Evolution of microscopic cracks and pores in solids under loading

Experimental data on the development and partial healing of microscopic cracks and pores in loaded crystalline materials are considered. An analysis of the data indicates that fracture development has a number of specific features depending on the state of the materials and the testing conditions and is a kinetic thermal fluctuation process occurring virtually throughout the entire time of loading.     

Elastic wave propagation and scattering in solids with uniaxially aligned cracks

In this article, elastic wave propagation and scattering in a solid medium permeated by uniaxially aligned penny-shaped microcracks are studied. The crack alignment refers to the case in which the unit normals of all cracks are randomly oriented within a plane of isotropy. The analysis is restricted to the limit of the noninteraction approximation among individual cracks. Explicit expressions for attenuations and wave speeds of the shear horizontal, quasilongitudinal, and quasishear vertical waves are obtained using stochastic wave theory in a generalized dyadic approach. The ensemble average elastic wave response is governed by the Dyson equation, which is solved in terms of the anisotropic elastic Green's dyadic. The analysis of expressions is limited to frequencies below the geometric optics limit. The resulting attenuations are investigated in terms of the directional, frequency, and damage dependence. In particular, the attenuations are simplified considerably within the low frequency Rayleigh regime. Finally, numerical results are presented and discussed in terms of the relevant dependent parameters.     

取向玻璃体系中分子之间取向关联的模型化及其模拟与分析

提出了一个描述取向玻璃系统中分子间取向关联的有效键模型.基于该模型对该系统中分子之间取向关联的拓扑结构进行了计算机模拟.结果表明当成键概率较小时,成键分子大部分以分子串的形式出现,并基于概率分析对此现象进行了解释.深入地,用分子串模型对模拟结果进行了分析,并且基于分析结果讨论了分子串模型的合理性和可行性. 关键词： 玻璃化转变 取向玻璃 拓扑结构 分子串模型     

Three-dimensional vibrations of cylindrical elastic solids with V-notches and sharp radial cracks

This paper provides free vibration data for cylindrical elastic solids, specifically thick circular plates and cylinders with V-notches and sharp radial cracks, for which no extensive previously published database is known to exist. Bending moment and shear force singularities are known to exist at the sharp reentrant corner of a thick V-notched plate under transverse vibratory motion, and three-dimensional (3-D) normal and transverse shear stresses are known to exist at the sharp reentrant terminus edge of a V-notched cylindrical elastic solid under 3-D free vibration. A theoretical analysis is done in this work utilizing a variational Ritz procedure including these essential singularity effects. The procedure incorporates a complete set of admissible algebraic-trigonometric polynomials in conjunction with an admissible set of “edge functions” that explicitly model the 3-D stress singularities which exist along a reentrant terminus edge (i.e., α>180°) of the V-notch. The first set of polynomials guarantees convergence to exact frequencies, as sufficient terms are retained. The second set of edge functions—in addition to representing the corner stress singularities—substantially accelerates the convergence of frequency solutions. This is demonstrated through extensive convergence studies that have been carried out by the investigators. Numerical analysis has been carried out and the results have been given for cylindrical elastic solids with various V-notch angles and depths. The relative depth of the V-notch is defined as (1−c/a), and the notch angle is defined as (360°−α). For a very small notch angle (1° or less), the notch may be regarded as a “sharp radial crack.” Accurate (four significant figure) frequencies are presented for a wide spectrum of notch angles (360°−α), depths (1−c/a), and thickness ratios (a/h for plates and h/a for cylinders). An extended database of frequencies for completely free thick sectorial, semi-circular, and segmented plates and cylinders are also reported herein as interesting special cases. A generalization of the elasticity-based Ritz analysis and findings applicable here is an arbitrarily shaped V-notched cylindrical solid, being a surface traced out by a family of generatrix, which pass through the circumference of an arbitrarily shaped V-notched directrix curve, r(θ), several of which are described for future investigations and close extensions of this work.     

Angular distribution of photoelectrons emitted from solids

The angular distributions of photoelectrons emitted from Cu, Ag and Au foils irradiated by Al Kα X-rays along the surface normal have been measured over a wide range of polar emission angles for different photoelectron lines. The experimental results are compared with analytical predictions based on a solution of the kinetic equation in the transport approximation, and satisfactory agreement is observed. The angular dependence of the photoelectron line intensity has been found to be less anisotropic than that of the differential photoelectric cross section. This effect is due to the elastic collisions that photoelectrons suffer on their way out of the target, and is more pronounced for samples with a high atomic number.     

