On existence and uniqueness of the solution of elastoplastic contact problems

作     者：郭小明 Guo Xiaoming

作者机构：东南大学土木工程学院南京210096 

出 版 物：《Journal of Southeast University(English Edition)》 (东南大学学报（英文版）)

年 卷 期：2009年第25卷第2期

页      面：232-235页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：The National Natural Science Foundation of China(No.10672039) the Key Project of Ministry of Education of China(No.105083) 

主　　题：elastoplastic contact problem existence uniqueness coerciveness variational extremum form 

摘      要：Contact problems and elastoplastic problems are unified and described by the variational inequality formulation, in which the constraints of the constitutional relations for elastoplastic materials and the contact conditions are relaxed totally. First, the coerciveness of the functional is proved. Then the uniqueness of the solution of variational inequality for the elastoplastic contact problems is demonstrated. The existence of the solution is also demonstrated according to the sufficient conditions for the solution of the elliptic variational inequality. A mathematical foundation is developed for the variational extremum principle of elastoplastic contact problems. The developed variational extremum forms can give an effective and strict mathematical modeling to solve contact problems with mathematical programming.