Dynamic behaviors of mode III interfacial crack under a constant loading rate

In an earlier study on intersonic crack propagation, Gao et al. (J. Mech. Phys. Solids 49: 2113-2132, 2001) described molecular dynamics simulations and continuum analysis of the dynamic behaviors of a mode II dominated crack moving along a weak plane under a constant loading rate. The crack was observed to initiate its motion at a critical time after the onset of loading, at which it is rapidly accelerated to the Rayleigh wave speed and propagates at this speed for a finite time interval until an intersonic daughter crack is nucleated at a peak stress at a finite distance ahead of the original crack tip. The present article aims to analyze this behavior for a mode III crack moving along a bi-material interface subject to a constant loading rate. We begin with a crack in an initially stress-free bi-material subject to a steadily increasing stress. The crack initiates its motion at a critical time governed by the Griffith criterion. After crack initiation, two scenarios of crack propagation are investigated: the first one is that the crack moves at a constant subsonic velocity; the second one is that the crack moves at the lower shear wave speed of the two materials. In the first scenario, the shear stress ahead of the crack tip is singular with exponent -1/2, as expected; in the second scenario, the stress singularity vanishes but a peak stress is found to emerge at a distance ahead of the moving crack tip. In the latter case, a daughter crack supersonic with respect to the softer medium can be expected to emerge ahead of the initial crack once the peak stress reaches the cohesive strength of the interface.

