“Deborah Numbers”, Coupling Multiple Space and Time Scales and Governing Damage Evolution to Failure

Two different spatial levels are involved concerning damage accumulation to eventual failure. nucleation and growth rates of microdamage nN* and V*. It is found that the trans-scale length ratio c*/L does not directly affect the process. Instead, two independent dimensionless numbers: the trans-scale one * * ( V*)including the * **5 * N c V including mesoscopic parameters only, play the key role in the process of damage accumulation to failure. The above implies that there are three time scales involved in the process: the macroscopic imposed time scale tim = /a and two meso-scopic time scales, nucleation and growth of damage, (* *4) N N t =1 n c and tV=c*/V*. Clearly, the dimensionless number De*=tV/tim refers to the ratio of microdamage growth time scale over the macroscopically imposed time scale. So, analogous to the definition of Deborah number as the ratio of relaxation time over external one in rheology. Let De be the imposed Deborah number while De represents the competition and coupling between the microdamage growth and the macroscopically imposed wave loading. In stress-wave induced tensile failure (spallation) De* < 1, this means that microdamage has enough time to grow during the macroscopic wave loading. Thus, the microdamage growth appears to be the predominate mechanism governing the failure. Moreover, the dimensionless number D* = tV/tN characterizes the ratio of two intrinsic mesoscopic time scales: growth over nucleation. Similarly let D be the “intrinsic Deborah number”. Both time scales are relevant to intrinsic relaxation rather than imposed one. Furthermore, the intrinsic Deborah number D* implies a certain characteristic damage. In particular, it is derived that D* is a proper indicator of macroscopic critical damage to damage localization, like D* ∼ (10–3~10–2) in spallation. More importantly, we found that this small intrinsic Deborah number D* indicates the energy partition of microdamage dissipation over bulk plastic work. This explains why spallation can not be formulated by macroscopic energy criterion and must be treated by multi-scale analysis.

Subsonic interface crack with crack face contact

A steady-state subsonic interface crack propagating between an elastic solid and a rigid substrate with crack face contact is studied. Two cases with respective to the contact length are considered, i.e., semi-infinite and finite crack face contact. Different from a stationary or an open subsonic interface crack, stress singularity at the crack tip in the present paper is found to be non-oscillatory. Furthermore, in the semi-infinite contact case, the singularity of the stress field near the crack tip is less than 1/2. In the finite contact case, no singularity exists near the crack tip, but less than 1/2 singularity does at the end of the contact zone. In both cases, the singularity depends on the linear contact coefficient and the crack speed. Asymptotic solutions near the crack tip are given and analyzed. In order to satisfy the contact conditions, reasonable region of the linear contact coefficient is found. In addition, the solution predicts a non-zero-energy dissipation rate due to crack face contact.

Adiabatic shear localization: occurrence, theories, and applications

Nanoscale periodic corrugation to dimple transition due to "beat" in a bulk metallic glass

We report an intriguing observation that the interaction of brittle nanoscale periodic corrugations (NPCs) can lead to the formation of ductile dimples on the dynamic fracture surface of a tough Vit 1 bulk metallic glass (BMG) under high-velocity plate impact. A “beat” phenomenon due to superposition of simple harmonic vibrations, approximately characterizing NPCs, is proposed to explain this unusual brittle-to-ductile transition. The present results agree well with our previously revealed energy dissipation mechanism in the fracture of BMGs.

Work and energy equations and the principle of generalized effective stress for unsaturated soils

The effective stress principle has been efficiently applied to saturated soils in the soil mechanics and geotechnical engineering practice; however, its applicability to unsaturated soils is still under debate. The appropriate selection of stress state variables is essential for the construction of constitutive models for unsaturated soils. Owing to the complexity of unsaturated soils, it is difficult to determine the deformation and strength behaviors of unsaturated soils uniquely with the previous single-effective-stress variable theory and two-effective-stress-variable theory in all the situations. In this paper, based on the porous media theory, the specific expression of work is proposed, and the effective stress of unsaturated soils conjugated with the displacement of the soil skeleton is further derived. In the derived work and energy balance equations, the energy dissipation in unsaturated soils is taken into account. According to the derived work and energy balance equations, all of the three generalized stresses and the conjugated strains have effects on the deformation of unsaturated soils. For considering these effects, a principle of generalized effective stress to describe the behaviors of unsaturated soils is proposed. The proposed principle of generalized effective stress may reduce to the previous effective stress theory of single-stress variable or the two-stress variables under certain conditions. This principle provides a helpful reference for the development of constitutive models for unsaturated soils.

