Department of Mathematics, Kunming University Kunming, 650221 Yunnan, China; Department of Mathematics, Sichuan University Chengdu, 610064 Sichuan, China
In this paper, a mathematical model which describes the explicit time dependent quasistatic frictional contact problems is introduced and studied. The material behavior is described with a nonlinear viscoelastic constitutive law with time-delay and the frictional contact is modeled with nonlocal Coulomb boundary conditions. A variational formulation of the mathematical model is given, which is called a quasistatic integro-differential variational inequality. Using the Banach's fixed point theorem, an existence and uniqueness theorem of the solution for the quasistatic integro-differential variational inequality is proved under some suitable assumptions. As an application, an existence and uniqueness theorem of the solution for the dual variational formulation is also given.
Yao, S.- sheng, & Huang, N.- jing. (2014). A Class of Quasistatic Contact Problems for Viscoelastic Materials with Nonlocal Coulomb Friction and Time-Delay. Mathematical Modelling and Analysis, 19(4), 491-508. https://doi.org/10.3846/13926292.2014.956354
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