期刊论文

Migorski, Stanislaw

英文

MATHEMATICS AND MECHANICS OF SOLIDS

1081-2865

2016

21

10

1167-1183

10.1177/1081286514558657

Marie Curie International Research Staff Exchange Scheme Fellowship within the seventh European Community Framework Programme [295118]; Science and Technology Department of Hunan Province [2011FJ3255]; Education Department of Hunan Province [12B024]; National Science Center of PolandNational Science Center, PolandNational Science Centre, Poland [N N201 604640]; International Project; Ministry of Science and Higher Education of the Republic of PolandMinistry of Science and Higher Education, Poland [W111/7.PR/2012]; National Science Center of Poland (Maestro Advanced Project) [DEC-2012/06/A/ST1/00262]

本校为第一机构

We consider a mathematical model which describes the frictional contact between a deformable body and a foundation. The process is assumed to be quasistatic and the material behaviour is described by a viscoelastic constitutive law with damage. The friction and contact are modeled with subdifferential boundary conditions. We derive the variational formulation of the problem which is a coupled system of a hemivariational inequality for the velocity and a parabolic variational inequality for the damage field. Then we prove the existence of a unique weak solution to the model. The proof is based ...