检测固体内应力分布的热弹新技术

由非线性的热弹理论,建立并求解了在一线热扰动下存在初始应力媒质中的热传导方程和运动方程。并由压电方程,得出耦合在试样背表面的压电换能器的输出电压与初始应力之间的关系式。利用光声和扫描电子声显微镜技术,对铝合金试样上维氏硬度压痕内的残余应力分布进行了实验测定。实验结果成功地揭示了压痕区内存在的交替的弹塑性应力分布,进一步证实了热弹技术是极有应用前景的无损定量评估材料内应力的新技术。     

Determination of the temperature distribution in liquids and solids using holographic interferometry

It is shown that holographic interferometry can be applied to solve two problems: heating of a glass plate by a complex heat source and nonisothermal flow of a submerged jet around a wedge. The process of isolating and numbering the skeletal lines on the interferograms is automated and direct calculations are made of the temperature fields. Zh. Tekh. Fiz. 69, 106–111 (June 1999)     

A multiscale coupling method for the modeling of dynamics of solids with application to brittle cracks

We present a multiscale model for numerical simulations of dynamics of crystalline solids. The method combines the continuum nonlinear elasto-dynamics model, which models the stress waves and physical loading conditions, and molecular dynamics model, which provides the nonlinear constitutive relation and resolves the atomic structures near local defects. The coupling of the two models is achieved based on a general framework for multiscale modeling – the heterogeneous multiscale method (HMM). We derive an explicit coupling condition at the atomistic/continuum interface. Application to the dynamics of brittle cracks under various loading conditions is presented as test examples.     

Effects of fluctuations in the orientational order parameter in the cyanobiphenyl (nCB) homologous series

Photopyroelectric measurements of the anisotropy in the thermal conductivity Deltak vs temperature in the nCB (n=5,ellipsis,9) series are reported. The data have been used to deduce the behavior of the orientational order parameter Q close to the nematic-isotropic (N-I) and smectic A-nematic (A-N) phase transitions, respectively. It has been shown that near the N-I transition the data for 5CB and 6CB are consistent with the so-called "tricritical hypothesis," which predicts beta=0.25. This is not true for 7CB and 8CB in which the order parameter exhibits a behavior that could be caused by the presence of fluctuations that become increasingly important when the transition temperature is approached. A very simple model, which takes into account the contribution of fluctuations to the orientational order, has been developed close to the A-N transition and it has been shown that it is in good agreement with the experimental results. A semiquantitative explanation for the observed behavior in compounds with different nematic range has been also given.     

Analytical estimation of dislocation distribution at the tip of arrested cracks

Computer simulation technique is used for studying the plastic flow at the tip of an arrested crack in lithium fluoride crystals. Two stages of the dislocation structure formation at the tip of a crack are analyzed: the formation of slip lines at the instant of crack arresting, and their evolution after sample unloading and partial healing of the crack. The size and the number of dislocations in a slip line are determined as functions of the loading force at the instant of crack arresting and on frictional stresses. It is shown that, during sample unloading and healing, some dislocations emerge at the plane of the crack under the action of mutual repulsion and image forces, so that the dislocation density attains its maximum value at a distance from the crack tip. A finite region free of dislocations exists in the immediate vicinity of the crack tip.     

Giant strain-sensitivity of acoustic energy dissipation in solids containing dry and saturated cracks with wavy interfaces

Mechanisms of acoustic energy dissipation in heterogeneous solids attract much attention in view of their importance for material characterization, nondestructive testing, and geophysics. Due to the progress in measurement techniques in recent years, it has been revealed that rocks can demonstrate extremely high strain sensitivity of seismoacoustic loss. In particular, it has been found that strains of order 10(-8) produced by lunar and solar tides are capable of causing variations in the seismoacoustic decrement on the order of several percent. Some laboratory data (although obtained for higher frequencies) also indicate the presence of very high dissipative nonlinearity. Conventionally discussed dissipation mechanisms (thermoelastic loss in dry solids, Biot and squirt-type loss in fluid-saturated ones) do not suffice to interpret such data. Here the dissipation at individual cracks is revised taking into account the influence of wavy asperities of their surfaces quite typical of real cracks, which can drastically change the values of the relaxation frequencies and can result in giant strain sensitivity of the dissipation without the necessity of assuming the presence of unrealistically thin (and, therefore, unrealistically soft) cracks. In particular, these mechanisms suggest interpretation for observations of pronounced amplitude modulation of seismo-acoustic waves by tidal strains.     

New thermoelastic technique for detection of residual stress distribution in solids

I.IntroductionNondestructiveeva1uationofstressdistributioninmaterialandmovingor1oadedcompo-nentsisveryimportantinmaterialscienccandengineering.Theultrasonictechnique['l,Ramanspectroscope['l,X-ray['landneutrondiffrac1iontcchnique[4]areusua1lyusedtodetectthestressdistributioninanopaquesample.RecentlytheScanningE1ectronAcousticMicroscopy(SEAM)[s]andphotoacoustictcchniquc[6]havebccnrcportedasncwtechniquetodeterminetheresidualstressdistribution.Itisshownthatthethermalwavealsocanbeusedtomcasure…     

Path distribution of emission electrons with small energy losses in solids

An algorithm for the calculation of both the electron elastic reflectivity and the electron path distribution in a substance is proposed. In the approximation of quasi-elastic electron scattering the energy-loss spectra in the vicinity of the elastic reflection peak, as well as near the Auger and photoelectron lines are considered. For the geometry of a cylindrical mirror analyzer the differential coefficients of 2 keV electrons elastically reflected from the surfaces of 26 elementary substances (4 Z 82) have been studied. The numerical calculations and the experimental data are compared. Formulae useful for processing emission spectra are derived.