垂直地震力作用下弹性半空间上扁壳基础的解析解

用布希涅斯克定义的弹性半空间内的垂直位移包括两项积分,除了积分号前面系数的差别之外,第一项积分是单层位势而第二项积分为双层位势。若扁壳基础是正高斯曲率的几何曲面,则壳底与半空间表面间的挤压强度就是半空间表面作用的分布垂直荷载。当越过边界时,双层势位的函数值和单层势位的法向导数值发生跳跃。利用这些性质,本文得出布希涅斯克积分的反演公式,从而避开要求解偏微分—积分方程组的巨大数学困难而易于得出解析解。以椭园抛物面扁壳为例说明本文方法的应用。     

Hydrophobic and electrostatic parameters in bacterial adhesion

Recently it has been shown that the initial stages of bacterial adhesion to a model-surface of sulphated polystyrene can best be described using hydrophobic and electrostatic parameters. In the present study it is tested whether these parameters can generally be applied to predict bacterial adhesion by using (i) glass, as a model for hydrophilic and natural surfaces of silicates and oxides, (ii) polystyrene coated with proteins, as a model for a surface coated with an organic layer, and (iii) river Rhine sediment, as an example of a natural surface. Adhesion to glass was dominated by electrostatic interaction, whereas adhesion to polystyrene coated with various types of proteins depended on the surface characteristics of the bacteria and the type of protein. By relating Van der Waals interactions to hydrophobicity of the interacting species, the adhesion of bacteria to the various surfaces including the river Rhine sediments could be interpreted in terms of the DLVO-theory. It is therefore concluded that the conceptual principles of the DLVO-theory (interplay of Van der Waals and electrostatic interactions) are suitable to describe, at least qualitatively, the initial processes of bacterial adhesion to a wide range of surfaces.     

Slope-induced changes in channel character along a gravel-bed stream: The Allt Dubhaig,Scotland

Changes in channel character along a small river in the Scottish Highlands are described using measurements in seven reaches over a 3 km length with no significant tributaries but a decline in slope from 0.02 to 0.00015 because of local baselevel control. This decline in slope is associated with rapid downstream fining of the gravel bed followed by an abrupt transition to a sand bed. The channel pattern alters progressively rather than abruptly, in the sequence (1) near-braided, (2) meandering with active point-bar chutes, (3) meandering with active outer-bank talweg, (4) stable equiwidth sinuous. The changes in channel pattern and hydraulic geometry are predicted better by rational approaches based on critical shear stress or other physical concepts than by purely empirical discriminant or trend equations. Measurements in five reaches confirm a downstream decrease in shear stress and the amount and calibre of bedload. It is argued that the downstream changes in channel character in this stream are induced by profile concavity inherited from deglacial conditions, are typical of many streams in mountainous areas and can be understood in terms of slope-induced changes in hydraulic properties.     

磁层顶等离子体中的混沌现象

本文研究了磁层顶等离子体的一个基本模型,得到了一新的非线性常微分方程组.数值分析表明,在一定的磁Reynolds数范围内,系统呈现混沌行为,相轨道趋向于奇异吸引子.     

一类超线性椭圆方程组解的存在性

本文研究半线性椭圆方程组在Ω中以及Dirichlet边界条件u|Ω=V|Ω=0的解的存在性.其中Ω是R~n中光滑有界开集。关于非线性项f(x,u)作超线性假设。在此假设下,若f满足增长限制|f(x,u)|≤a|u|°=b,其中a、b、σ是常数.1<σ<(n+2)/(n-2),则利用临界点方法.证明了(*)+b,其中a、b、σ是常数,1<σ<(n+2)/(n-2),则利用临界点方法.证明了(*)有古典解存存。这样不用对(*)的解作先验估计,解决了Figueiredo和Mitidieri在[2]提出的问题。     

地震过程中形变能的演化特征

本文利用非线性理论分析了震前形变能随时间的演化关系，导出了应力与应变的本构关系为非线性时的突变演化模型。最后利用青海门源６．４级地震前后的跨断层形变资料，计算了非线性形变的演化过程。取得如下认识：１．震前形变能的演化过程是不稳定过程；２．形变能的突变发生在非平衡区；３．门源地震前后的跨断层地形变资料的计算结果与理论分析基本一致。     

川滇交界地区构造应力场及强震趋势的统计预测

本文对川滇地区中、强震震源机制解和中小地震平均节面解分析，指出川滇地区现今构造应力场在北西－北西西向压应力作用下，以水平剪切错动为主。同时，采用极值理论、最大信息熵、线性预测和灰色理论等方法综合分析，预测川滇地区未来强震的趋势。     

裂纹端部的力学研究

本文计算并讨论了忽视旋转的传统理论所不能给出的裂纹端部场与场源的相互作用，首先利用弹性力学方法计算了共线裂纹组端部的应力场及位移场，然后应用旋转理论给出共线裂纹组端部的扭转力通解，对单裂纹和双裂纹情形做了重点讨论．     

有限元素法全倾角波动方程偏移

本文试图从两个方面提高波动方程偏移的效果:1.使用全方向波动方程进行偏移,使之适用于任意倾角界面的反射;2.使用有限元素法提高微分方程数值解法的精度。