东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2005, Vol. 26 ›› Issue (5): 463-466.DOI: -

• 论著 • 上一篇    下一篇

模拟平板轧制的新方法——无网格伽辽金法

崔青玲;李长生;刘相华;王国栋   

  1. 东北大学轧制技术及连轧自动化国家重点实验室;东北大学轧制技术及连轧自动化国家重点实验室;东北大学轧制技术及连轧自动化国家重点实验室;东北大学轧制技术及连轧自动化国家重点实验室 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2005-05-15 发布日期:2013-06-24
  • 通讯作者: Cui, Q.-L.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(50474016)

Element-free Galerkin method (EFGM): A new method to simulation of plate rolling

Cui, Qing-Ling (1); Li, Chang-Sheng (1); Liu, Xiang-Hua (1); Wang, Guo-Dong (1)   

  1. (1) State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2005-05-15 Published:2013-06-24
  • Contact: Cui, Q.-L.
  • About author:-
  • Supported by:
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摘要： 将一种新的数值方法无网格伽辽金法(EFGM)用于刚塑性可压缩材料稳态轧制过程的模拟,由于形函数不满足插值条件,采用罚函数法满足本质边界条件;为提高精度,选用矩形影响域的张量积核函数;利用有限元背景网格作为积分单元,对求解域内和边界上采用不同的高斯积分方案·数值计算结果与刚塑性有限元的计算结果和文献中的实验数据吻合较好,说明无网格伽辽金法用于刚塑性可压缩材料轧制过程的可行性和正确性·

关键词: EFGM, 刚塑性可压缩材料, 罚函数, 张量积核函数, 平面应变轧制

Abstract: Introduces the principle of the EFGM (Element-Free Galerkin Method) and its application to steady state rolling process of slightly compressible rigid-plastic materials. The penalty function algorithm is utilized to meet the requirements of essential boundary conditions because the shape function of EFGM fails to satisfy conditions. To improve the accuracy, the tensor product weight function which has rectangular influence domain is picked out. The background cell in FEM is taken as integral element, and different Gauss integration schemes are used for the interior of solution domain and its boundary. The validity and correctness of EFGM are verified by comparing the results of actual plate rolling with that calculated via Rigid-Plastic FEM and experimental data in earlier works.

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