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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.)

matlab code for exponential PSO

用于数值积分的稀疏网格高斯埃尔米特方法,可以产生积分节点和积分系数(Sparse Grids Based on Gauss-Hermite Rules)

各种数值积分，龙贝格积分。反常积分。高斯积分。三重积分。(Various numerical integration Romberg integration. Improper integrals. Gaussian integral. Triple integral.)

二维涡流位置及流场分布计算程序，Vortex Panel Method (Two-dimensional eddy current distribution of the location and flow field calculation program, Vortex Panel Method)

用有限差分法求解雷诺方程，提供了一段简介的MATLAB程序(Reynolds equation using the finite difference method, the period of introduction MATLAB program)

甲烷的19步简化反应机理文件，FORTRAN语言编写反应速度(ch4 reaction rate)

完成不带PML边界的2维声波介质波场正演(Forward modelling of the wave field in two-dimensional acoustic medium)

多项式计算器，可以用于多项式的各种计算。(Polynomial calculator can be used for a variety of computing polynomials.)