利用平方慢度梯度为常数的分布函数进行解析射线追踪其表达式结构简单而又精确，在程序实现上是很方便的。
Programming analytical ray-tracing by making use of square slowness gradient distribution formalism, its expression constitution is simple and accurate, so it is also easy to complete program.
导出了克尔非线性梯度折射率光纤轴对称模传播常数的解析公式。
The analytic formulas of propagation constants of axisymmetric modes in a Kerr law nonlinear graded index optical fiber are derived.
基于梯度塑性理论，考虑了应变局部化，提出单轴拉伸条件下岩样全程应力—应变曲线解析解。
Analytical solution of complete stress-strain curve of rock specimen in uniaxial tension is proposed based on gradient-dependent plasticity considering strain localization initiated at peak strength.
其一是圆管层流（又称泊肖叶流动），得到其流量和沿管方向压力梯度之间的解析关系式。
One was the laminar flow in the pipe(also called the Poiseuille flow). The analytic form of the relationship between the flow rate and the pressure gradient along the pipeline was obtained.
推导了两种受力情况下各相同性功能梯度材料薄板的应力解析解。
And the exact analytical solutions are derived for nonhomogeneous isotropic functional graded material plate under two loading conditions.
推导了两种受力情况下各相同性功能梯度材料薄板的应力解析解。
And the exact analytical solutions are derived for nonhomogeneous isotropic functional graded material plate under two loading conditions.
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