ABAQUS-UMAT-paper

通过对钢轨和车轮的ansys有限元建模，分析在钢轨的接头处的动力学特性。(Rail and wheel ansys finite element modeling, analysis of the dynamics of the rail joints.)

说明：  矩阵的转置，相乘及界面的面换稀疏矩阵的三元组相加(Sum of the transpose of the matrix, multiplying, and interfacial surface replacing the sparse matrix triples)

说明：  常见的空间转化代码，将彩色空间从BGR 转换到HSV，LAB等(Common space conversion codes, converting color space from BGR to HSV, lab, etc)

利用Mathematica实现数值分析，包括Gauss-Seidel迭代，Jacobi迭代法，SOR法，牛顿迭代法等(Mathematica is used to realize numerical analysis, including Gauss-Seidel iteration, Jacobi iteration, SOR method, Newton iteration method, etc.)

学习用UMAT程序，用于abaqus隐式计算的Johnson-cook模型，有所修改(Learn UMAT program for abaqus Johnson-cook implicit calculation model, some modifications)

FLUENT里面改进的SA湍流模型，为UDF文件，可以进行链接编译计算(FLUENT which improved SA turbulence model for the UDF file can be compiled to calculate the link)

圆柱绕流边界元程序 用边界元的方法计算圆柱绕流(flow around colomn )

说明：  利用该方程组求解一般的线性方程组，别且符合数学求解原理(Using the equations of linear equations in general, do not and in accordance with principles of mathematics to solve)

试试你的运气。随机输入0到9之间的四个数，看看你能得到多少公牛，多少母牛，嘿嘿。(Try your luck. Random input between 0 to 9 the number of four to see how much bull you can get, how many cows, hehe.)

根据极限状态方程，计算结构的可靠度和敏感度程序(According to limit state equation, the calculation of structural reliability and sensitivity procedures)