[1] Guo Xiaoming,. On existence and uniqueness of the solutionof elastoplastic contact problems [J]. Journal of Southeast University (English Edition), 2009, 25 (2): 232-235. [doi:10.3969/j.issn.1003-7985.2009.02.019]

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On existence and uniqueness of the solutionof elastoplastic contact problems()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

25

Issue:

2009 2

Page:

232-235

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2009-06-30

Info

Title:

On existence and uniqueness of the solutionof elastoplastic contact problems

Author(s):

Guo Xiaoming

School of Civil Engineering, Southeast University, Nanjing 210096, China

Keywords:

elastoplastic;  contact problem;  existence;  uniqueness;  coerciveness;  variational extremum form

PACS:

O343.3

DOI:

10.3969/j.issn.1003-7985.2009.02.019

Abstract:

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.

References:

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[8] Curnier A, Alart P.A generalized Newton method for contact problem with friction[J].Journal de Mecanique Theorique et Appliquee, 1988, 7(1)67-82.
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Memo

Memo:

Biography: Guo Xiaoming(1965—), male, doctor, professor, xmguo@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.10672039), the Key Project of Ministry of Education of China(No.105083).
Citation: Guo Xiaoming.On existence and uniqueness of the solution of elastoplastic contact problems[J].Journal of Southeast University(English Edition), 2009, 25(2):232-235.

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