MODELING EVOLUTION OF INTERNAL WAVES IN SOUTH CHINA SEA

Internal waves are an important factor in the design of drill operations and production in deep water, because the waves have very large amplitude and may induce large horizontal velocity. How the internal waves occur and propagate over benthal terrain is of great concern for ocean engineers. In the present paper, we have formulated a mathematical model of internal wave propagation in a two-layer deep water, which involves the effects of friction, dissipation and shoaling, and is capable of manifesting the variation of the amplitude and the velocity pattern. After calibration by field data measured at the Continental Slope in the Northern South China Sea, we have applied the model to the South China Sea, investigating the westward propagation of internal waves from the Luzon Strait, where internal waves originate due to the interaction of benthal ridge and tides. We find that the internal wave induced velocity profile is obviously characterized by the opposite flow below and above the pycnocline, which results in a strong shear, threatening safety of ocean structures, such as mooring system of oil platform, risers, etc. When internal waves propagate westwards, the amplitude attenuates due to the effects of friction and dissipation. The preliminary results show that the amplitude is likely to become half of its initial value at Luzon Strait when the internal waves propagate about 400 kilometers westwards.

Intense laser beam guiding in self-induced electron cavitation channel in underdense plasmas

In underdense plasmas, the transverse ponderomotive force of an intense laser beam with Gaussian transverse profile expels electrons radially, and it can lead to an electron cavitation. An improved cavitation model with charge conservation constraint is applied to the determination of the width of the electron cavity. The envelope equation for laser spot size derived by using source-dependent expansion method is extended to including the electron cavity. The condition for self-guiding is given and illuminated by an effective potential for the laser spot size. The effects of the laser power, plasma density and energy dissipation on the self-guiding condition are discussed.

Influence of temperature and salinity fluctuations on propagation behaviour of partially coherent beams in oceanic turbulence

A theoretical study of the behaviour of partially coherent beams propagating through oceanic turbulence has been performed. Based on the previously developed knowledge of beam spreading of a partially coherent beam in the atmosphere and the spatial power spectrum of the refractive index of ocean water, we study the normalized root-mean-square width of a partially coherent beam on propagation through oceanic turbulence and its turbulence distance which may be a measure of turbulence resistance. Our analysis indicates that the behaviour of partially coherent beams on propagation may be described by the rate of dissipation of the mean-squared temperature chi(T) and that of salinity chi(S). In terms of a quantity w that defines the contributions of the temperature and salinity distributions to the distribution of the refractive index, chi(S) could be written as a function of chi(T) and w. Therefore, the behaviour of partially coherent beams on propagation can be characterized only by chi(T) for a given w. The results are shown for curved surfaces, from which one can see that partially coherent beams exhibit robust turbulence resistance when the water volume has a smaller chi(T).

Wavefront measurement of double-clad pulsed ytterbium fiber laser

Because of high efficiencies, compact structure, and excellent heat dissipation, high-power fiber lasers are extremely useful for applications such as cutting, welding, precision drilling, trimming, sensing, optical transmitter, material processing, micromachining, and so on. However, the wavefront of the double clad fiber laser doped with ytterbium is still unknown. In this paper, wavefront of a fiber laser is measured and the traditional Hartmann-shack wavefront sensing method is adopted. We measured a double clad fiber laser doped with ytterbium which produces pulse wave output at infrared wavelength. The wavefront shape and contour are reconstructed and the result shows that wavefront is slightly focused and not an ideal plane wavefront. Wavefront measurement of fiber laser will be useful to improving the lasers' performance and developing the coherent technique for its applications.

千瓦级双包层光纤激光器冷却方案设计理论和实验研究

尽管双包层光纤激光器的散热性能好于传统的固体激光器的散热性能,光纤激光器中的热沉积仍然是限制提高其输出功率的重要因素.以双端抽运的400W双包层光纤激光器为实例,定量分析了光纤内的热沉积分布.根据所建立的散热模型,为了确保千瓦级双包层光纤激光器安全稳定的运行,抽运端附近的对流换热系数应大于2.8×10-2W·cm-2K-1.据此设计出高功率双包层光纤激光器抽运端冷却装置并成功应用在激光系统中,获得了千瓦级的激光输出.

