各向异性

Applying the classical method,using anisotropic rectangular coordinates,this article educes the field strength expression by electrified cylindroid and cylindrical surface as well as infinite straight lead in linear anisotropic homogeneous dielectric.

应用各向异性直角坐标系的概念，借助经典的定理 E =- xΦ，导出了带电椭圆柱面、圆柱面、无限长直导线在线性各向异性均匀电介质中的场强表达式。

Interesting works include three parts,(1) deriving an elastic strain energy equation to discuss constitutive relations of various elastic symmetry systems, and to check out some errors in previous papers.(2) deriving effective elastic constants of EDA-PTL medium;(3) deriving and numerically studying the elastic wave rays angle dispersion phenomenon.

除了引用前人给出的公式外，本论文有特色的工作是：推导了一个应变能公式，给出了各种对称体系下的弹性本构形式，对前人给出的结果作了验证，指出存在的个别错误；对EDA构成的薄层介质各向异性弹性常数作了推导，给出了解析表达；对几种类型的各向异性体系的角散式进行了推导并作了数值计算。

The method is used to model full-wave field in anisotropic layered medium with a blg fracture.

采用本文方法对一含较大裂缝的各向异性分层地质模型进行全波场模拟，计算所得地震剖面可以明显地反映裂缝对波传播的影响，说明该方法完全适用于各向异性介质的地震波勘探。

For stress measurement in films less than 2-3μm thick, the glancing angle method should be used to reach high intensity and low penetration depth. The two commonly used glancing methods are Seemann-Bohlin method and Glancing-tilt method.

SB法应力测试曲线在低ψ角时的数据分散主要由晶体弹性各向异性引起，用弹性常数各向异性理论进行归一化修正后，其线性可得到明显的改善。

We discuss the anisotropic interpolation error estimates of parallelepiped element, of brick element and of hexahedral element, respectively.

将二维类Wilson非协调元推广到三维各向异性Wilson砖元和各向异性类Wilson六面体非协调元。

First of all, the report introduced evolution, achievments and problems in the study of anisotropy in the inner of earth. The first-order hyperbolic system of equations is work out, which is used to describe the wave motion in 2D transversely isotropic media. Utilizing the characteristics of free-divergence, We have imposed MacCormack theme that is used to simulate multicomponent records in anisotropic media and have developed a fast high order vectorized finite-difference algorithm adapted for the vector supercomputer.

本文首先阐述了地球内部介质各向异性研究的沿革、成就和问题，接着给出了描述二维横向各向同性介质中波动的一阶双曲型方程，利用其自由发散特性，构制了各向异性介质中多波多分量地震记录数值模拟的MacCormack算式，导出了适用于并行计算的二维横向各向同性介质中波动的有限差分模拟算子，该算子具有可并行化计算、相位差小等优点。

The modeling results show that the velocities of wave propagation are significantly different in different directions, and the property of the fracture infill has a large effect on velocity anisotropy.

结果证实各向异性介质中波的传播速度随传播方向的不同而产生明显的差异；裂隙填充物的性质对于速度各向异性具有很大的影响。

New boundary integral equations for the torsion problem of an isotropic bar with curvilinear cracks are derived by using integration by parts and other techniques to the traditional boundary integral formulations. And the boundary integral equations for the torsion problem of an anisotropic bar with curvilinear cracks are also derived by using the isotropicalized boundary element method. Then the anisotropic problem can be solved on the base of the boundary element method of isotropic problem.

然后用各向同性化方法，将各向异性材料裂纹柱体的扭转问题转化为各向同性材料的问题，在各向同性材料裂纹柱体扭转问题的新的边界积分方程的基础上，推导出了适用于各向异性材料裂纹柱体扭转问题的边界积分方程，然后按已推导出的各向同性问题的边界元法求解。

We have improved the method of anisotropic interpolation error estimations and presented a method to estimate the consistent errors of nonconforming elements.

我们改进了各向异性插值误差估计的判定方法，并给出非协调元的相容误差的各向异性误差估计的方法。

On the basis of algebra invariant theory, the expression of Helmholtz's free energy for orthotropic material considering damage effect was derived. Then, the corresponding constitutive relationship and damage evolution equations were obtained, based on irreversible thermodynamics theory.

基于代数不变量理论，推导了具各向异性损伤的正交各向异性材料的Helmholtz自由能的表达式，同时应用不可逆热力学理论，建立了其损伤本构关系及损伤演化方程。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。