Steady rotation of a composite sphere in a concentric spherical cavity

The problem of steady rotation of a compositesphere located at the centre of a spherical container has beeninvestigated.A composite particle referred to in this paperis a spherical solid core covered with a permeable sphericalshell.The Brinkman’s model for the flow inside the composite sphere and the Stokes equation for the flow in the spherical container were used to study the motion.The torque experienced by the porous spherical particle in the presence ofcavity is obtained.The wall correction factor is calculated.In the limiting cases,the analytical solution describing thetorque for a porous sphere and for a solid sphere in an unbounded medium are obtained from the present analysis.     

An example of PDE with two attractors

ＡＮＥＸＡＭＰＬＥＯＦＰＤＥＷＩＴＨＴＷＯＡＴＴＲＡＣＴＯＲＳＷａｎｇＧｕａｎｘｉａｎｇ（王冠香）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ,ＳｕｚｈｏｕＵｎｉｖｅｒｓｉｔｙ,Ｓｕｚｈｏｕ２１５００６Ｐ．Ｒ．Ｃｈｉｎａ）ＸｕＺｈｅｎｙｕａｎ（徐...     

Influences of oscillatory structural forces on dewetting of nanoparticle-laden ultra-thin films

To understand the influences of nanoparticleson dewetting in ultra-thin films,both linear stability theory and numerical simulations are performed in the presentstudy,with the consideration of oscillatory structural(OS)forces.Long scale approximation is utilized to simplify thehydrodynamic and diffusion equations to a nonlinear systemfor film thickness and nanoparticle concentration.Resultsshow that the presence of nanoparticles generally suppressesthe dewetting process.Two physical mechanisms responsible for this phenomenon are addressed in the present study.When the oscillatory structural forces are relatively smaller,the essential feature of film evolution is similar to the case ofparticle-free flow.The reduction of the linear growth rate andthe postponement of film rupturing can be attributed to theincrement of the viscosity due to the presence of nanoparticles.On the other hand,when the intensity of the OS forcesbecomes stronger,the stepwise thinning of film can be observed which prevents the film from rupture.Numerical simulations indicate that this phenomenon is caused by the existence of a stable zone due to the oscillatory nature of thestructural forces.Another interesting finding is that the nonuniformity of the distribution of nanoparticle concentrationmight destabilize a spinodally stable film,and trigger the occurrence of film dewetting.     

Analysis of Stability on Elastic Plates with Initial Imperfections

ＡＮＡＬＹＳＩＳＯＦＳＴＡＢＩＬＩＴＹＯＮＥＬＡＳＴＩＣＰＬＡＴＥＳＷＩＴＨＩＮＩＴＩＡＬＩＭＰＥＲＦＥＣＴＩＯＮＳＸｕＫａｉｙｕ（徐凯宇）（ＲｅｃｅｉｖｅｄＯｃｔ．５．１９９４；ＣｏｍｍｕｎｉｃａｔｅｄＰａｉＬｉｚｈｏｕ）ＡＮＡＬＹＳＩＳＯＦＳＴＡ...     

Wind induced deformation and vibration of a Platanus acerifolia leaf

Deformation and vibration of twig-connected single leaf in wind is investigated experimentally.Results showthat the Reynolds number based on wind speed and lengthof leaf blade is a key parameter to the aerodynamic problem.In case the front surface facing the wind and with an increase of Reynolds number,the leaf experiences static deformation,large amplitude and low frequency sway,reconfiguration to delta wing shape,flapping of tips,high frequencyvibration of whole leaf blade,recovery of delta wing shape,and twig-leaf coupling vibration.Abrupt changes from onestate to another occur at critical Reynolds numbers.In casethe back surface facing the wind,the large amplitude andlow frequency sway does not occur,the recovered delta wingshape is replaced by a conic shape,and the critical Reynoldsnumbers of vibrations are higher than the ones corresponding to the case with the front surface facing the wind.Apair of ram-horn vortex is observed behind the delta wingshaped leaf.A single vortex is found downstream of theconic shaped leaf.A lift is induced by the vortex,and thislift helps leaf to adjust position and posture,stabilize bladedistortion and reduce drag and vibration.     

A mixed method for the creep of a skin layer

ＡＭＩＸＥＤＭＥＴＨＯＤＦＯＲＴＨＥＣＲＥＥＰＯＦＡＳＫＩＮＬＡＹＥＲＨｕａｎｇＬｉ－ｄｕ（黄立独）ＷａｎｇＱｉｎ－ｑｕｅ（汪勤悫）（ＳｈａｎｇｈａｉＵｎｉｖｅｒｓｉｔｙ,Ｓｈａｎｇｈａｉ）ＭａｋＦａｋ－ｔａｔＡｒｔｈｕｒ（麦福达）（ＨｏｎｇＫｏｎｇ...     

