Mathematica实现数值分析

利用abaqus二次开发平台，利用for语言编写的混凝土弹性本构(Use abaqus secondary development platform, the use of language for concrete elastic constitutive)

金属断裂的数值计算提供理论依据及实际详例解读(The numerical calculation of metal fracture provides theoretical basis and interpretation of practical examples)

无网格算法中的光滑粒子水动力学sph算法源程序（溃坝）(Meshless algorithm smoothed particle hydrodynamics sph algorithm source (dam))

包络线去除完全用Excel函数写的包络线去除分析，仅实现了1850—2100nm的包络线去除，其他波段可自行扩展(Continuum Removal MATLAB Compiler 1. Prerequisites for Deployment . Verify the MATLAB Compiler Runtime (MCR) is installed and ensure you have installed version 7.13. . If the MCR is not installed, run MCRInstaller, located in: <mcr_root>* oolboxcompilerdeploywin32MCRInstaller.exe For more information on the MCR Installer, see the MATLAB Compiler documentation.)

三次样条曲线拟合代码，先训练，后差值，计算非常准确(Three times spline curve fitting, the first training, and after, computation is very accurate)

burgers方程求解，采用fortran编写，有详细的说明，效果非常好(burgers equations, using fortran prepared a detailed description of the effect is very good)

包括管道和边界层的大涡模拟fortran95原代码(Including pipelines and large eddy simulation of boundary layer source code fortran95)

四分之一圆柱贴体网格的生成，可以调节大小(Fourth cylindrical body-fitted grid generation, you can adjust the size of the)

说明：  常用的matlab代码，非线性方程组求解，基本可以满足大学和研究生常用代码(Common Mathematical Codes)

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.)