Element Free Galerkin Method in One Dimension

• Main Authors: Shieh Ming-Da, 謝明達
• Other Authors: Pan Chan-Ping
• Format: Others
• Language: zh-TW
• Published: 2001
• Online Access: http://ndltd.ncl.edu.tw/handle/71633200927507229078

碩士 === 國立臺灣科技大學 === 營建工程系 === 89 === The finite element method has been mature and complete up to now.But this method still has some problems not easy to solve. The large deformation problem, composite material problem and crack problem are example of it. Stress and displacements are not continuous over the element boundary. In recent years, a group of scholars tried to find other methods to solve the problems that finite element method can''''t solve, and also tried to get more exact solution. They broke the concept of the element and set points in a domain. Every point can be taken as an element and every point has its own influence range and shape. Choosing weighting function is important for this method. The influence range of every point can overlap each other. The MLSA was used to find the shape function and stiffness matrix. Finally the simulation function can be established. Since the element free method was developed about ten years, this paper emphasizes on getting the general formula in one dimension. A FORTRAN program for one dimensional problem was developed. This program can solve axial problems. The difference between the element free method and finite element method was discussed also.