A dynamic model with friction and adhesion with applications to rocks

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:247

Article

Dumont, Y ; Goeleven, D ; Rochdi, M ; Kuttler, KL ; Shillor, M

关键词: dynamic frictional contact;    rocks;    hemivariational inequality;    adhesion;    normal compliance;    viscoelastic body;   

DOI  :  10.1006/jmaa.2000.6828

来源: Elsevier

【 摘 要 】

Dynamic frictional contact with adhesion of a viscoelastic body and a foundation is formulated as a hemivariational inequality. This may model the dynamics of rock layers. The normal stress-displacement relation on the contact boundary is nonmonotone and nonconvex because of the adhesion process. A sequence of regularized problems is considered, the necessary a priori estimates are obtained, and the existence of a weak solution for the hemivariational inequality is established by passing to the limit as the regularization parameter vanishes. (C) 2000 Academic Press.

【 授权许可】

Free