摘要
用无单元伽辽金法(EFGM)求解了弹塑性平面问题。EFGM采用移动最小二乘函数近似试函数,并用罚函数法施加本质(位移)边界条件,这是一种与单元划分无关的无网格方法。文中采用了Newton-Raphson增量迭代法进行计算。算例表明:EFGM在求解弹塑性问题时仍具有稳定性好,收敛快的优点。
In this paper, Element-Free Galerkin method is applied to solve elasto-plastic problems. It uses the moving least squares method to construct trial function and the essential boundary conditions are imposed by penalty function method. In this method, only nodal data are needed and there is no need to join nodes into elements.The modified Newton-Raphson iteration method is used in computation. Several examples are given to show that in solving elasto-plastic problems, the Element-Free Galerkin method still possesses some advantages such as good stability and high rate of convergence.
出处
《工程力学》
EI
CSCD
北大核心
2003年第2期66-70,共5页
Engineering Mechanics
关键词
固体力学
弹塑性问题
无单元伽辽金法
移动最小二乘法
solid mechanics
elasto-plastic problems
element-free Galerkin method
moving least squares
