کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837162 1470407 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
History-dependent variational–hemivariational inequalities in contact mechanics
ترجمه فارسی عنوان
اختلافات وابسته به تاریخ، نابرابری های تقلیدی در مکانیک تماس
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی

We consider an abstract class of variational–hemivariational inequalities which arise in the study of a large number of mathematical models of contact. The novelty consists in the structure of the inequalities which involve two history-dependent operators and two nondifferentiable functionals, a convex and a nonconvex one. For these inequalities we provide an existence and uniqueness result of the solution. The proof is based on arguments of surjectivity for pseudomonotone operators and fixed point. Then, we consider a viscoelastic problem in which the contact is frictionless and is modeled with a new boundary condition which describes both the instantaneous and the memory effects of the foundation. We prove that this problem leads to a history-dependent variational–hemivariational inequality in which the unknown is the displacement field. We apply our abstract result in order to prove the unique weak solvability of this viscoelastic contact problem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 22, April 2015, Pages 604–618
نویسندگان
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