浑善达克沙地榆树树干液流动态研究

本文应用Granier热扩散技术对内蒙古浑善达克沙地榆树疏林林分进行树干液流通量研究，分别选择胸径大小占林分80%以上林木的三种胸径级（15-25cm，25-35cm，35-45cm）榆树样树各三株，应用Granier探针进行每隔15min的树干液流测定，同步测定林分环境因子，包括空气温度、相对湿度、土壤温度、土壤湿度、光合有效辐射、风速等10余个环境因子，在生长季节进行了5个月的测定，详细研究和分析了榆树树杆液流特征，其中包括昼夜变化趋势和规律、不同天气状况下的液流密度变化特点以及在生长季不同时期的液流密度变化规律，阐述了不同胸径级榆树树干液流变化特征。同时利用连续获得的树干液流通量与环境因子数据，分析了树干液流通量与环境因子的关系，阐明不同时期影响树干液流通量变化的主导因素，以及树干液流密度对环境因子的响应规律。并通过钻取样地内的树木生长年轮芯测定了榆树不同径级的边材面积，建立边材和胸径的关系方程，估算了不同胸径林分的边材面积以及冠层蒸腾的季节动态。 在晴朗的白天，不同胸径级榆树的树干液流密度变化曲线均呈单峰曲线，只是峰值持续的时间不同。不同胸径级榆树树干液流密度变化具有明显的昼夜节律性。在生长季结束后液流并不是马上停止，而是有微弱的波动。阴雨天液流密度变化曲线均不规则且液流密度值较小，甚至出现多峰曲线，而且峰值明显;液流密度的变化出现较大的波动性，夜间却有液流发生，而且值较晴天的夜间液流密度稍大。 林分不同胸径级榆树树干大径级木、中径级木和小径级木液流通量特征表现为: 榆树大径级木液流密度的峰值大于中等木，中等木峰值大于小径级木，差异明显;大径级木由于年龄较大，液流密度曲线变化平缓，没有明显的峰值，呈弧形曲线; 而且不同年龄的树木反映差别比较大，但是总体趋势还是受胸径的影响。 随季节推移生长季各月份液流密度均值基本逐渐减小，进入生长季末期(10月)基本处于微弱波动状态。液流通量月平均值最大值一般都出现在6-8月，大径级木、中径级木和小径级木各月液流通量变化差异较大。日液流通量比较分析得出，大径级木日液流通量最大值分别为394.53，中径级木为66.04，小径级木为63.56 kg∙ d-1。综合分析对不同胸径树木影响较大的环境因子为VPD，PAR，Ta; 但是在不同生长季节，对不同类型树木起主要作用的环境因子也不尽相同，但是PAR与VPD是其中基本主要起作用的两个因子。 通过建立边材与胸径的关系方程，得出边材和胸径关系(R2=0.99)。通过经验公式计算得出，林分生长期的蒸腾耗水量相当于2.24mm/day, 低于当地同期降雨量2.78mm/day.

青藏高原几种植物的光合特性研究

通过气体交换、荧光猝灭动力学以及反射光谱等技术研究了两个青稞（Hordeum vulgare L.）品种的光合特性及激发能分配。结果表明，青稞的光饱和点1000 μmol m-2 s-1左右。在0～500 μmol m-2 s-1的光强范围里，青稞叶片的光呼吸(Pr)随着光强升高而增加;光强超过500 μmol m-2 s-1以后，光呼吸变化不明显。光呼吸占总光合的比例(Pr/Pm)随光强增强下降。随着光强增强，PSⅡ有效光化学量子效率（Fv′/Fm′），PSⅡ反应中心的实际光化学量子效率（ΦPSⅡ），光化学猝灭系数（qP）不断降低而青稞叶片的非光化学猝灭(NPQ)不断升高，说明越来越多的光能以热耗散的形式耗散掉。光谱分析表明△PRI 随着青稞叶片暴露于光下的时间迅速增大。因此，我们认为光呼吸不是青稞主要的光破坏防御机制，依赖叶黄素循环的热耗散可能是田间青稞耗散过剩光能的主要途径。 通过气体交换、荧光猝灭动力学等技术研究了四种乔木在拉萨和那曲的光合特性及激发能分配。结果表明，四种乔木藏川杨（Populus szechuanica var. tibetica schneid.），银白杨（Populus alba L.），左旋柳(Salix paraplesia var. subintegra C. Wang et P. Y. Pu)，墨竹柳(Salix maizhokunggarensis N. Chao)在拉萨市的光合速率（Pn），叶片气孔导度（Gs），蒸腾速率（Tr）均显著高于那曲。藏川杨和墨竹柳的光下实际光化学效率（ΦPSⅡ）在拉萨显著高于那曲，银白杨和左旋柳的光下实际光化学效率在拉萨和那曲没有显著差异。四种乔木开放反应中心激发能捕获效率（Fv′/Fm′）和天线热耗散（1－Fv′/Fm′）在拉萨和那曲的差异不显著。测量光合时的气温（Tair）拉萨显著高于那曲，除墨竹柳外叶温（Tleaf）也显著高于那曲，墨竹柳的上述两参数在两地间无显著差异。除藏川杨外其余三种乔木在拉萨的胞间二氧化碳浓度（Ci）显著高于那曲，气孔限制值(Ls)显著低于那曲，藏川杨的上述两指标在两地间无显著差异。除墨竹柳外，其余三种乔木在两地的光合（Pn）与叶温（Tleaf）成显著正相关。对银白杨和左旋柳来说，低叶温通过降低气孔导度（Gs）从而降低胞间二氧化碳浓度（Ci）是造成那曲光合低的主要因素之一。对于墨竹柳来说，可能有其他非温度的环境条件影响其气孔导度进而造成气孔限制。此外，叶温可能主要通过非气孔限制来影响藏川杨的光合速率。因此，我们认为在西藏地区不同乔木对海拔高度的响应机制可能不同，但具体机制还需要进一步研究。

