结构性软土微观结构参数及结构性流变模型

目的为了从微观结构的角度建立软土的结构性流变模型．方法利用扫描电子显微镜，对软土固结流变过程中SEM图片进行图像处理，研究反映软土流变特征的微观参数，分析这些参数的变化规律．结果反映微结构单元体有序性和定向性的概率熵和分维值的变化规律和软土的固结蠕变变形关系密切，由此确立了软土的微观参数与宏观流变力学行为的定量关系，进而建立了含微观参数的结构性软土固结流变本构模型．结论模型检验表明，采用反映软土微结构单元体有序性和定向性的指标而建立的结构性流变模型是可行的．     

升温氧化过程煤表面介观特征和分形参数研究

将原子力显微镜（AFM）用于煤表面结构研究,提出介观尺度下煤表面结构研究方法. 得出基于分形理论和AFM观测结果计算分形维数D的方法.实验分析证明,煤表面有明显的分形特征,在煤样的升温氧化过程中,分形维数随温度的升高趋于增大.     

Simulation research on monomer agglomeration of nonmetallic inclusions in steel with a diffusion limited aggregation model

The monomer agglomeration of nonmetallic inclusions was simulated with a diffusion limited aggregation （DLA） model of the fractal theory. The simulation study with a random two-dimensional diffusion was carried out. The results indicate that the DLA model can be used for the simulation of agglomeration behavior of the cluster-type inclusions. The morphology of clusters was observed with SEM and compared with the simulated agglomerates. The modelling procedure of the DLA model is applicable for the agglomeration process. The uncertainty of agglomeration process and the persuasive average agglomerative ratio was analyzed. The factors about the agglomerative ratio with the collision path distance and the size of particles or seed were discussed. The adherence of the nonmetallic inclusions on the dam, the weir and the walls of a tundish, and the absorption of inclusions by stopper or nozzle were also discussed.     

Determination of effective thermal conductivity for polyurethane foam by use of fractal method

1 Introduction Polyurethane foam is a good thermal insulation material widely used in daily life and many industries, such as chemical engineering, refrigeration and architecture owing to its very low thermal conductivity and lightweight. In the past two decades, the technology and chemistry of the rigid urethane foam have been developed to an industrial level, but its thermal conductivity, which is recognized as the most important parameter to design the insulation structure, cannot be calcul…     

甘肃北山预选区旧井地段断裂的分形特征--中国高放废物处置的潜在场址

以甘肃北山旧井地段的断裂为研究对象,对其进行了分形特征研究。在对该区的TM遥感影像进行线性构造解译的基础上,利用线性构造分布图,使用Box Flex方法,计算了旧井地段断裂的分维值,结果表明,旧井地段断裂具有分形特征,且分维值为1．466,在工程岩体质量分级中属于“好”的级别。通过此项研究,初步建立了旧井地段断裂分形特征的研究方法,评价了该地段花岗岩的岩体工程质量,为高放废物处置库的选址和场址评价提供了基础资料。     

一类复映射系的广义Mandelbrot集

推广了Shirriff所提出的由两个简单复映射的组合构造正整数阶广义Mandelbrot集（简称广义M集）的方法,并由推广的一类简单复映射系,构造出一系列实数阶的广义M集.利用实验数学方法,对广义M集的结构和演化进行了研究,发现整数阶广义M集具有对称性和分形特征,小数阶广义M集出现了错动和断裂,且其演化过程依赖于相角主值范围的选取.在此基础上,阐述了广义M集的物理意义.     

Fractal character of lenticles and its influence on sediment state in tailings dam

1INTRODUCTION Undertheinfluenceofthevariousfactors,suchasaseriesoftailingswithdifferentparticle sdiametersandtailingsdisposal,theprocessoftail ingssedimentisverycomplicated.Thearsenicdis posalpracticeofthemetallurgicalindustryandthesedimentofthedisposedarseniccompoundswerereviewedbyRiverosetal[1].Wind wave induced suspensionofminetailingsindisposalpondwasstudiedbyLawrenceetal[2]withimplicitfinitedifference.Samadetal[3]usedlinearwavetheoryandcountercurrentflowprofilestoobtainthetotalbotto…     

四元数分形的生成与研究

为实现三维分形,应用四元数作为迭代变量生成四维Julia集。在介绍了如何实现三维显示以及迭代方法选择之后,详细说明了生成四元数分形的具体过程,并给出图形实例。因为改进了逃逸时间算法的判别标准,因此,目标集合是边界点集。最后通过观察与分析,总结了四元数Julia集的某些特征,比较了它与复平面Julia集异同点,说明了两者之间的联系。