青藏高原东部植物生态特征在季节性雪厚度梯度上的变化

本文以青藏高原东部的高山草甸为研究对象，设置早融、中间及晚融三个融雪部位，采用实验室测量、野外测量、野外样方调查相结合的 方法，从个体、种群和群落的水平上比较研究了高山雪场植物在同一雪场样地中不同融雪梯度上的特征变异及适应，结果表明： 从早融到晚融的梯度上，随着融雪时间的逐渐推迟，表土日温差降低，冻融交替的强度减弱，土壤水份逐渐增加，总N、总P、总K 以及 可溶性的N、P 和pH 变化不明显，土壤有机质及可溶性的K 和Ca 逐渐降低。冻融交替强度上的差异以及土壤水分差异被认为是融雪梯度上 影响植物生长的主要原因。 从早融到晚融的梯度上，伴随着生态因子的改变，几种常见植物的个体特征也发生相应的变化。首先，物候期推迟。植物开始生长的时间 一般要推迟将近二十天，但同一种植物在不同的融雪部位上的衰老期趋于一致，这预示着在晚融部位同一植物的生长期要缩短。其次，个体生 长特性发生改变。黑褐穗苔草（Carex atrofusca subsp. minor (Boott) T.Koyama）和西北黄芪（Astragalus fenzelianus Pet.-Stib.）的个体生长（株高、单株叶数、单叶面积和地上生物量）表现为逐渐增加的趋势；斑唇马先蒿（Pedicularis longiflora Rudolph var. tubiformis (Klotz.) Tsoong）和川西小黄菊（Pyrethrum tatsienense (Bur. et Franch.) Ling ex Shih.）则表现为逐渐降低的趋势；长叶火绒草（Leontopodium longifolium Ling）在融雪梯度上的变化趋势不明显。再次，从繁殖特性来看，大卫马先蒿（Pedicularis davidii var. pentodon Tsoong）的单株花数、单花种子数、种子千粒重及种子萌发率随融雪的推迟呈现为逐渐增加的趋势；圆穗蓼（Polygonum macrophyllum D.Don）的种子（小坚果）千粒重和萌发率也表现为逐渐增加，其余繁殖特征变化不明显。 在种群层次上，几个常见物种的分布格局随着融雪的推迟都发生一定的变化，基本上表现为从早融的集群分布到中间或晚融部位的随机分布。物种间的联结性也发生较大的变化，由早融部位的总体上的正关联逐步过度到晚融部位上的总体上的负关联。特定种对间的联结性也发生较大的变化。恶劣环境条件（如剧烈的冻融交替）的影响以及对恶劣条件适应被认为是分布格局及种间联结性发生变化的主要原因。 在群落层次上，物种多样性的变化表现为单峰曲线的格局，即在中间部位多样性最高。早融部位强烈的冻融交替和晚融部位缩短的生长季是早融及晚融部位物种多样性不高的重要原因。几乎所有的只出现在一个融雪部位（雪深级别）上的物种都发生在中间融雪部位。这说明，中等的雪深更有利于许多高山植物的存活，而过浅过深的积雪都不利于植物的生存。另外，相距较近的融雪梯度之间的物种相似性较大，而相距较远的梯度之间物种的替代率较高，物种的相似性较小。在群落的生物量方面，地上生物量随融雪的推迟而升高，地下生物量随融雪的推迟而下降，地上与地下生物量之总和随着融雪的推迟而下降，地下生物量与地上生物量之比随着融雪的推迟而下降。早融部位的地上生物量主要集中于地上0-10cm 的范围内，表明在早融部位植物地上部分有变矮的趋势；早融部位的地下生物量在土壤各深度分布相对较均一，而晚融部位地下生物量则主要集中于地下0-10cm 的范围内。生物量的变化趋势主要与雪场中各部位的土壤水分含量及地表日温度差异有关，是植物适应特定环境的结果。 To detect the plants’ responses to snow-cover gradients in an alpine meadow of eastern Tibetan plateau, laboratory method and field sample plot method were employed, and three gradeients （early-, medium and late-melting）were established in a natural snowbed. The measurements were carried out for two years and was done on three levels——individual, population and community. The results are shown as follows : From early- to late-melting gradients, daily ground temperature difference between day and night decreased, amplitude of freeze-thaw alternation weakened, soil organic matter contents and soluble K and Ca decreased, while soil water content increased. Total N, total P, total K，pH soluble N and soluble P kept constant from early- to late-melting portions. Among these factors, the changes of intense freeze-thaw alternation and soil water contents were considered as main factors affecting plants’ growth. From early- to late-melting portions, all phenological phases postponed, e.g. phase of plant emergence postponed almost twenty days. However, the same species’ individuals at different portions withered in step, which implied that the individuals at late-melting portion possessed shorter growing season length. Along the same gradient, both Carex atrofusca subsp. minor (Boott) T. Koyama and Astragalus fenzelianus Pet.-Stib. increased their individual growth, whereas Pedicularis longiflora Rudolph var. tubiformis (Klotz.) Tsoong and Pyrethrum tatsienense (Bur. et Franch.) Ling ex Shih. decreased their individual growth. Unlike the four plants mentioned above, Leontopodium longifolium L. did not show any evident change. As to reproductive charateristics, the flowers per individual, the number of seeds per flower, the thousand seed weight and the seed germination rate of Pedicularis davidii var. pentodon showed an increasing trend; and Polygonum macrophyllum D.Don also increased its thousand seed weight and seed germination rate along the same gradient. However, the other reproductive charateristics of Polygonum macrophyllum D.Don did not change significantly. At population level, the distribution pattern of several selected species changed from cluster pattern to random pattern as the snowmelt postponed. Overall association among the species changed from positive to negative along the same gradient. Further, interspecific association also changed evidently. Adverse circumstances such as intense freeze-thaw alternation were considered as primary factors resulting in changes of population distribution pattern and interspecific association. At the level of community, species diversity showed a pattern of a unimodal trend, i.e. the highest diversity occurred at medium snow depth，perhaps because of intense freeze-thaw alternation at early-melting portions and the shortest growing season at late-melting portions. Almost all species that only appeared at one snowmelt portion occurred at medium portion, indicating that medium snow depth was more suitable for many species’ survival. Species replacement from one snowmelt portion to its neighboring portion seldom took place. However, while distance between two portions became farther, species replacement between the two portions occurred more frequently. As for biomass, aboveground biomass increased from early- to late-melting portions, whereas belowground biomass, total biomass and the ratio of belowground to aboveground all decreased along the same snow gradient. A majority of aboveground biomass distributed in a height range of 0-10 cm, suggesting that height of plants inhabiting early-melting portion be shorter compared with other portions. In addition, belowground biomass at early-melting portion was evenly distributed at different soil depth in comparison with aboveground biomass, whereas belowground biomass at late-melting portion concentrated 0-10cm soil layer below ground. The changing trend of biomass was also related to two factors. One was soil water content, and the other topsoil temperature difference between day and night.

