吉林大学学报(工学版)

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离散元与有限元耦合的时空多尺度计算方法

张锐1,唐志平2,郑航2   

  1. 1.吉林大学 地面机械仿生技术教育部重点实验室 长春 130022; 2.中国科学技术大学 中国科学院材料力学行为和设计重点实验室 合肥 230027
  • 收稿日期:2007-08-22 修回日期:1900-01-01 出版日期:2009-03-01 发布日期:2009-03-01
  • 通讯作者: 张锐

Time and space multiscale numerical method by coupling
discrete element method and finite element method

ZHANG Rui1, TANG Zhi-ping2, ZHENG Hang2   

  1. 1.Key Laboratory of Terrainmachine Bionics Engineering, Ministry of Education, Jilin University, Changchun 130022, China; 2.Key Laboratory for Mechanical Behavior and Design of Materials (LMBD) of CAS, University of Science and Technology of China, Hefei 230027, China
  • Received:2007-08-22 Revised:1900-01-01 Online:2009-03-01 Published:2009-03-01
  • Contact: ZHANG Rui

摘要: 采用力学与动力学参数传递以及权值分配法,建立了离散元与有限元耦合的时空多尺度计算方法。弹性应力波传播算例模拟结果表明,时空多尺度计算方法具有时间与空间多尺度双重优势,有效提高了数值计算效率,并且模拟结果满足精确性要求。同时,将这一多尺度计算方法应用于激光辐照下受拉铝板破坏行为的数值模拟中,得到的模拟结果与实验结果基本一致。

关键词: 计算数学, 时空多尺度, 离散元与有限元耦合, 数值计算

Abstract: Through mechanical and dynamic parameters transition and weight value distribution, a time and space multiscale numerical method by coupling Discrete Element Method (DEM) and Finite Element Method (FEM) was proposed. Simulation of an example of elastic stresswave propagation was carried out. The results show that the multiscale numerical method possesses the dual superiorities of multiscale time and multiscale space, which significantly improve the efficiency of simulation. It is shown that the simulation results by the method satisfy the requirement of accuracy. The method is also employed to simulate the damage behaviors of a tensile aluminum plate under laser irradiation, and the results are accordant with the experimental results.

Key words: numerical mathematics, multiscale time and space, coupling discrete element method and finite element method, numerical computation

中图分类号: 

  • O242.1
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