Analysis of a quasistatic contact problem with adhesion and nonlocal friction fo

排行榜 收藏 打印 发给朋友 举报 来源: 《Applied Mathematics and Mechanics》 发布者:cjk3d
热度11票 浏览14次 【共0条评论】【我要评论 时间:2010年11月20日 22:22
Analysis of a quasistatic contact problem with adhesion and nonlocal friction for viscoelastic materials

A mathematical model is established to describe a contact problem between a deformable body and a foundation. The contact is bilateral and modelled with a nonlocal friction law, in which adhesion is taken into account. Evolution of the bonding field is described by a first-order differential equation. The materials behavior is modelled with a nonlinear viscoelastic constitutive law. A variational formulation of the mechanical problem is derived, and the existence and uniqueness of the weak solution can be proven if the coefficient of friction is sufficiently small. The proof is based on arguments of time-dependent variational inequalities, differential equations, and the Banach fixed-point theorem.

+M6P2LHB@ U0
作 者: Arezki TOUZALINE  
作者单位:Laboratoire de Systèmes Dynamiques,Faculté de Mathématiques,Université des Sciences et de la Technologie Houari Boumediene,BP 32 EL ALIA,Bab-Ezzouar,16111,Algérie 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2010 31(5) 
分类号:O343.3 
关键词:viscoelastic materials   adhesion   nonlocal friction   fixed point   weak solution  
机标关键词:viscoelastic materialsnonlocal frictionadhesioncontact problemvariational inequalitiesexistence and uniquenesscoefficient of frictionmathematical modelweak solutionfriction lawconstitutiveBanachbased 
基金项目: 
下一篇:Quasi-Green's function method for free vibration of simply-supported trapezoidal
上一篇:Mechanical analysis of interaction between plant roots and rock and soil mass in
查看全部回复【已有0位网友发表了看法】

广告投放

广告投放