Four-dimensional Newton's constant in brane world with a sloping extra dimension

We show the four-dimensional Newton's constant obtained naturally from five-dimensional brane world with a tinily sloping extra dimension, which is independent of the bulk Weyl tensor. The corresponding universe is stiff fluid dominated when the slope of extra dimension is very small. Otherwise, the universe may be undergoing a self-acceleration at present epoch and have a decelerated phase in very recent past.

Adaptive hormetic response of pre-exposure of mouse brain with low-dose C-12(6+) ion or Co-60 gamma-ray on growth hormone (GH) and body weight induced by subsequent high-dose irradiation

The brain of the Kun-Ming strain mice were irradiated with 0.05 Gy of C-12(6+) ion or Co-60 gamma-ray as the pre-exposure dose, and were then irradiated with 2 Gy of 12C6+ ion or Co-60 gamma-ray as challenging irradiation dose at 4 h after per-exposure. Body weight and serum growth hormone (GH) concentration were measured at 35th day after irradiation. The results showed that irradiation of mouse brain with 2 Gy of C-12(6+) ion or Co-60 gamma-ray significantly diminished mouse body weight and level of serum GH. The relative biological effectiveness values of a 2 Gy dose of C-12(6+) ion calculated with respect to Co-60 gamma-ray were 1.47 and 1.34 for body weight and serum GH concentration, respectively. Pre-exposure with a low-dose (0.05 Gy) of C-12(6+) ion or Co-60 gamma-ray significantly alleviated reductions of mouse body weight and level of serum GH induced by a subsequent high-dose (2 Gy) irradiation. The data suggested that low-dose ionizing irradiation can induce adaptive hormetic responses to the harmful effects of pituitary by subsequent high-dose exposure.

Detection of K-ras exon 1 mutations by constant denaturant capillary electrophoresis

Among various mutation detection methods, constant denaturant capillary electrophoresis (CDCE) is one of the most common techniques for rapid identification of known or unknown mutations. In this report, a CDCE analysis method with homemade linear polyacrylamide (LPA) kit was developed on ABI 310 genetic analyzer, the effect and relationship of various denaturing factors in CDCE analysis were investigated and K-ras gene mutations of 31 coloerctal cancer patients were detected. Results indicate that, with the increase of chemical danaturant concentration, the optimum temperature was lowered, and when the concentration of urea (formamide) was higher than 7 M (40%), the homoduplex and heteroduplex of mutant samples were separated with difficulty. Detection results of K-ras gene in colorectal samples indicated that mutations were present in eight (26%) of 31 patients; most mutations were localized in codon 12, which is thought to be a critical step and plays an important role in human colorectal carcinogenesisas. Copyright (C) 2004 John Wiley Sons, Ltd.

Dembowski-Ostrom型完全非线性函数构造的线性码权分布

Dembowski-Ostrom型完全非线性函数是目前最主要的完全非线性函数类,已发现的完全非线性函数中只有一种不属于Dembowski-Ostrom型.为此,该文首先给出Dembowski-Ostrom型完全非线性函数的定义,将已有的线性码构造推广到这一类型函数上.进而给出此类函数构造的线性码的码字与有限域上非退化二次型之间的关系,并得到相应二次型的原像分布的一些性质.通过有限域上的二次型以及指数和理论,用统一的方法完全确定了基于所有Dembowski-Ostrom型完全非线性函数构造的两类线性码的权分布.

