UMAT各页公式详解V2

超声波检测混凝土，正演分析，通过一正弦入射波检测混凝土内部是否发生破坏或损伤(Ultrasonic inspection of concrete, forward analysis, incident detection by a sinusoidal internal concrete damage or injury has occurred)

说明：  基于神经网络的数字预失真技术，即智能DPD(Digital Predistortion Technology Based on Neural Network)

遗传算法反演子程序，可用于地球物理非线性反演(The genetic algorithm inversion subroutine, can be used for nonlinear geophysical inversion)

四杆桁架结构的有限元分析程序，在VS2008软件中使用C++语言编写，输入为四杆桁架结构的节点坐标，材料参数，边界条件，输出为各节点的应力和应变。(Four-bar truss structure finite element analysis program, the use of C++ written in VS2008 software, input node coordinate the four-bar truss structure, material parameters, boundary conditions, the output of the stress and strain of each node.)

说明：  comsol仿真的学习教程，有助于初学者深度掌握comsol的 基本使用(Comsol simulation course is helpful for beginners to master the basic usage of COMSOL)

进行了简支梁荷载作用下的变形计算，将梁分成了40个单元，分别用Euler Bernoulli和Timoshenko 梁进行了对比计算(Was calculated deformation under loads simply supported beam, the beam is divided into 40 units, respectively Euler Bernoulli and Timoshenko beam compared calculated)

基于Matlab的RCS(雷达散射截面）计算案例。 利用时域有限差分法(FDTD)的计算电磁学手段，给出了较为准确的结果。(An exact example to calculate the RCS based on Matlab. Using the FDTD method, it indicates that the simulation is quite acurate.)

说明：  带精英决策的多目标优化关键程序，希望对大家有用。(Key procedures of multiobjective optimization with elite decision)

很详细的一维FDTD介绍，以及MATLAB程序说明(Very detailed one-dimensional FDTD presentation and description of the MATLAB program)

FFT with fix point 2*N