homotopy

面向对象的有限元程序设计。与传统的有限元程序相比，面向对象有限元程序更易于编写、更易于维护和扩充，程序代码的可重用成分更大。(object oriented finite element programming)

适用于ABAQUS的自定义材料子程序，适用于Johnson-Cook材料模型(Apply to custom material ABAQUS subroutine for Johnson-Cook material model)

假设有一个能装入总体积为T的背包和n件体积分别为w1 , w2 , … , wn 的物品，能否从n件物品中挑选若干件恰好装满背包，即使w1 +w2 + … + wn=T，要求找出所有满足上述条件的解。例如：当T=10，各件物品的体积{1，8，4，3，5，2}时，可找到下列4组解：（1，4，3，2），（1，4，5），（8，2），（3，5，2）。 [需求分析](Suppose there are a load of the backpack of the total volume of T and n volumes were w1, w2, ... wn items, whether selected from n items a number of exactly filled backpack, even if w1+w2+ ...+ wn = T, find out the solution of all the above conditions are met. For example: when T = 10, the volume of items {1,8,4,3,5,2}, can be found in the following four solutions: (1,4,3,2), (1,4,5 ), (8,2), (3,5,2). [Needs Analysis])

C 语言，模拟流体相平衡过程，得到混合气体平衡态以后的工况参数(C language to simulate fluid phase equilibrium process, to obtain a mixed gas equilibrium after working parameters)

AKM低雷诺数湍流模型UDF，适用于FLUENT商业流场分析软件。(AKM low-Reynolds number turbulent model, applied on the FLUENT sorftware.)

说明：  邓肯张在ansys中的二次开发，适合于土体有限元分析(second development of duncan-zhang in ansys,it s be used to ansys)

abaqus有限元软件umat（damage）(abaqus finite element software umat (damage))

zero shift fitering to be used in offline system identification

说明：  对时间序列进行滤波，去掉噪声，得到平滑后的数据(Filters a time series via Lanczos method (cosine filter).)

产生 50 个标准正态分布的随机数, 经验累计分布函数图.(Random number generated 50 standard normal distribution, noting their distribution characteristics, and to draw experience cumulative distribution function diagram.)