UMAT_Damage

abaqus二次开发UMAT在损伤方面的应用(ABAQUS two development of UMAT in the application of damage)

说明：  龙格-库塔方法的使用，例子 求y’=y-2x/y，y(0)=0。 解：输入X0=0，X1=1，H=0.2，N=6。()

快拍数不同时，DMI直接矩阵求逆算法进行波束形成的(The snapshot number is not the same, DMI direct matrix inversion algorithm beamforming)

美国牛人编写的以平面框架结构为基础的桥梁设计与校核软件，fortran90格式，已经调通，完全可以运行。(U.S. cattle were written in a flat frame-based bridge design and calibration software, fortran90 format, has been transferred through, can run.)

美国汪利宏的蒙特卡洛及卷积模拟程序，可以模拟top-hat光束和高斯光束在生物组织中的传输(U.S. WANG Li-hong of the Monte Carlo and convolution simulation program can simulate the top-hat beam and Gaussian beam transport in tissue)

计算机常用数值算法与程序(C++版) (Commonly used numerical algorithm of computer and program )

33节点基于前推回代法的含分布式电源配电网的潮流计算程序，其中含支路阻抗的原始数据。(33 nodes with distributed power distribution network procedures, the former push back method, with branch impedance of the original data.)

最优化课件用于最优化数学方法学习，包括惩罚函数，乘子法等(Optimization courseware for optimizing mathematical methods of learning, including the penalty function multiplier method)

说明：  自己编的，实现l-bfgs解无约束优化问题(Own, and the realization of l-bfgs Unconstrained optimization problems)

拉格朗日插值函数，自己编的，供大家参考学习(Lagrange interpolation function, own, and for reference study)