UMAT子程序详解-材料初始失效准则及损伤演化准则

灰色预测是通过鉴别系统因素之间发展趋势的相异程度，即进行关联分析，并对原始数据进行生成处理来寻找系统变动的规律。(The grey prediction is to identify the different degree of the development trend between the factors of the system, that is, to carry on the correlation analysis, and to process the original data to find the law of the system change.)

说明：  lm求解非线性方程组(Solving nonlinear equations by LM)

说明：  这个程序是通过设置不同的参数来创建一个随机图，可以运行。(This program is to create a random graph for simulation.)

说明：  关于J2塑性流动理论的金属3的材料本构隐式子程序umat(Implicit Subprogram UMAT for Material Constitutive of Metal 3 in J2 Plastic Flow Theory)

频率分集阵列发射波束图仿真，发射波束具有距离-角度耦合性，发射波束图最大值周期性出现，周期等于c/Deltaf。另外，提供了仿真所用的参考文献。(Transmit beamforming of frequency diverse array is range-angle dependent and its maximam is periodic occurrence. the period is equal to c/Deltaf. besides, the references are provided.)

matlab仿真程序，可以直接运行，是分数阶混沌研究的有效资料(Matlab simulation program, which can run directly, is an effective data of fractional chaos research)

二维基于蒙特卡洛法无控弹道仿真程序, 需simulink模块(2-dimensional trajectory simulation program based on Monte Carlo method)

利用椭圆方程完成NACA0012翼型的网格绘制(Finishing the mesh drawing of NACA0012 airfoil by using elliptic equation)

说明：  PID控制的水轮机调速器 simulink模型(Simlink Model of Hydraulic Turbine Governor Controlled by PID)

说明：  UPFC模型，模型非常详细和系统，有助于理解潮流控制器(UPFC model, which is very detailed and systematic, helps to understand power flow controllers)