Molecular weight dependence of phase Behavior of PEO/P(EO-b-DMS) blends: Application of Sanchez-Lacombe lattice fluid theory

Molecular weight dependence of phase separation behavior of the Poly (ethylene oxide) (PEO)/Poly(ethylene oxide-block-dimethylsiloxane) (P(EO-b-DMS)) blends was investigated by both experimental and theoretical methods. The cloud point curves of PEO/P(EO-b-DMS) blends were obtained by turbidity method. Based on Sanchez-Lacombe lattice fluid theory (SLLFT), the adjustable parameter, epsilon*(12)/k (quantifying the interaction energy between different components), was evaluated by fitting the experimental data in phase diagrams. To calculate the spinodals, binodals, and the volume changes of mixing for these blends, three modified combining rules of the scaling parameters for the block copolymer were introduced.

Rhythmic Growth-Induced Ring-Banded Spherulites with Radial Periodic Variation of Thicknesses Grown from Poly(epsilon-caprolactone) Solution with Constant Concentration

Birefringent ring-banded spherulites with radial periodic variation of thicknesses were grown from poly(epsilon-caprolactone) (PCL) solutions under conditions for which the Solution concentration was held constant during the whole development of the morphology. The as-grown ring-banded spherulites were investigated by optical (OM) and atomic force (AFM) microscopies, by transmission electron microscopy (TEM) of samples sectioned parallel to the plane of film, and also by electron diffraction (ED) and grazing incidence X-ray diffraction (GIXD) techniques.

Well-defined higher-molecular-weight polyacrylonitrile via RAFT technique in the presence of disulfide compounds as a source of chain transfer agent

Well-defined polyacrylonitrile with a higher number-average molecular weight (R.) up to 200,000 and a lower polydispersity index (PDI, 1.7-2.0) was firstly obtained via reversible addition-fragmentation chain transfer (RAFT) process. This was achieved by selecting a stable, easy way to prepare disulfide compound intermediates including bis(thiobenzoyl) disulfide (BTBDS) and bis(thiophenylacetoyl) disulfide (BTPADS) to react with azobis(isobutyronitrile) to directly synthesize RAFT agents in situ.

Regio-regular structure high molecular weight poly(propylene carbonate) by rare earth ternary catalyst and Lewis base cocatalyst

Lewis base modification strategy on rare earth ternary catalyst was disclosed to enhance nucleophilic ability of active center during copolymerization of carbon dioxide and propylene oxide (PO), poly(propylene carbonate) (PPC) with H-T linkages over 83%, and number-average molecular weight (M-n) up to 100 kg/mol was synthesized at room temperature using Y(CCl3OO)(3)-ZnEt2-glycerine catalyst and 1,10-phenanthroline (PHEN) cocatalyst. Coordination of PHEN with active Zinc center enhanced the nucleophilic ability of the metal carbonate, which became more regio-specific in attacking carbon in PO, leading to PPC with improved H-T linkages.

Fixation of carbon dioxide into aliphatic polycarbonate, cobalt porphyrin catalyzed regio-specific poly(propylene carbonate) with high molecular weight

Cobalt porphyrin complex ((TPPCoX)-X-III) (TPP = 5, 10, 15, 20-Tetraphenylporphyrin; X = halide) in combination with ionic organic ammonium salt was used for the regio-specific copolymerization of propylene oxide and carbon dioxide. A turnover frequency of 188 h(-1) was achieved after 5 h, and the byproduct propylene carbonate was successfully controlled to below 1%, where the obtained poly(propylene carbonate) (PPC) showed number average molecular weight (M-n) of 48 kg/mol, head-to-tail content of 93%, and carbonate linkage of over 99%.

Mass transfer kinetics of neodymium(III) extraction by calix[4]arene carboxylic acid using a constant interfacial area cell with laminar flow

BACKGROUND: Thermodynamics and kinetics data are both important to explain the extraction property. In order to develop a novel separation technology superior to current extraction systems, many promising extractants have been developed including calixarene carboxylic acids. The extraction thermodynamics behavior of calix[4]arene carboxylic acids has been reported extensively. In this study, the mass transfer kinetics of neodymium(III) and the interfacial behavior of calix[4]arene carboxylic acid were investigated.