Flows around two airfoils performing fling and subsequent translation and translation and subsequent clap

The aerodynamic forces and flow structures of two airfoils performing “fling and subsequent translation“ and “translation and subsequent clap“ are studied by numerically solving the Navier-Stokes equations in moving overset grids. These motions are relevant to the flight of very small insects. The Reynolds number, based on the airfoil chord length c and the translation velocity U, is 17. It is shown that: (1) For two airfoils performing fling and subsequent translation, a large lift is generated both in the fling phase and in the early part of the translation phase. During the fling phase,a pair of leading edge vortices of large strength is generated; the generation of the vortex pair in a short period results in a large time rate of change of fluid impulse, which explains the large lift in this period. During the early part of the translation, the two leading edge vortices move with the airfoils;the relative movement of the vortices also results in a large time rate of change of fluid impulse, which explains the large lift in this part of motion. (In the later part of the translation, the vorticity in the vortices is diffused and convected into the wake.) The time averaged lift coefficient is approximately 2.4 times as large as that of a single airfoil performing a similar motion. (2) For two airfoils performing translation and subsequent clap, a large lift is generated in the clap phase. During the clap, a pair of trailing edge vortices of large strength are generated; again, the generation of the vortex pair in a short period (which results in a large time rate of change of fluid impulse) is responsible for the large lift in this period. The time averaged lift coefficient is approximately 1.6 times as large as that of a single airfoil performing a similar motion. (3) When the initial distance between the airfoils (in the case of clap, the final distance between the airfoils) varies from 0.1 to 0.2c, the lift on an airfoil decreases only slightly but the torque decreases greatly. When the distance is about lc， the interference effects between the two airfoils become very small.     

Calculation of friction and heat and mass exchange on rough permeable plane and axisymmetric bodies

The most effective methods of thermal shielding are characterized by the presence of a normal component of the velocity on the wall. They include porous cooling and the use of ablated coverings. If the heat-shielding materials have a granulated microstructure, their thermal expansion leads to roughness of the surface, as in the case of porosity of the wall. The present paper presents an integral method for calculating the drag and heat and mass transfer to a rough permeable surface in the case of a gradient flow of a compressible reacting gas.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 37–46, September–October, 1979.It is a pleasure to thank J. A. Schetz, who kindly sent tables of his experimental data, and also E. G. Zaulichny for discussing the work.     

Non-normality and bifurcation in plane strain tension and compression

The bifurcations of a rectangular block subject to plane strain tension or compression are investigated. The block material is taken to be incompressible and is characterized by an incrementally linear constitutive law for which “normality” does not necessarily hold. The consequences of non-normality regarding bifurcation are given primary emphasis here. The characteristic regimes of the governing equations (elliptic, parabolic and hyperbolic) are detennined. In each of these regimes both symmetric and antisymmetric diffuse bifurcation modes are available. Additionally, in the hyperbolic and parabolic regimes, bifurcation into a localized shear band mode is also possible. Particular attention is given to the limiting cases of long wavelength and soon wavelength diffuse bifurcation modes. The range of parameter values is identified for which bifurcation into some localized mode may precede bifurcation into a long wavelength diffuse mode. Some difficulties associated with employing a linear incremental solid in a bifurcation analysis, when primary interest is in the bifurcation of an underlying elastic-plastic solid, are also discussed.     

Displacement fields and self-energies of circular and polygonal dislocation loops in homogeneous and layered anisotropic solids

There are large classes of materials problems that involve the solutions of stress, displacement, and strain energy of dislocation loops in elastically anisotropic solids, including increasingly detailed investigations of the generation and evolution of irradiation induced defect clusters ranging in sizes from the micro- to meso-scopic length scales. Based on a two-dimensional Fourier transform and Stroh formalism that are ideal for homogeneous and layered anisotropic solids, we have developed robust and computationally efficient methods to calculate the displacement fields for circular and polygonal dislocation loops. Using the homogeneous nature of the Green tensor of order −1, we have shown that the displacement and stress fields of dislocation loops can be obtained by numerical quadrature of a line integral. In addition, it is shown that the sextuple integrals associated with the strain energy of loops can be represented by the product of a pre-factor containing elastic anisotropy effects and a universal term that is singular and equal to that for elastic isotropic case. Furthermore, we have found that the self-energy pre-factor of prismatic loops is identical to the effective modulus of normal contact, and the pre-factor of shear loops differs from the effective indentation modulus in shear by only a few percent. These results provide a convenient method for examining dislocation reaction energetic and efficient procedures for numerical computation of local displacements and stresses of dislocation loops, both of which play integral roles in quantitative defect analyses within combined experimental–theoretical investigations.     

