A unified theory of thermoviscoplasticity of crystalline solids

A unified theory of thermoviscoplasticity of crystalline solids is presented. In particular it is shown that a thermodynamics for ‘viscoplastic’ materials can be accommodated within the framework of modern mechanics of materials with memory. The basic physical concepts are derived from the consideration of dislocation behaviour of crystalline solids. Relationships of the present approach to several of the existing theories of plasticity are examined.     

The diffractographic strain gage

A method for measuring strain using diffraction of light from a single aperture is described, and results of a comparison tensile test with an electrical-resistance strain gage are presented. The “diffractographic strain gage” is shown to have high sensitivity, linearity, accuracy and temperature compensation and the ability to operate in a variety of hostile environments. It is furthermore simple, inexpensive, and the data can be collected by eye without assistance from further instrumentation.     

Radiation from an electric dipole in the presence of a corrugated cylinder

Summary A solution is outlined for the problem of an electric dipole which is located outside and parallel to the axis of a circular cylinder fo infinite length. The corrugated surface of the cylinder is assumed to be described by an anisotropic boundary impedance which specifies the ratios of the tangential electric and magnetic fields. It is shown that, in general, the radiated field is elliptically polarized.     

Optimal solenoidal interpolation of turbulent vector fields: application to PTV and super-resolution PIV

A new approach for the interpolation of a filtered turbulence velocity field given random point samples of unfiltered turbulence velocity data is described. In this optimal interpolation method, the best possible value of the interpolated filtered field is obtained as a stochastic estimate of a conditional average, which minimizes the mean square error between the interpolated filtered velocity field and the true filtered velocity field. Besides its origins in approximation theory, the optimal interpolation method also has other advantages over more commonly used ad hoc interpolation methods (like the adaptive Gaussian window). The optimal estimate of the filtered velocity field can be guaranteed to preserve the solenoidal nature of the filtered velocity field and also the underlying correlation structure of both the filtered and the unfiltered velocity fields. The a posteriori performance of the optimal interpolation method is evaluated using data obtained from high-resolution direct numerical simulation of isotropic turbulence. Our results show that for a given sample data density, there exists an optimal choice of the characteristic width of cut-off filter that gives the least possible relative mean square error between the true filtered velocity and the interpolated filtered velocity. The width of this optimal filter and the corresponding minimum relative error appear to decrease with increase in sample data density. Errors due to the optimal interpolation method are observed to be quite low for appropriate choices of the data density and the characteristic width of the filter. The optimal interpolation method is also seen to outperform the adaptive Gaussian window, in representing the interpolated field given the data at random sample locations. The overall a posteriori performance of the optimal interpolation method was found to be quite good and hence makes a potential candidate for use in interpolation of PTV and super-resolution PIV data.     

Nonpremixed flame control with microjets

The hydrodynamic control of buoyant nonpremixed flames is investigated by injecting high-momentum fluid through a central microjet. The resulting flame characteristics are mapped for jets of different strengths. The flame height decreases linearly with an increase in the microjet Froude number as the flow changes from a buoyancy-dominated to a momentum-controlled regime. The flame luminosity is reduced by injecting stronger microjets. The jets alter the flame structure by establishing strong entrainment of the ambient air from the quiescent surroundings. The introduction of an inert species as the microjet fluid has a similar qualitative effect as air. Microjet assistance is as effective as partial premixing for reducing the flame height and luminosity.     

Solution of problems involving the stress state of composite materials with curved layers in the geometrically nonlinear statement

Mechanics Institute, Academy of Sciences of the Ukraine, Kiev. Institute of Mathematics and Mechanics, Academy of Sciences of the Azerbaijan Republic, Baku. Translated from Prikladnaya Mekhanika, Vol. 28, No. 6, pp. 3–8, June, 1992.     

A simple slurry consolidometer designed for the estimation of the consistency limits of soils

An inexpensive slurry consolidometer design is described that uses porous polyethylene as the permeable barrier for sample dewatering (maximum effective stress of 200 kPa) and permits monitoring of sample pore-water pressures less than 100 kPa with a portable pressure transducer. The instrument is applied in this study to the consolidation-based estimation of the Atterberg soil consistency limits of both agricultural soils and till and glaciolacustrine materials (clay fraction predominantly Ca-saturated illites) sampled from sonic boreholes. All soils originated from southwestern Ontario, Canada. With the normally consolidated (virgin) compression line expressed as a w(logσ') function, the A.S.T.M. liquid and plastic limits of the borehole soils were found to occupy relatively fixed positions on the VCL at mean effective stresses of about 61 kPa and 0.42 MPa, respectively. Marginally plastic and non-plastic soils could be distinguished as having compression line slopes approaching zero. The effective stress at the liquid limit decreased logarithmically from 61 kPa with increasing organic carbon content in the agricultural soils. Consolidated slurries of all soils investigated that were clearly plastic exhibited a mean drop-cone penetration depth of approximately 13 mm at the A.S.T.M. liquid limit, a significant departure from the British Standard of 20 mm. Slurry consolidation can be used as a sample preparation method for measurement of the liquid limit by the drop-cone or one-point A.S.T.M. procedures. It has also shown potential as a procedural alternative for the estimation of both test indices, mostly for geotechnical applications. It is probable that this unified test protocol must be recalibrated for soils where the dominant clay minerals and saturating bases are different from those in this study.     

Interaction between the effects of local and overall imperfections on the buckling of elastic columns

A. van derNeut has studied the buckling of elastic columns made from thin-walled members, with particular reference to the effects of imperfections. In this paper, a graphical method is used to extend his work and to make an exhaustive study of the combined effects of both ‘local’ and ‘overall’ imperfections. The resulting picture is remarkably simple, and the effects of imperfections are well described by the celebrated Perry formula in conjunction with a single imperfection parameter compounding simply the local and overall imperfections. Experiments on small-scale rubber model columns substantiate the main results of the theoretical analysis.     

The experimental determination of velocity distribution in annular flow

In the study of the flow of a fluid through an annular gap, the outer surface of which is stationary while the inner surface may be rotated, it is necessary to be able to accurately determine the velocity profiles obtaining in the axial, tangential, and radial directions of flow.

A method is described for this purpose employing hot-wire anemometry techniques and typical profiles are presented for each of the above flow directions. In the case of pure axial flow, a comparison is made between experimental and theoretical results, showing a close correspondence.     

Recoil in macromolecular solutions according to rigid dumbbell kinetic theory

A macromolecular solution is represented by the simple model of rigid dumbbells suspended in a Newtonian fluid with Brownian motion included. Hydrodynamic interaction is not taken into account. It is found that for this model there will be recoil after the cessation of steady shearing flow. The ultimate shear recovery S _∞ is developed as a power series in κ^?, the shear rate prior to the cessation of the steady shear flow: $$S_\infty = (\theta _0 /2\eta _0 ) \kappa ^\user1{ - } + O(\kappa ^\user1{ - } )^3$$ where η₀ and θ₀ values of the viscosity and primary normal stress functions respectively at zero-shear rate. The coefficient of the term in (κ^?)³ is calculated. In addition, the behavior of the normal stresses during the recoil process is found; during recoil τ₂₂?τ₃₃ has the opposite sign from τ₁₁?τ₂₂.