PROGRAM-PATTERN MULTIPOLE BOUNDARY ELEMENT METHOD FOR FRICTIONAL CONTACT  

作　　者：YuChunxiao ShenGuangxian LiuDeyi 

机构地区：[1]CollegeofScience,YanshanUniversity,Qinhuangdao066004,China [2]CollegeofMechanicalEngineering,YanshanUniversity,Qinhuangdao066004,China

出　　处：《Acta Mechanica Solida Sinica》2005年第1期76-82,共7页固体力学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.50075075).

摘　　要：A mathematical program is proposed for the highly nonlinear problem involving frictional contact. A program-pattern using the fast multipole boundary element method (FM- BEM) is given for 3-D elastic contact with friction to replace the Monte Carlo method. A new optimized generalized minimal residual (GMRES) algorithm is presented. Numerical examples demonstrate the validity of the program-pattern optimization model for node-to-surface contact with friction. The GMRES algorithm greatly improves the computational efciency.A mathematical program is proposed for the highly nonlinear problem involving frictional contact. A program-pattern using the fast multipole boundary element method (FM- BEM) is given for 3-D elastic contact with friction to replace the Monte Carlo method. A new optimized generalized minimal residual (GMRES) algorithm is presented. Numerical examples demonstrate the validity of the program-pattern optimization model for node-to-surface contact with friction. The GMRES algorithm greatly improves the computational efciency.

关 键 词：nonlinear programming GMRES algorithm node-to-surface contact FM-BEM 

分 类 号：O221.2[理学—运筹学与控制论]