等差线和等倾线的计算机识别及绘制

在普通光弹仪上配置光电耦合二极管信号采集装置和专用程序计算机,就构成了能实时地处理光弹图象的系统。CCPD-1024成线阵排列,能同时采集模型中一个截面上的光强信号。等色线或等倾线条纹的位置由计算机从光强分布图上读出。CCPD-1024对模型扫描时,计算机记录了各个截面上的等色线和等倾线位置的信息,并据此绘制出反映全场性分布的光弹性条纹图案。     

Dynamic Stability and Random Vibrations of Rigid and Elastic Wheelsets

A stability analysis and vibration studies are presented for a passenger coach model which is equipped with rigid or elastic wheels. The elastic components between wheel rim and disc act as third suspension reducing the unsprung mass and isolating the passenger coach from the high frequency motion of the wheel rim. The vertical and lateral motion by such a design requires a thorough analysis of the system dynamics. The excitation of the vertical vibrations by stochastic track irregularities results in acceleration amplitudes of the carbody that may generate droning noise. A parameter study of spring and damper coefficients of the system with radialelastic wheels leads to considerably reduced droning noise and lower force level between wheel and rail. Furthermore, the eigenmotion of a rigid and an elastic wheelset rolling on a track, the so-called hunting, is investigated. The variation of the spring and damper coefficients shows limits to guarantee the stability of the system.     

Legal and policy issues in genetics and insurance

Genetic screening and testing techniques provide a powerful diagnostic tool for the acquisition of predictive information. The potential value of such diagnostic techniques cannot be overstated. However, commercial organisations such as insurance companies and employers are also highly interested in the acquisition and use of genetic information. Concerns about the potential abuse of genetic information have stimulated a counter-current of public pressure for restrictions on the use which can be made of genetic diagnostic information. In a number of countries this pressure has generated enough concern to stimulate legislatures to enact laws which curtail the use and acquisition of genetic information. This pattern has clearly emerged in the United States of America and there are indications that similar trends are developing in Europe. This paper examines the law and policy issues arising from the interface between genetics and insurance.     

Data-driven modeling and learning in science and engineering

In the past, data in which science and engineering is based, was scarce and frequently obtained by experiments proposed to verify a given hypothesis. Each experiment was able to yield only very limited data. Today, data is abundant and abundantly collected in each single experiment at a very small cost. Data-driven modeling and scientific discovery is a change of paradigm on how many problems, both in science and engineering, are addressed. Some scientific fields have been using artificial intelligence for some time due to the inherent difficulty in obtaining laws and equations to describe some phenomena. However, today data-driven approaches are also flooding fields like mechanics and materials science, where the traditional approach seemed to be highly satisfactory. In this paper we review the application of data-driven modeling and model learning procedures to different fields in science and engineering.     

Evolution and detachment of slowly growing drops and bubbles

The deformation of the free surface is considered for a slowly growing drop or bubble with a horizontal solid wall (either continuous or having a circular hole). The volume at the instant of detachment is determined. It is assumed that the liquid is subject to surface tension and gravitational forces.     

Interaction and coalescence of multiple simultaneous and non-simultaneous blast waves

Interaction of multiple blast waves can be used to direct energy toward a target while simultaneously reducing collateral damage away from the target area. In this paper, simulations of multiple point source explosives were performed and the resulting shock interaction and coalescence behavior were explored. Three to ten munitions were placed concentrically around the target, and conditions at the target area were monitored and compared to those obtained using a single munition. For each simulation, the energy summed over all munitions was kept constant, while the radial distances between target and munitions and the munition initiation times were varied. Each munition was modeled as a point source explosion. The resulting blast wave propagation and shock front coalescence were solved using the inviscid Euler equations of gas dynamics on overlapping grids employing a finite difference scheme. Results show that multiple munitions can be beneficial for creating extreme conditions at the intended target area; over 20 times higher peak pressure is obtained for ten simultaneous munitions compared to a single munition. Moreover, peak pressure at a point away from the target area is reduced by more than a factor of three.     

Instability and friction

A review on the stability analysis of solids in unilateral and frictional contact is given. The presentation is focussed on the stability of an equilibrium position of an elastic solid in frictional contact with a fixed or moving obstacle. The problem of divergence instability and the obtention of a criterion of static stability are discussed first for the case of a fixed obstacle. The possibility of flutter instability is then considered for a steady sliding equilibrium with a moving obstacle. The steady sliding solution is generically unstable by flutter and leads to a dynamic response which can be chaotic or periodic. This dynamic response leads to the generation of stick–slip–separation waves on the contact surface in a similar way as Schallamach waves in statics. Illustrating examples and principal results recently obtained in the literature are reported. Some problems of friction-induced vibration and noise emittence, such as brake squeal for example, can be interpreted in this spirit. To cite this article: Q.S. Nguyen, C. R. Mecanique 331 (2003).     

