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Analysis of an adhesive contact problem for viscoelastic materials with long memory

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成果类型:
期刊论文
作者:
Han, Jiangfeng*;Li, Yunxiang;Migorski, Stanislaw
通讯作者:
Han, Jiangfeng
作者机构:
[Han, Jiangfeng; Migorski, Stanislaw] Jagiellonian Univ, Inst Comp Sci, Fac Math & Comp Sci, PL-30348 Krakow, Poland.
[Li, Yunxiang] Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China.
[Han, Jiangfeng] Jagiellonian Univ, Inst Comp Sci, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland.
通讯机构:
[Han, Jiangfeng] J
Jagiellonian Univ, Inst Comp Sci, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland.
语种:
英文
关键词:
Variational-hemivariational inequality;Clarke subdifferential;Existence and uniqueness;Viscoelastic materials;Quasistatic;Fixed point theorem
期刊:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
年:
2015
卷:
427
期:
2
页码:
646-668
基金类别:
Marie Curie International Research Staff Exchange Scheme Fellowship within the 7th European Community Framework Programme [295118]; National Science Center of Poland under the Maestro Advanced Project [DEC-2012/06/A/ST1/00262]; Ministry of Science and Higher Education of Republic of PolandMinistry of Science and Higher Education, Poland [W111/7.PR/2012]
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
The goal of this paper is to study a mathematical model which describes the adhesive contact between a deformable body and a foundation. The body consists of a viscoelastic material with long memory and the process is assumed to be quasistatic. The adhesive contact condition on the normal plane is modeled by a version of normal compliance condition with unilateral constraint in which adhesion is taken into account, the adhesive contact condition on the tangential plane is described by an adhesive Clarke subdifferential condition, and the evolution of the bonding field is described by an ordina...

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