An axiomatics of geomechanics

ＡＮＡＸＩＯＭＡＴＩＣＳＯＦＧＥＯＭＥＣＨＡＮＩＣＳＣｈｅｎＺｈｅｎｇ－ｈａｎ（陈正汉）（ＬａｇｉｓｌｉｃａｌＥｎｇｉｎｅｅｒｉｎｇＵｎｉｖｅｒｓｉｔｙ,Ｃｈｏｎｇｑｉｎｇ）（ＲｅｃｅｉｖｅｄＦｅｂ．２１．１９９４;ＣｏｍｍｕｎｉｃａｔｅｄｂｙＪｉａ...     

Free vibration and stability of moderate-thick cantilever plates

ＦＲＥＥＶＩＢＲＡＴＩＯＮＡＮＤＳＴＡＢＩＬＩＴＹＯＦＭＯＤＥＲＡＴＥ－ＴＨＩＣＫＣＡＮＴＩＬＥＶＥＲＰＬＡＴＥＳＺｈａｎｇＹｉｎ－ｙｉ（张音翼）（ＩｎｓｔｉｔｕｔｅｏｆＥｎｇｉｎｅｅｒｉｎｇＭｅｃｈａｎｉ,ＮａｎｃｈａｎｇＵｎｉｖｅｒｓｉｔｙ,Ｎａ...     

Bending integral expressions of a cylinder with cracks

ＢＥＮＤＩＮＧＩＮＴＥＧＲＡＬＥＸＰＲＥＳＳＩＯＮＳＯＦＡＣＹＬＩＮＤＥＲＷＩＴＨＣＲＡＣＫＳＷａｎｇＸｉａｏ－ｃｈｕｎ（王晓春）（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃｓ,ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ,Ｂｅｉｊｉｎｇ）（ＲｅｃｅｉｖｅｄＮｏｔ...     

Experimental investigation on flow modes of electrospinning

Electrospinning experiments are performed byusing a set of experimental apparatus,a stroboscopic systemis adopted for capturing instantaneous images of the conejet configuration.The cone and the jet of aqueous solutionsof polyethylene oxide(PEO) are formed from an orifice of acapillary tube under the electric field.The viscoelastic constitutive relationship of the PEO solution is measured anddiscussed.The phenomena owing to the jet instability aredescribed,five flow modes and corresponding structures areobtained with variations of the fluid flow rate Q,the electricpotential U and the distance h from the orifice of the capillary tube to the collector.The flow modes of the cone-jetconfiguration involves the steady bending mode,the rotating bending mode,the swinging rotating mode,the blurringbending mode and the branching mode.Regimes in the Q-Uplane of the flow modes are also obtained.These results mayprovide the fundamentals to predict the operating conditionsexpected in practical applications.     

Relativistic absoluteness of time-space-moving mass

ＲＥＬＡＴＩＶＩＳＴＩＣＡＢＳＯＬＵＴＥＮＥＳＳＯＦＴＩＭＥ－ＳＰＡＣＥ－ＭＯＶＩＮＧＭＡＳＳＣｈｉｎＹｕａｎｓｈｕｎ（秦元勋）（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓＡｃａｄｅｍｉａＳｉｎｉｃａＣｈｉｎａ,Ｂｅｉｊｉｎｇ１０００...     

A STUDY OF THE ELASTO－PLASTIC AXIALLY TENSILE PROPERTIES OF METAL MATRIX COMPOSITES WITH FIBER－END DEBONDING

ＡＳＴＵＤＹＯＦＴＨＥＥＬＡＳＴＯ－ＰＬＡＳＴＩＣＡＸＩＡＬＬＹＴＥＮＳＩＬＥＰＲＯＰＥＲＴＩＥＳＯＦＭＥＴＡＬＭＡＴＲＩＸＣＯＭＰＯＳＩＴＥＳＷＩＴＨＦＩＢＥＲ－ＥＮＤＤＥＢＯＮＤＩＮＧＳｕＸｉａｏｆｅｎｇ（苏晓风）ＣｈｅｎＨａｏｒａｎ（陈浩然）（...     

Axial vibration analysis of nanocones based on nonlocal elasticity theory

Carbon nanocones have quite fascinating electronic and structural properties,whose axial vibration is seldom investigated in previous studies.In this paper,based ona nonlocal elasticity theory,a nonuniform rod model is applied to investigate the small-scale effect and the nonuniformeffect on axial vibration of nanocones.Using the modifiedWentzel-Brillouin-Kramers(WBK) method,an asymptoticsolution is obtained for the axial vibration of general nonuniform nanorods.Then,using similar procedure,the axial vibration of nanocones is analyzed for nonuniform parameters,mode number and nonlocal parameters.Explicit expressionsare derived for mode frequencies of clamped-clamped andclamped-free boundary conditions.It is found that axial vibration frequencies are highly overestimated by the classicalrod model because of ignorance of the effect of small lengthscale.     

