各向同性

基本解释 (translations)

isotropy  ·  isotropism

与各向同性相关的网络例句 [注：此内容来源于网络，仅供参考]

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。

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。

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。

G. Lekhnitskii and the Hankel integral transformation are used, And thereby a solution of the Stress field and displacement field of an embedded penny-shaped crack lying in a transverely isotropic plane under the action of the uniform tension stress at the far end perpendicular to the crack surface is obtained.

本文利用对于横观各向同性体轴对称变形时应力函数解法的基本方程，并应用Hankel积分变换，求解了位于横观各向同性平面内的埋藏圆片裂纹在垂直于裂纹面远处均匀拉应力作用下的应力场和位移场，获得了与各向同性材料相同的应力强度因子，不同于各向同性材料的应力场和应变能释放率裂。

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。

Based upon the general equations of a trans-versely isotropic foundation, the stress functions and the theory of Fourier transforms , the basie displacement so-lutions for a transversely isotropic body under horizontal concentrated loads are obtained.

根据横观各向同性体的基本方程，运用应力函数、傅氏变换和傅氏逆变换理论，得出了横观各向同性地基在水平集中荷载作用下的基本位移解，然后利用积分的方法分别得出了横观各向同性地基在条形面积上水平均布荷载、水平三角形分布荷载及水平梯形分布荷载的位移计算公式，并利用实测的一组弹性参数，将横观各向同性地基中的相对位移与现有的计算理论给出的各向同性地基中的相对位移通过图形作了分析比较，得出了一些有益的结论，以供岩土工程设计人员参考。

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。

The theory of isotropy damage is based on the hypothesis that the material and damage are symmetrical and isotropic.

各向同性损伤理论是建立在材料是均匀的、各向同性的以及损伤也是各向同性的假设基础之上。

Based on the method of matrix transformation used in the compound material mechanics, the anisotropic flexibility matrix of the anisotropic sand with a certain stress state is transformed to be an isotopic one of a certain isotropic reference material with the corresponding stress state, and a corresponding stress matrix is obtained simultaneously.

借鉴复合材料力学中矩阵转换的数学方法，将各向异性砂样的柔度矩阵转化为各向同性等效参考砂的柔度矩阵，同时导出与其相当的应力状态的表达式，以使对各向异性岩土材料的分析可转换为对各向同性状态进行分析，由此可将以前基于各向同性假设的强度条件能够用于各向异性土体。

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。

与各向同性相关的网络解释 [注：此内容来源于网络，仅供参考]

isotropic body：各向同性体

isotron 同位素電磁分離裝置 | isotropic body 各向同性體 | isotropic fiber 各向同性纖維

isotropic body：均质体;各向同性体

均质;各向同性的;等向性的 isotropic | 均质体;各向同性体 isotropic body | 均质岩组 isotropic fabric

isotropic illuminated surface：各向同性受照面

isotropic hardening 各向同性硬化 | isotropic illuminated surface 各向同性受照面 | isotropic material 各向同性材料

isotropic medium：各向同性介質,均向性介質= 各向同性介質

isotopic spin 同位旋 | isotropic medium 各向同性介質,均向性介質= 各向同性介質 | isotropy 各向同性,均向[性]= 各向同性

isotropy：各向同性

-各向同性(ISOTROPY)- 各向同性(ISOTROPY)模具钢可以减少钢材的纵向(压延方向)、横向机械性质的差异,具备各向同性的特征,这种技术思想受到各界模具钢用户的高度评价,已广泛用于所有的日立制钢,对日立模具钢特性的稳定和高寿命化作出了极大的贡献.

isotropic scatterer：各向同性散射体

isotropic radiator 各向同性辐射体 | isotropic scatterer 各向同性散射体 | isotropic 各向同性的

transversely isotropic：横向各向同性

横观各向同性体:transversely isotropic rocks | 横向各向同性:Transversely isotropic | 各向同性损伤:isotropic damage

transversely isotropic：横观各向同性

横向各向同性:transverse isotropic | 横观各向同性:transversely isotropic | 横观各向同性体:transversely isotropic rocks

isotropism：各向同性现像

isotropic scatterning 各向同性散射 | isotropism 各向同性现像 | isotropy 各向同性

isotropous：各向同性的

isotropism 各向同性 | isotropous 各向同性的 | isotropy 各向同性