J2failure-model

求解声学问题的边界元源程序，可以为使用边界元法求解位势问题和弹性力学问题提供启发(problem solving acoustic BEM source, for the use of the boundary element method and the potential problems of elasticity to provide inspiration)

一维波动方程TVD格式源程序，空间二阶精度，附带计算结果及说明(One-dimensional wave equation TVD scheme source, space second-order accuracy, with results and instructions)

改进的冒泡排序的VC++源程序，希望大家能够从中受益！(improved Bubble Sort VC source, we hope to benefit from!)

crackprop_modeI_lefm_xfem_cpe4，ABAQUS基于线弹性断裂力学的扩展有限元法实例。(crackprop_modeI_lefm_xfem_cpe4 ABAQUS based on linear elastic fracture mechanics extended finite element method instance.)

说明：  abaqus fortran语言下的dload和vdload程序代码，以显示及隐式实现移动加载(Dload and vdload code in ABAQUS FORTRAN to display and implicitly implement mobile loading)

基于Levenberg-Marquardt的曲线/面拟合(C library for Levenberg-Marquardt least-squares minimization and curve fitting)

自己写了一个二维Euler方程的间断有限元程序 上次发了一个三角形单元的程序 因为不是曲边单元 所以在圆柱后面容易形成涡 现在把程序改为曲边四边形单元了 没有涡出现 单元是8节点四边形单元 节点编号顺序是 1 5 2 6 3 7 4 8 也就是四个角点依次 是1 2 3 4 然后是边的中点编号 5 6 7 8. 时间推进采用 Runge-Kutta 方法 数值通量采用全局Lax-Friedrichs通量 仍然不能捕捉激波 因为没有做重构或者加人工粘性 等这个做出来了 再发一次。 程序没有进行优化 比如说内存的消耗没有优化 比如直边单元的边界积分仍然采 用了曲边的积分方法 增加了计算量 比如面积分、线积分都是采用的是Gauss- Legendre-Lobatto积分 积分精度会比一般的Gauss-Legendre积分精度低一阶 等 等问题。 二维的 纯属交流性质 就没有考虑这些问题 ^_^ 如果物面全部是直边 那么只要改变一个参数N 就可以获得不同的计算精度 且具 有谱精度 因为单元的节点是Gauss-Legendre-Lobatto积分点。 其实就是谱元法 （物面是曲边的情况我不清楚是不是也可以通过提高基函数的阶数 也就是增加N 来提高计算精度）(Wrote a two-dimensional Euler equations with discontinuous finite element program Last made ​ ​ a triangular element of the program, not curved edge unit is so easy to form a vortex in the cylinder behind the Program to curved edge quadrilateral element vortices appear Unit is the order of 8-node quadrilateral element node number is 15,263,748 which is the four corners of the points in turn Is 1234 and then the side of the midpoint of the number 5678. Time promote the use of Runge-Kutta method Numerical flux of the overall situation of Lax-Friedrichs, flux Still can not capture the shock wave did not do the reconstruction or artificial viscosity do it Zaifayici. The program is not optimized for example, memory consumption is not optimized such as straight-edge boundary integral of the unit is still mining Integral method to increase the amount of computation such as surface integral with a curved edge, the line integral using the Gauss- The Legendr)

一个计算结构波浪力的程序，小直径桩柱结构，中等直径桩柱结构，多桩结构(A program for calculating the wave force of the structure, a small-diameter pile structure, a medium-diameter pile structure, a multi-pile structure)

说明：  非常详细的umat 雅可比矩阵更新算法的讲解(detailed describetion of the jacobian matrix in abaqus umat)

交错网格声波方程交错网格有限差分地震波场计算波场正演模拟。 (The CalCulation of the SeismiC Wave一 fieldwith Staggered-grid Finite difference Sheme )