各向异性的

With aid of techniques of analytical continuation and conformal mapping, exact solutions are obtained for three typical problems concerning Eshelby's inclusion. The three problems are1 interaction between an arbitrarily shaped Eshelby inclusion and a circular inhomogeneity in transversely isotropic piezoelectric medium; 2 interaction between an arbitraily shaped Eshelby inclusion and an interface in anisotropic piezoelectric medium, the interface in our investigation may be a perfect interface, or a frictionless slipping interface , or a compliant electrode layer is embedded along the full interface of the bimaterials; 3 interaction between an arbitraily shaped Eshelby inclusion and an elliptical hole in anisotropic piezoelectric medium.

通过采用解析延拓和共形映射技术，获得了压电复合材料中有关Eshelby夹杂三个典型问题的精确弹性解答，即横观各向同性压电介质中任意形状的Eshelby夹杂与圆柱异相夹杂间相互作用；一般各向异性压电介质中任意形状的Eshelby夹杂与双压电材料所形成界面的相互作用，我们所考虑的界面包括理想界面、滑动界面以及柔性金属电极层增强界面；一般各向异性压电介质中任意形状的Eshelby夹杂与椭圆孔洞的相互作用。

Research results show that: 1 The FLSD is basically path independent whether is for steel or for aluminium; 2 Shape of the forming limit curve in stress space is sensitive to the type of material model used in transformation form FLD to FLSD; 3 the anisotropy of sheet metal has considerable influence on the FLSD; 4 The application of the FLSD in sheet metal processes optimization was considered to be effective and more precise.

钢板和铝板应该分别采用不同的材料模型进行转换。3）板料各向异性性能对板料成形极限有影响，在使用FLSD时应该考虑板料的各向异性情况；4）FLSD在应用于多道次成形零件的有限元分析时，由于其具有的与加载路径无关的特点，因此比通常用的FLD更加准确可靠。本课题的研究为以后在板料成形仿真中，使用应力成形极限曲线代替应变成形极限曲线，提供了理论和试验依据。

The stability of algorithm, the condition of absorbing boundary and free surface boundary, the grid dispersion and the process of source are discussed in details. The numerous simulations of wave propagation are carried out in isotropic media, transversely isotropic media and anisotropic media induced by fractures. The difference between anisotropic and isotropic effects on surface records is analysized.

接着讨论了有限差分算子的稳定性和收敛性，以及吸收边界条件、自由边界条件、数值频散和震源的处理，对各向同性介质、横向各向同性介质以及裂隙引起的各向异性介质中传播的弹性波场进行了数值模拟，分析了多波多分量数据中的各向异性效应以及各向同性在地表地震记录中的反映。

Patterned wettability transition by photoelectric cooperative and anisotropic wetting was demonstrated on this surface, namely, applying a bias lower than the electrowetting threshold voltage, photoelectric cooperative wetting can be realized only at the illumination site, i.e., patterned site.

在这种薄膜表面，实现了一种通过光电协同控制的各向异性浸润作用来获得液体的图案化浸润的方法，即在低于电浸润阈值电压的条件下，通过图案化的光照来实现液体图案化浸润。超疏水复合氧化锌纳米棒阵列为图案化浸润提供了必要的各向异性浸润环境。

Simultaneity, the adsorption energies of single Si adatom on the H-terminated Si (100) surfaces are specially mapped out in this paper, from which the favorite binding sites and possible diffusion pathways have been achieved. The variety of the diffusion anisotropy with the coverage transforming is obtained. The energy barriers of the adatom diffusion are found to be higher than that on the clean surface, because the H atoms saturate the dangling bonds of the surface Si atoms.

同时，本文研究了附加硅原子在理想H-terminated Si(100)表面的沉积扩散行为，计算得到了一系列沉积点和可能的扩散路径；讨论分析了扩散行为的各向异性以及氢覆盖率对各向异性影响的规律，并且发现附加硅原子在H-terminated Si(100)表面上的扩散势垒比在清洁Si(100)表面上的高，我们认为这主要是因为氢原子饱和了表面上硅原子的悬挂键，提高了扩散势垒。

As the basis of inversion, we have summarized the overall expressions for Thomsen's parameters and their physical meanings, deduced the expressions of azimuthally varying NMO velocity that usually specifies an ellipse in the horizontal plane for any arbitrary anisotropy, and derived the expressions for the NMO ellipses described by Thomsen's parameters.

作为反演理论的基础，归纳总结了各类各向异性介质中Thomsen参数定义的形式及其相应的物理意义，推导了水平层状各向异性介质中方位NMO速度的椭圆属性方程及其Thomsen参数表示形式，并根据具体的介质参数，分别计算了HTI介质、正交介质和单斜介质中，在干裂隙和饱和流体填充裂隙的情况下的方位NMO速度。

The results indicate that as the ERT has a advantage of being able to multi-directional imaging and monitor, on the basis of a analysis of resistivity images obtained at different directions, it is possible to characterize the spatial distribution patterns of the rock structure, and illustrate the anisotropic properties of the spatial distribution patterns in the rock resistivity changes during water saturation and desaturation processes.

结果表明，电阻率成像法在分析岩石裂隙介质的各向异性方面具有多方向成像和动态监测的优点，可以通过对不同方向上获得的电阻率图像的分析，提取出岩石沉积结构的空间分布模式，清晰地反映出岩石在饱水和排水过程中电阻率变化空间分布模式的各向异性特征。

The method connects the exponentially attenuating dividable auto-correlation function which is often used in the study of the lubricating behaviors of rough surfaces, to the theoretical model for studying the contact behaviors of rough surfaces and it will be a foundation for studying the lubrication and failure problems of sliding frictional pairs with anisotropic surfaces.

第三章对Onions-Archard的理论接触模型进行扩展，给出了计算各向异性粗糙表面接触性能的简便方法，并将粗糙表面润滑效应研究中常用的表征粗糙表面的指数衰减可分自相关函数和粗糙表面接触性能研究的理论模型联系了起来，为研究混合润滑工况下各向异性粗糙表面摩擦副的润滑和失效问题提供了基础。

Two works guaranteed the fulfilment of this studies,(1)developing compressional - and shear - waves transducers with broadband which is key part of the system in the physics model experiment, and study of the special property and using skills of the transducers , groping the relative experience to develop transverse wave measurment and observation at laboratory.(2) establishing a suit of comprehensive testing system to observe the elastic wavefield in anisotropy media .

首先通过研制物理模型实验技术中的关键器件纵横波宽频带换能器，及对其性能和使用技巧的研究，积累实验室开展各向异性介质的测试经验，建立了一套较完整观测各向异性介质弹性波场的测试系统。

The relation between the relative Young′s modulus of the models and the anisotropic size ratio was obtained and compared with theory pred...

结果表明，建立的开孔和闭孔随机泡沫模型能较好地反映泡沫材料的各向异性力学性质；且开孔和闭孔泡沫的各向异性力学性能均与泡沫材料的相对密度有关。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新