Nonlinear Spherical Caps and Associated Plate and Membrane Problems

This paper deals with the existence and multiplicity problem of the equilibrium solutions of an elastic spherical cap within nonlinear strain theory. We pose the problem in the form of a three parameter bifurcation problem, one parameter being related to the load, the others to the geometry. When the geometrical parameters are different from zero, the so-called generic case, we revisit the nonuniqueness results, and explore the solutions in the parameter space. Then we analyze the formal limits as the geometrical parameters tend to zero. When the curvature tends to zero, we obtain from the nonlinear shell a von Kármán plate, a new, although natural, result. When the thickness parameter tends to zero, we get a nonlinear membrane problem. A study of the latter gives infinitely many solutions, and we discuss the construction, shapes, and stability in detail. This revised version was published online in August 2006 with corrections to the Cover Date.     

Connection between static electromagnetoelasticity and anisotropic elasticity and its applications

Connection between electromagnetoelasticity and anisotropic elasticity is explored in the state space setting. In the absence of electric charges and currents, the basic equations of static electromagnetoelasticity are formulated into a state equation and an output equation, which bear a remarkable resemblance to the corresponding equations of elasticity. Accordingly, the solutions for various steady-state problems of electromagnetoelasticity can be determined in parallel to their elastic counterparts. For illustration, the generalized plane problems are treated within the context. Exact solutions for the electromagnetoelastic fields in a half-space subjected to line loads and in an infinite plate with an elliptic notch under extension are determined in a simple way.     

Bifurcation and post-bifurcation analysis in plasticity and brittle fracture

A mathematical model for the bifurcation and post-bifurcation behaviour of rate independent systems governed by normality laws is presented. The considered framework encompasses a large class of phenomena, including simple models of brittle fracture, brittle damage and metal plasticity. An associated method of asymptotic development of the bifurcated solution by integer series is discussed and illustrated by simple examples in plastic stability and fracture, i.e. the buckling of some simple elastic-plastic structures and the bifurcation of systems of interacting cracks. The proposed method furnishes a rigorous framework for the study of the bifurcation problem in the context of rate-independent dissipative systems obeying normality laws, using a different approach than the one adopted so far.     

Equations and closure models for material pulverization and debris flow

A transition from interacting continua to a disperse debris flow is numerically simulated using a multi-velocity formulation based on the ensemble phase average. The numerical calculation takes advantage of the recently developed dual domain material point method, which overcomes numerical instabilities, numerical diffusion and mesh distortion issues encountered in other numerical methods in cases of large material deformations. Comparisons with experiments show that the difference between the average of the velocity gradient and the gradient of the average velocity is important. To consider the transition from a continuum motion to a disperse flow, a model for this difference is expressed in terms of the effective plastic strain and the critical strain of the material. Although the model results in excellent comparisons to the experimental results, more work to study the difference and the model is needed for broader applications.     

Averaging and reduction

This paper deals with the averaging method which is the most useful technique for perturbation for a differential system. We show that in reality it is a reduction of the differential system, i.e. the initial system is replaced by a reduced system and a global connection between the two systems is emphasized. This connection is absolutely necessary in order to associate the solutions of the two systems in a structural way. In addition, this new approach (averaging as reduction) provides us with new reduced systems and the method of averaging is thus greatly extended.     

Effects of pressure-sensitivity and plastic dilatancy on void growth and interaction

Hydrostatic stress can affect the non-elastic deformation and flow stress of polymeric materials and certain metallic alloys. This sensitivity to hydrostatic stress can also influence the fracture toughness of ductile materials, which fail by void growth and coalescence. These materials typically contain a non-uniform distribution of voids of varying size-scales and void shapes. In this work, the effects of void shape and microvoid interaction in pressure-sensitive materials are examined via a two-prong approach: (i) an axisymmetric unit-cell containing a single ellipsoidal void and (ii) a plane-strain unit-cell consisting of a single large void and a population of discrete microvoids. The representative material volume in both cases is subjected to physical stress states similar to highly stressed regions ahead of a crack. Results show that oblate voids and microvoid cavitation can severely reduce the critical stress of the material. These effects can be compounded under high levels of pressure-sensitivity. In some cases, the critical stress responsible for rapid void growth is reduced to levels comparable to the yield strength of the material. The contribution of void shape and pressure-sensitivity to the thermal- and moisture-induced voiding phenomenon in IC packages is also discussed.     

Finite torsion and shearing of a compressible and anisotropic tube

The finite deformation of a hyperelastic, compressible and anisotropic tube subjected to torsion, circular and axial shearing is studied. The analysis is carried out for a class of Ogden elastic material and the governing non-linear equations are solved numerically with the Runge–Kutta method. The solution is used to study the effects of a specific material model on the local volume change and the circumferential stretch ratio.