Effects of tetrabrominated diphenyl ether and hexabromocyclododecanes in single and complex exposure to hepatoma HepG2 cells

This study was designed to determine cytotoxic effects of PBDE-47 and HBCDs individually or with a mixture of both compounds exposure to Hep G2 cells. The results showed PBDE-47 and HBCDs induced increase of nitric oxide synthase (NOS) activity, release of NO. dissipation of mitochondria membrane potential and cell apoptosis. Exposure to HBCDs induced ROS formation. Moreover, preincubation with PTIO (NO scavanger) and N-acetylcysteine (ROS scavanger) partially reversed cytotoxic effects of these compounds. The possible mechanism is that PBDE-47 and HBCDs could boost generation of NO and/or ROS, impact mitochondria, and result in start-ups of apoptosis program. Cells exposed to mixture of both compounds and each of them showed non-apoptotic rate significant difference, but the combination of them caused more adverse effects on cells. These results Suggest that PBDE-47 and HBCDs in single and complex exposure have the cytotoxic activity of anti-proliferation and induction of apoptosis in tumor cells in vitro. (C) 2008 Elsevier B.V. All rights reserved.

Effect of surface treatment of GaN based light emitting diode wafers on the leakage current of light emitting diode devices

To form low-resistance Ohmic contact to p-type GaN, InGaN/GaN multiple quantum well light emitting diode wafers are treated with boiled aqua regia prior to Ni/Au (5 nm/5 nm) film deposition. The surface morphology of wafers and the current-voltage characteristics of fabricated light emitting diode devices are investigated. It is shown that surface treatment with boiled aqua regia could effectively remove oxide from the surface of the p-GaN layer, and reveal defect-pits whose density is almost the same as the screw dislocation density estimated by x-ray rocking curve measurement. It suggests that the metal atoms of the Ni/Au transparent electrode of light emitting diode devices may diffuse into the p-GaN layer along threading dislocation lines and form additional leakage current channels. Therefore, the surface treatment time with boiled aqua regia should not be too long so as to avoid the increase of threading dislocation-induced leakage current and the degradation of electrical properties of light emitting diodes

An ultra-low power CMOS random number generator

This paper proposes an ultra-low power CMOS random number generator (RING), which is based on an oscillator-sampling architecture. The noisy oscillator consists of a dual-drain MOS transistor, a noise generator and a voltage control oscillator. The dual-drain MOS transistor can bring extra-noise to the drain current or the output voltage so that the jitter of the oscillator is much larger than the normal oscillator. The frequency division ratio of the high-frequency sampling oscillator and the noisy oscillator is small. The RNG has been fabricated in a 0.35 mu m CMOS process. It can produce good quality bit streams without any post-processing. The bit rate of this RNG could be as high as 100 kbps. It has a typical ultra-low power dissipation of 0.91 mu W. This novel circuit is a promising unit for low power system and communication applications. (c) 2007 Elsevier Ltd. All rights reserved.