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A dynamic contact problem for elastic–viscoplastic materials with normal damped response and damage

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成果类型:
期刊论文
作者:
Li, Yunxiang*
通讯作者:
Li, Yunxiang
作者机构:
[Li, Yunxiang] Hunan City Univ, Dept Math, Yiyang, Peoples R China.
通讯机构:
[Li, Yunxiang] H
Hunan City Univ, Dept Math, Yiyang, Peoples R China.
语种:
英文
关键词:
damage;elastic–viscoplastic;frictional contact;Hemivariational inequality;weak solution
期刊:
Applicable Analysis
ISSN:
0003-6811
年:
2016
卷:
95
期:
11
页码:
2485-2500
基金类别:
Science and Technology Department of Hunan Province [2011FJ3255]; Education Department of Hunan Province [12B024]; European CommunityEuropean Commission [295118]; National Science Center of PolandNational Science Center, PolandNational Science Centre, Poland [DEC-2012/06/A/ST1/00262]
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
We consider a mathematical model which describes the frictional contact between a deformable body and a foundation. The process is assumed to be dynamic and the material behavior is described by a elastic–viscoplastic constitutive law with damage. The frictional contact is modeled with subdifferential boundary conditions. We derive the variational formulation of the problem which is a coupled system of a hemivariational inequality for the displacement and a parabolic variational inequality for the damage field. Then we prove the existence of a...

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