应力函数

Reynolds Stress Model with wall function was adopted to calculate the liquid-phase flow,and Discrete Phase Model was chosen to trace trajectories of solid particles.

采用雷诺应力模型和壁面函数法模拟流体流动，采用离散相模型跟踪颗粒运动轨迹。

And established the mechanics model,optimization parameter model,optimization mathematics model for the elastic element of the extensometer,programs analysis file and optimization control file by using the ANSYS parameter design language.

解析设计方法：依据弹性元件的受力特点建立其力学模型，运用已成熟的力学理论，如薄板弯曲理论、梁弯曲理论、柱拉压理论、剪切理论等获得弹性体的应力应变的解析值，从而获得目标函数和状态变量的解析值。

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 fracture problem can be solved by calculating the boundary value of a partial differential equation. By the methods of complex variable function and undetermined coefficients, the formulae for deflection, displacement, bending moment, torque, stress and strains near the crack tip are derived.

该断裂同题可化为求解一个偏微分方程的边值问题，借助复变函数方法和待定系数法，推出了裂纹尖端附近的挠度、位移、弯矩、扭矩、应力和应变的计算公式。

According to this theory, the stress intensity factor around the crack-tip is a function of several variables, while Irwin's stress intensity factor K1 is a constant, therefore the factor K1 becomes a particular case of the generalized factor K1g.

作为钝角裂纹模型的K1g将在无限细的数学裂纹的尖点上退化为K1。广义应力强度因子的表达形式为风K1g＝ηK1，其中η是一个多变量函数，它是一个对于K1；的修正系数。在数学裂纹尖点上有η＝1。

Discretization is made with Hermite interpolation function and codes of computing the deflection and the dynamics of a marine riser has been written.

用Hermite插值函数离散，在微机上编写海洋立管静、动力分析程序，通过计算分析研究管内流体对立管侧向变形和应力的作用；另外，探讨管内流体的流动速度和立管顶端的预张力对立管动力特性的影响。

The theoretical study also shows that HMA Poisson's ratio becomes the function of temperature and stress at high temperature of large load, and validates the test results.

理论分析也认为混合料泊松比是温度和应力状态的函数，验证了试验测试结果。

According to the definition of hyperbolic sine, flow stress constitutive equations of T122 and T91 steels had been developed.

根据双曲线正弦函数的定义，建立了T122钢和T91钢热变形条件下流变应力双曲线本构方程的显式表达式。

The function between stable flow stress and strain rate, temperature can be expressed more suitably by the Arrhenius relationship modified by hyperbolic sine function, which means that the hot compression deformation is controlled by thermal-activation.

双曲正弦函数形式修正的Arrhenius关系可以更好地描述稳态流变应力和应变速率、变形温度的关系，表明该材料的热压缩变形是受热激活控制的。

The high-temperature thermal simulation experiments of 1Cr12Ni2W1Mo1V alloy show that the high temperature compression flow stress of 1Cr12Ni2W1Mo1V alloy accords with hyperbolic sine function.

对1Cr12Ni2W1Mo1V合金进行的高温热模拟试验表明，该材料高温压缩下的流变应力符合双曲正弦函数关系。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。