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再生核质点法研究进展
引用本文:周进雄,李梅娥,张红艳,张陵.再生核质点法研究进展[J].力学进展,2002,32(4):535-544.
作者姓名:周进雄  李梅娥  张红艳  张陵
作者单位:1. 西安交通大学建筑工程与力学学院,西安,710049
2. 西安交通大学机械工程学院,西安,710049
基金项目:国家自然科学基金(10202018),教育部高等学校骨干教师计划资助项目
摘    要:概述了无网格再生核质点法的近似方案和本质边界条件的处理; 综述了再生核质点法在结构动力学、大变形分析、计算流体力学、断 裂及损伤力学、微机电结构分析中的应用;从工程应用和改进再生核 质点法的角度提出了未来的若干研究方向.

关 键 词:再生核质点法  无网格法  多分辩率分析  大变形  结构动力学  损伤  CFD
修稿时间:2001年1月4日

ADVANCES IN REPRODUCING KERNEL PARTICLE METHOD
Zhou Jinxiong Li Mei'e Zhang Hongyan Zhang LingSchool of Civil Engineering and Mechanics,Xi'an Jiaotong University,Xi'an ,China School of Mechanical Engineering,Xi'an Jiaotong University,Xi'an ,China.ADVANCES IN REPRODUCING KERNEL PARTICLE METHOD[J].Advances in Mechanics,2002,32(4):535-544.
Authors:Zhou Jinxiong Li Mei'e Zhang Hongyan Zhang LingSchool of Civil Engineering and Mechanics  Xi'an Jiaotong University  Xi'an  China School of Mechanical Engineering  Xi'an Jiaotong University  Xi'an  China
Institution:Zhou Jinxiong Li Mei'e Zhang Hongyan Zhang LingSchool of Civil Engineering and Mechanics,Xi'an Jiaotong University,Xi'an 710049,China School of Mechanical Engineering,Xi'an Jiaotong University,Xi'an 710049,China
Abstract:The reproducing kernel particle method (RKPM) , which utilizes the notions of the convolution theorem, multiresolution analysis and meshless properties, is reviewed. Emphasis is put on the reproducing kernel approximations and implementation of essential boundary conditions for RKPM. An overview of the current application areas of RKPM is given including structural dynamics, large deformation, hyperelasticity, computational fluid mechanics (CFD), damage problems and microelectromechanical systems analysis. Some future research areas, from the point of view of engineering application and futher development of RKPM, are pointed out. These promising research areas may include mould filling simulation, meshless modal analysis, treatment of essential boundary conditions, coupling to finite element method, enhancement of the emcency of RKPM and development of meshless environment.
Keywords:reproducing kernel particle method  meshless method  multiresolution analysis  large deformation  structural dynamics  damage  CFD
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