History-dependent differential variational-hemivariational inequalities with applications to contact mechanics
Zhenhai Liu, Van Thien Nguyen, Jen-Chih Yao, Shengda Zeng
Abstract
The primary objective of this paper is to explore a complicated differential variational-hemivariational inequality involving a history-dependent operator in Banach spaces. A well-posedness result for the inequality, including the existence, uniqueness, and continuous dependence on the initial data of the solution is established by using a fixed point principle for history-dependent operators. Moreover, to illustrate the applicability of the theoretical results, an elastic contact problem with wear and long time dependent effort is explored.
Topics & Concepts
UniquenessBanach spaceMathematicsVariational inequalityOperator (biology)Mathematical analysisBanach fixed-point theoremFixed pointInequalityApplied mathematicsDifferential operatorFixed-point theoremRepressorGeneTranscription factorBiochemistryChemistryContact Mechanics and Variational InequalitiesMechanical stress and fatigue analysisBrake Systems and Friction Analysis