into extremely long strings in steady states of a polymer solution under strong shear flow. The shear flow stabilizes the string against their intrinsic surface tension instabilities. The string diameter decreases with increase in the shear rate and ultimately becomes of the order of the interface thickness, resulting in shear-induced homogenization.

Structure and Shear Response in Nanometer-Thick Films

Abstract: Simulations of the structure and dynamics of fluid films confined to a thickness of a few molecular diameters are described. Confining walls introduce layering and in-plane order in the adjacent fluid. The latter is essential to transfer of shear stress. As the film thickness is decreased, by increasing pressure or decreasing the number of molecular layers, the entire film may undergo a phase transition. Spherical molecules tend to crystallize, while short-chain molecules enter a glassy state with strong local orientational and translational order. These phase transitions lead to dramatic changes in the response of the film to imposed shear velocities v. Spherical molecules show an abrupt transition from Newtonian response to a yield stress as they crystallize. Chain molecules exhibit a continuously growing regime of non-Newtonian behavior where the shear viscosity drops as v−2/3 at constant normal load. The same power law is found for a wide range of parameters, and extends to lower and lower velocities as a glass transition is approached. Once in the glassy state, chain molecules exhibit a finite yield stress. Shear may occur either within the film or at the film/wall interface. Interfacial shear dominates when films become glassy and when the film viscosity is increased by increasing the chain length.

A Mathematical Model for Shear‐Induced Hemolysis

Abstract: The time-varying history of stress exposure within a rotary blood pump makes it difficult to arrive at a quantifiable design criterion for predicting cell trauma-tization. Constant stress experiments have revealed that there is a threshold stress level above which damage to blood cells occurs depending upon the time of exposure. The shear stress history experienced by cells within a rotary blood pump, however, is highly unsteady. In order to better predict cell trauma under these realistic conditions, a mathematical damage model based on a concept of “damage accumulation” has been developed. This model is evaluated within the context of red cell trauma. Experimental results support the hypothesis that the rate of damage accumulation increases nonlinearly with the stress level as well as the age of the cell.

Simulating deformations of granular solids under shear

Abstract: We present MD simulations of shear cells of a densily packed array of polygonal grains in two dimensions. We study the dependence of the shear force on the shear velocity. Generally shear hardening is observed. The dependence of the dilatancy on the shear velocity is measured. We also apply the method to simulate two tectonic plates moving under shear. We find a Gutenberg-Richter-like law with a b-value of (1.02 ± 0.06) in good agreement with geophysical measurements. Shear bands of widths dependent on the confining pressure and the shear velocity are observed.

Generalized Cyclic-Degradation-Pore-Pressure Generation Model for Clays

Abstract: This paper proposes a model for the behavior of fully saturated normally consolidated and overconsolidated marine clays subjected to uniform cyclic strain-controlled and staged cyclic loading under simple shear conditions. To simulate a clay response similar to that occurring during the irregular cyclic loading of earthquakes, ocean storms, and other natural phenomena, staged cyclic testing with several levels of different uniform cyclic strains was performed. Cyclic degradation, cyclic pore-water pressure generation, and cyclic threshold shear strain were incorporated into the model. Cyclic threshold shear strain was defined as the cyclic strain amplitude below which neither significant pressure develops nor significant degradation occurs. The model was verified by staged cyclic direct simple shear testing of five marine clays. Practical applications of the model are discussed.