Law of nonlinear flow in saturated clays and radial consolidation

It was derived that micro-scale amount level of average pore radius of clay changed from 0.01 to 0.1 micron by an equivalent concept of flow in porous media.There is good agreement between the derived results and test ones.Results of experiments show that flow in micro-scale pore of saturated clays follows law of nonlinear flow.Theoretical analyses demonstrate that an interaction of solid-liquid interfaces varies inversely with permeability or porous radius.The interaction is an important reason why nonlinear flow in saturated clays occurs.An exact mathematical model was presented for nonlinear flow in micro-scaie pore of saturated clays.Dimension and physical meanings of parameters of it are definite.A new law of nonlinear flow in saturated clays was established.It can describe characteristics of flow curve of the whole process of the nonlinear flow from low hydraulic gradient to high one.Darcy law is a special case of the new law.A math- ematical model was presented for consolidation of nonlinear flow in radius direction in saturated clays with constant rate based on the new law of nonlinear flow.Equations of average mass conservation and moving boundary,and formula of excess pore pressure distribution and average degree of consolidation for nonlinear flow in saturated clay were derived by using an idea of viscous boundary layer,a method of steady state in stead of transient state and a method of integral of an equation.Laws of excess pore pressure distribution and changes of average degree of consolidation with time were obtained.Re- suits show that velocity of moving boundary decreases because of the nonlinear flow in saturated clay.The results can provide geology engineering and geotechnical engineering of saturated clay with new scientific bases.Calculations of average degree of consolidation of the Darcy flow are a special case of that of the nonlinear flow.     

Normal TL-subgroups of TL-subgroup

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拓扑型极大极小定理和抽象B-H-S变分不等式

本文中证明了区间空间中几个新型的极大极小定理，并研究了抽象形式变分不等式和集值ＢＨＳ变分不等式解的存在性问题．本文的结果包含［１，２，５，７，８］中相应结果为特例．     

Study on the Amplitude-squared Squeezing Characteristic of the Binomial-like State

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Properties of LBO and Generation of Mode-locking Blue Femtosecond Pulses

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Oval-Shaped Spectrogram Formed by Randomly Oriented Refractive Index Gratings in Photorefractive Crystals

Ｏｖａｌ┐ＳｈａｐｅｄＳｐｅｃｔｒｏｇｒａｍＦｏｒｍｅｄｂｙＲａｎｄｏｍｌｙＯｒｉｅｎｔｅｄＲｅｆｒａｃｔｉｖｅＩｎｄｅｘＧｒａｔｉｎｇｓｉｎＰｈｏｔｏｒｅｆｒａｃｔｉｖｅＣｒｙｓｔａｌｓＳＨＥＷｅｉｌｏｎｇＹＵＺｈｅｎｘｉｎ（ＳｔａｔｅＫｅｙＬａ...     

自由能展开式中点群的不可约表示的基函数

一个群的基函数的选择并非唯一，不同的基函数对应不同的表示矩阵。即使相同的表示矩阵，基函数也可以有不同的选择。在相变的宏观唯象理论中， 自由能展开式可由同一个表示矩阵的基函数来构造，因而给出不可约表示的基函数表就非常有意义。现有文献给出的32点群不可约表示的基函数只写到二次幂，而且有些文献中的同一个不可约表示所选取的不同的基函数却对应不同的表示矩阵，这样在构造群变换不变式时，就会出错。该文将基函数表写至三次幂, 这有助于准确、迅速地写出到六次幂群变换不变的自由能表达式。由新的基函数表发现十八种点群有三次幂的群操作不变式, 高温相属这些点群铁电体, 发生的本征铁电相变为一级相变。     

关于矩阵的行最简形以及两个正交矩阵之和的几个注记

本文证明了每个ｍ×ｎ矩阵Ａ的行最简形矩阵必唯一．本文还给出了两个正交矩阵之和仍是正交矩阵的两个充分必要条件．     

高功率电子束横向分布特性的间接测量

 用调制传递函数方法间接地确定高功率电子束的横向分布特性, 结果表明, 这一横向分布可以用具有一定比例的高斯分布和本涅特分布的某个组合来表征特性。     

离子注入金红石单晶生成的金属Ni纳米晶的磁学性能研究

研究了能量为64keV、注量1×1017cm-2的Ni离子注入金红石TiO2单晶制备的植入金属纳米晶的微观结构和磁学性能。注入层的结构和磁学性能采用透射电子显微分析（TEM）和超导量子干涉磁强计（SQUID）进行分析。结果表明，金红石单晶中有尺寸为3～18nm的金属Ni纳米晶生成，注入区域基体明显非晶化。10K温度下金属Ni纳米晶的矫顽力约为16.8kA·m-1，比Ni块材的矫顽力大。样品的零场冷却/有场冷却（ZFC/FC）曲线表明，金属Ni纳米晶的截止温度约为85K。