UMAT-FOR-JOHNSON-COOK-MODEL

％ 奇异值分解 (sigular value decomposition,SVD) 是另一种正交矩阵分解法；SVD是最可靠的分解法， ％ 但是它比QR 分解法要花上近十倍的计算时间。[U,S,V]=svd(A)，其中U和V代表二个相互正交矩阵， ％ 而S代表一对角矩阵。 和QR分解法相同者， 原矩阵A不必为正方矩阵。 ％ 使用SVD分解法的用途是解最小平方误差法和数据压缩。用svd分解法解线性方程组，在Quke2中就用这个来计算图形信息，性能相当的好。在计算线性方程组时，一些不能分解的矩阵或者严重病态矩阵的线性方程都能很好的得到解( Singular value decomposition (sigular value decomposition, SVD) is another orthogonal matrix decomposition method SVD decomposition is the most reliable method, but it takes more than QR decomposition near ten times the computing time. [U, S, V] = svd (A), in which U and V on behalf of two mutually orthogonal matrix, and the S on behalf of a diagonal matrix. And QR decomposition are the same, the original matrix A is no need for the square matrix. The use of SVD decomposition method are used as a solution of least squares error method and data compression. Using SVD decomposition solution of linear equations, in Quke2 on to use this information to calculate the graphics performance quite good. In the calculation of linear equations, some indecomposable matrix or serious pathological matrix of linear equations can be a very good solution)

使用Matlab软件计算Normal Copula,Student t Copula,Clayton Copula,Gumbel Copula的程序(Calculated Normal Copula, Student t Copula, Clayton Copula, Gumbel Copula using Matlab software )

高光谱解混合方法，变分增强拉格朗日线性解混合方法。(A Variable splitting Augmented Lagragian Approach to Linear Spectral Unmixing)

经典非线性动力学模型，布鲁塞尔子模型，可直接运行，运算效率高。(nonlinear dynamics Brusselator model)

说明：  采用电磁仿真软件HFSS进行雷达散射截面(RCS)计算实例.(Monostatic Radar Cross Section)

说明：  特征选择验证（FSV：Feature Selective Validation）方法是IEEE标准1597.1所确立的电磁仿真有效性评估体系的核心方法，该程序采用matlab实现了FSV方法的可信度分析，可用于两组数据之间的相似度分析。(FSV (feature selective validation) method is the core method of the effectiveness evaluation system of electromagnetic simulation established by IEEE standard 1597.1. The program uses MATLAB to realize the reliability analysis of FSV method, which can be used for the similarity analysis between two groups of data.)

应用牛顿法的直角坐标系下的33节点潮流计算(33 node flow calculation)

外文资料里面的源代码，使用高阶累积量对MPSK信号进行调制识别，wolf 方法计算李雅普诺夫指数。( Foreign materials inside the source code, Using high-order cumulants of MPSK signal modulation recognition, wolf calculated Lyapunov exponent.)

学习fortran的必备，simple算法，拥有完整注释，便于学习交流，是快速学习数值传热学的利器(Learning fortran essential, simple algorithm, with complete notes, facilitate learning exchanges)

ABAQUS中用户材料子程序UMAT的开发主要解决两方面的问题：本构模型的建立和积分算法的选择。 本文主要研究非线性材料的UMAT实现方法，并重点研究其迭代算法部分，目前，用户材料子程序UMAT的迭代算法主要是常刚度法，常刚度法的优点在于算法原理较简单，程序编写较方便，缺点是当遇到复杂非线性材料时，其迭代次数较多，收敛速度也较慢，在这个情况下，本文采取的是一种迭代次数较少且收敛速度较快的切线刚度法，具体就是采用FORTRAN语言编制了基于Von-Mises模型的接口程序,并采用切线刚度算法，通过与ABAQUS自带本构关系计算的结果相比较，验证其正确性。(This paper studies the user subroutine UMAT of ABAQUS development methods, the use of FORTRAN language isotropic hardening material model of the interface program, studied the effects of such material is extremely elastic-plastic constitutive relation method. This article UMAT tightly around the secondary development of technology, the first principle of its interface detail, and then for the theory of nonlinear finite element incremental stiffness of the regular tangent stiffness method and the theory of algorithms to do an in-depth analysis of deduced a regular tangent stiffness and rigidity of the law of the specific expression of algorithm theory, and then the preparation of the two algorithms, respectively, of the UMAT program, and finally the establishment of a specific model checking, bringing with ABAQUS elasto-plastic constitutive relation of the calculated results compared to verify the correctness of the two.)