查询词典 isotropic

Then, the differential equations are solved by the Fourier expanding and Hankel integral transform method. Integral solutions of soil skeleton displacements and pore pressure as well as the total stresses for poroelastic media are obtained. Furthermore, a systematic study on Lamb's problems in transversely isotropic saturated half-space is performed. Integral solutions for surface radial, vertical and tangentical displacements are obtained both in the case of drained surface and in the case of undrained surface excited by vertical and tangentical harmonic resources respectively. Numerical results show the obvious difference between the model of isotropic saturated poroelastic media and that of transversely isotropic saturated poroelastic media.

其次，基于Biot波动理论，在圆柱坐标系下求解了横观各向同性饱和土的Biot波动方程：通过引入位移函数，在圆柱坐标系下将横观各向同性饱和土的Biot波动方程转化为两个解耦的6阶和2阶控制方程，然后根据方位角的Fourier展开和径向Hankel变换，求解波动方程，得到以土骨架位移和孔隙水压力为基本未知量的积分形式一般解，并用一般解给出了饱和土总应力分量的表达式；再以基本解为基础，系统地研究了横观各向同性饱和半空间体的Lamb问题，考虑表面排水或不排水两种情况后，首次得到横观各向同性饱和半空间体在表面竖向和水平谐振力作用的下径向、竖向和周向位移的解析解。

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。

It is well known that problems of vibrations of spherically isotropic(a special form of transversely isotropic)spherical shells are moredifficult to deal with than those of the isotropic ones.

由于包含五个弹性常数，球面各向同性(属横观各向同性的一种特殊形式)球壳振动的研究要比各向同性球壳振动的研究复杂。

Based on the primacy aeolotropy rock, transversely isotropic rocks is hypothesized. With the theory of the stress distribution of the rockmass, disaster character of tunnel excavating in the type of transversely isotropic rocks is analyzed, and some strategy and technology of uniso-intensity support are raised.

论文以原生型各向异性物质特征为基础，以岩体横观各向同性为假设条件，利用前人的理论研究结果，对于隧道开挖在此类各向异性岩体中的破坏特征进行了分析和总结，提出了不等强支护的策略技术。

Proves by matrix technique and ways that affine Unitary groups have double transition on the affine maximal and deseribes the total isotropic subspaces over affine Unitary geometry and their orbits and the use of affine maximal and total isotropic subspaces to construct several classes association scheme and PBIB designs, and the calculation of all parameters as well.

利用矩阵的技巧和方法，证明了仿射酉群双可迁地作用在仿射酉几何中的仿射极大全迷向子空间上，并且给出了轨道的明确表示。作为该理论的一个应用，利用仿射酉几何中的极大全迷向子空间的全体作为处理集构作了一个多个结合类的结合方案和PBIB设计，并计算了所有的参数。

Firstly, the isotropic difference templates were introduced to approximate the differential in the ADI-FDTD method, and the weighting coefficients of difference terms were determined for implementing isotropic numerical dispersion; Then the permittivity and permeability were adjusted manually to reduce the numerical dispersion error in any directions. Therefore the simulation accuracy and efficiency can be improved effectively for time domain problems with some finite bandwidths.

该方法在ADI-FDTD方法的差分近似微分中引入各向同性差分模板，并通过确定各向同性差分的加权系数来近似实现各向同性，然后人为修正空间的介质参数来减少各个方向上的数值色散误差，因此在模拟一定带宽的时域问题时可有效提高计算精度和计算效率。

According to that characteristic and based on the differential equation of the deformed surface of the orthotropic plate, with one principal direction size fixed, changing another principal direction size linearly, maintaining elasticity coefficient the same as in the first principal direction and Poisson ratio equal to the geometric mean of two principal Poisson ratios, the original orthogonal plate is equivalent to an isotropic plate. Results obtained show that the deflections of the equivalent isotropic plate are the same as the deflections of the original orthotropic plate at the corresponding points, the forces of the correspondent points have simple relations.

根据这一特性、从正交各向异性板挠曲面的偏微分方程出发，保持一个主方向尺寸不变，另一主方向的尺寸做线性缩放，保持弹性模量与第一主方向相同，泊松比取2个主方向泊松比的几何平均值，将这类正交各向异性板等效为一块各向同性板；通过分析得到：各向同性板任意点的挠度就是原正交各向异性板对应点的挠度，各对应点内力之间存在简单的比例关系，该文的方法将为工程技术人员提供方便，同时可以更加直观的认识正交各向异性板的受力。

Based on the BISQ model, we studied the elastic wave speed in two-phase porous isotropic media and its relation with Biot-flow and squirt-flow. The Green function is obtained for a point load in the two-phase porous isotropic media using the decomposition of the field potencial and the properties of Delta function. The expression and effects of squirt-flow in BISQ-Green function are discussed.

以BISQ模型的波传播方程为基础，研究了弹性波在孔隙各向同性介质中的传播速度及与流体的Biot流动和喷射流动力学机制的关系，进一步利用场势分解和δ函数的性质，给出了同时受Biot流动和喷射流动两种动力学机制作用下，两相介质波场位移在集中力作用下的Green函数，并讨论了喷射流动在Green函数中的表现形式和作用。

According to the boundary relations of the electromagnetic field, and based on the phenomena of double refraction and double reflection in crystals, the reflectivity and transmissivity are deduced at boundary when an extraordinary beam is incident from an isotropic medium upon a crystal or from a crystal to an isotropic medium with optical ax.

为分析非常偏振光在晶体表面的能量损耗，给出一种求解反射率和透射率的方法，即根据电磁场的边值关系以及晶体的双折射和双反射现象，求解晶体光轴在入射面内时，非常偏振光从各向同性介质入射到晶体和从晶体出射到各向同性介质两种情况的反射率和透射率的方法，并给出反射率和透射率的解析解，同时得到对于晶体光轴在入射面内的情况，光轴的取向对非常偏振光反射率的大小几乎没有影响，但对产生全反射的临界角θc影响较大的结论。

Finally, based on the fundamental solutions of Biots consolidation of transversely isotropic saturated multi-layered soils, the Fredholm integral equation of second kind for the interaction between transversely isotropic saturated multi-layered soils and rectangular piles is established, the relevant numerical analysis is also carried out.

最后，基于横观各向同性层状饱和地基Biot固结问题的基本解答，建立了横观各向同性层状饱和地基与方形单桩、群桩共同作用问题的第二类Fredholm积分方程，并进行了数值分析与计算；通过将矩形刚性基础基底划分成若干个大小相等的矩形网格，用矩形均布荷载表示网格的基底反力，并利用已获得的横观各向同性层状饱和地基Biot固结问题的基本解来求解每个矩形网格的柔度系数，然后根据刚性基础与层状饱和地基的接触条件和其本身的静力平衡条件，求解分析了横观各向同性层状饱和地基与刚性矩形板的共同作用问题。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。