Interstitial fluid flow: simulation of mechanical environment of cells in the interosseous membrane

In vitro experiments have shown that subtle fluid flow environment plays a significant role in living biological tissues,while there is no in vivo practical dynamical measurement of the interstitial fluid flow velocity.On the basis of a new finding that capillaries and collagen fibrils in the interosseous membrane form a parallel array,we set up a porous media model simulating the flow field with FLUENT software,studied the shear stress on interstitial cells’ surface due to the interstitial fluid flow,and analyzed the effect of flow on protein space distribution around the cells.The numerical simulation results show that the parallel nature of capillaries could lead to directional interstitial fluid flow in the direction of capillaries.Interstitial fluid flow would induce shear stress on the membrane of interstitial cells,up to 30 Pa or so,which reaches or exceeds the threshold values of cells’ biological response observed in vitro.Interstitial fluid flow would induce nonuniform spacial distribution of secretion protein of mast cells.Shear tress on cells could be affected by capillary parameters such as the distance between the adjacent capillaries,blood pressure and the permeability coefficient of capillary’s wall.The interstitial pressure and the interstitial porosity could also affect the shear stress on cells.In conclusion,numerical simulation provides an effective way for in vivo dynamic interstitial velocity research,helps to set up the vivid subtle interstitial flow environment of cells,and is beneficial to understanding the physiological functions of interstitial fluid flow.     

On elastocapillarity: A review

Elastocapillary phenomena involving elastic deformation of solid structures coupled with capillary effects of liquid droplets/films can be observed in a diversity of fields,e.g.,biology and microelectromechanical systems(MEMS).Understanding the physical mechanisms underlying these phenomena is of great interest for the design of new materials and devices by utilizing the effects of surface tension at micro and nano scales.In this paper,some recent developments in the investigations on elastocapillary phenomena are briefly reviewed.Especially,we consider the deformation,adhesion,self-assembly,buckling and wrinkling of materials and devices induced by surface tensions or capillary forces.The main attention is paid to the experimental results of these phenomena and the theoretical analysis methods based on continuum mechanics.Additionally,the applications of these studies in the fields of MEMS,micro/nanometrology,and biomimetic design of advanced materials and devices are discussed.     

The integration methods of Vacco dynamics equation of nonlinear nonholonomic system

ＴＨＥＩＮＴＥＧＲＡＴＩＯＮＭＥＴＨＯＤＳＯＦＶＡＣＣＯＤＹＮＡＭＩＣＳＥＱＵＡＴＩＯＮＯＦＮＯＮＬＩＮＥＡＲＮＯＮＨＯＬＯＮＯＭＩＣＳＹＳＴＥＭＬｕｏＳｈａｏｋａｉ（罗绍凯）（ＲｃｅｅｉｖｅｄＡｕｇ．２．１９９３：ｃｏｍｍｕｎｉｃａｔｅｄｂｙＷａｎ...     

CENTRIFUGAL INERTIA EFFECTS OF THE FLUID FLOW BETWEEN STEPPED SPHERICAL SURFACES

ＣＥＮＴＲＩＦＵＧＡＬＩＮＥＲＴＩＡＥＦＦＥＣＴＳＯＦＴＨＥＦＬＵＩＤＦＬＯＷＢＥＴＷＥＥＮＳＴＥＰＰＥＤＳＰＨＥＲＩＣＡＬＳＵＲＦＡＣＥＳＬｉｕＺｈｉｅｎ－ｂｅｉ（刘震北）（ＨａｒｈｉｎＩｎｓｔｉｔｕｔｅｏｆｔｅｃｈｎｏｌｏｇｙ．Ｈａｒｂｉｎ）（Ｒ...     

Experimental and simulation optimization analysis of the Whipple shields against shaped charge

Occasionally,the Whipple shields are used for the protection of a space station and a satellite against the meteoroids and orbital debris.In the Whipple shields each layer of the shield depletes part of high speed projectile energy either by breaking the projectile or absorbing its energy.Similarly,this investigation uses the Whipple shields against the shaped charge to protect the light armour such as infantry fighting vehicles with a little modification in their design.The unsteady multiple interactions of shaped charge jet with the Whipple shield package against the steady homogeneous target is scrutinized to optimize the shield thickness.Simulations indicate that the shield thickness of 0.75 mm offers an optimum configuration against the shaped charge.Experiments also support this evidence.     

Numerical analysis of added mass and damping of floating production, storage and offloading system

An integral equation approach is utilized to investigate the added mass and damping of floating production,storage and offloading system(FPSO system).Finite water depth Green function and higher-order boundary element method are used to solve integral equation.Numerical results about added mass and damping are presented for odd and even mode motions of FPSO.The results show robust convergence in high frequency range and can be used in wave load analysis for FPSO designing and operation.     

A comparison of electromigration failure of metal lines with fracture mechanics

Atoms constructing an interconnecting metal linein a semiconductor device are transported by electron flowin high density.This phenomenon is called electromigration,which may cause the line failure.In order to characterize theelectromigration failure,a comparison study is carried outwith some typical phenomena treated by fracture mechanicsfor thin and large structures.An example of thin structures,which have been treated by fracture mechanics,is silica optical fibers for communication systems.The damage growth ina metal line by electromigration is characterized in comparison with the crack growth in a silica optical fiber subjectedto static fatigue.Also a brief comparison is made betweenthe electromigration failure and some fracture phenomena inlarge structures.