| CONTACT PROBLEMS AND DUAL VARIATIONAL INEQUALITY OF 2－D ELASTOPLASTIC BEAM THEORY |
| |
| 引用本文： | 高扬.CONTACT PROBLEMS AND DUAL VARIATIONAL INEQUALITY OF 2－D ELASTOPLASTIC BEAM THEORY[J].应用数学和力学(英文版),1996,17(10):953-968. |
| |
| 作者姓名： | 高扬 |
| |
| 作者单位： | Department of Mathematics. Virginia Polytechnic Institute and State University，Blacksburg，VA24061，U. S. A. |
| |
| 摘 要： | ＣＯＮＴＡＣＴＰＲＯＢＬＥＭＳＡＮＤＤＵＡＬＶＡＲＩＡＴＩＯＮＡＬＩＮＥＱＵＡＬＩＴＹＯＦ２－ＤＥＬＡＳＴＯＰＬＡＳＴＩＣＢＥＡＭＴＨＥＯＲＹＤａｖｉｄＹａｎｇＧａｏ（高扬）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ．ＶｉｒｇｉｎｉａＰｏｌｙｔ...
|
| 收稿时间： | 21 February 1996 |
Contact problems and dual variational inequality of 2-D elastoplastic beam theory |
| |
| David Yang Gao.Contact problems and dual variational inequality of 2-D elastoplastic beam theory[J].Applied Mathematics and Mechanics(English Edition),1996,17(10):953-968. |
| |
| Authors: | David Yang Gao |
| |
| Institution: | (1) Department of Mathematics, Virginia Polytechnic Institute and State University, 24061 Blacksburg, VA, U. S. A. |
| |
| Abstract: | In Order to study the frictional contact problems of the elastoplastic beam theory,an extended two-dimensional beam model is established, and a second order nonlinear equilibrium problem with both internal and external complementarity conditions is proposed. The external complementarity condition provides the free boundary condition. while the internal complemententarity condition gives the interface of the elastic and plastic regions. We prove that this bicomplementarity problem is equivalent to a nonlinear variational inequality The dual variational inequality is also developed.It is shown that the dual variational inequality is much easier than the primalvariational problem. Application to limit analysis is illustrated. |
| |
| Keywords: | complementarity problems variational inequality duality theory elastoplastic beam contact problem |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
