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Multipole BEM for 3-D Elasto-Plastic Contact with Friction
作者姓名:刘德义  申光宪
作者单位:CollegeofMechanicalEngineering,YanshanUniversity,Qinhuangdao066004,China
基金项目:Supported by the National Natural Science Foundation of China(No. 50075075)
摘    要:The analysis of 3-D elasto-plastic contact with friction is a highly nonlinear problem. The elements in the contact and plastic zones should be refined to obtain accurate information about the real size,displacement, and traction in the contact zone. However, the increase in the number of degrees of freedom is limited when traditional boundary element method (BEM) is used with the larger memory size and long CPU time required for the solution procedure. This paper describes the additional mathematical friction model to the 3-D elastic multipole BEM to develop a 3-D elasto-plastic contact multipole BEM. Numerical tests show that with this new method, the needed computer memory size is only 2% of the traditional BEM model with friction, which erases large-scale computing with refined meshes and improves the computational accuracy.

关 键 词:工程问题  弹塑性接触  摩擦  边界元方法  多级残差算法  点面接触模型
收稿时间:10 August 2004
修稿时间:31 August 2004

Multipole BEM for 3-D Elasto-Plastic Contact with Friction
Deyi Liu, &#x;û,Guangxian Shen, &#x;&#x;ப.Multipole BEM for 3-D Elasto-Plastic Contact with Friction[J].Tsinghua Science and Technology,2005,10(1):57-60.
Authors:Deyi Liu  &#x;û  Guangxian Shen  &#x;&#x;ப
Institution:LIU Deyi SHEN GuangxianCollege of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China
Abstract:The analysis of 3-D elasto-plastic contact with friction is a highly nonlinear problem. The ele- ments in the contact and plastic zones should be refined to obtain accurate information about the real size, displacement, and traction in the contact zone. However, the increase in the number of degrees of freedom is limited when traditional boundary element method (BEM) is used with the larger memory size and long CPU time required for the solution procedure. This paper describes the additional mathematical friction model to the 3-D elastic multipole BEM to develop a 3-D elasto-plastic contact multipole BEM. Numerical tests show that with this new method, the needed computer memory size is only 2% of the traditional BEM model with friction, which erases large-scale computing with refined meshes and improves the computa- tional accuracy.
Keywords:elasto-plastic contact  boundary element method  multipole residual algorithm  point-to-surface model
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