کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837153 1470407 2015 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A dynamic viscoelastic contact problem with normal compliance, finite penetration and nonmonotone slip rate dependent friction
ترجمه فارسی عنوان
یک مشکل تماس پویایی تماس با تماس با تماس با تماس با نرمال، نفوذ محدود و اصطکاک وابسته به میزان لغزش غیر مونوتونی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی

We consider a mathematical model which describes the dynamic evolution of a viscoelastic body in frictional contact with an obstacle. The contact is modelled with normal compliance and unilateral constraint, associated to a rate slip-dependent version of Coulomb’s law of dry friction. In order to approximate the contact conditions, we consider a regularized problem wherein the contact is modelled by a standard normal compliance condition without finite penetrations. For each problem, we derive a variational formulation and an existence result of the weak solution of the regularized problem is obtained. Next, we prove the convergence of the weak solution of the regularized problem to the weak solution of the initial nonregularized problem. Then, we introduce a fully discrete approximation of the variational problem based on a finite element method and on a second order time integration scheme. The solution of the resulting nonsmooth and nonconvex frictional contact problems is presented, based on approximation by a sequence of nonsmooth convex programming problems. Finally, some numerical simulations are provided in order to illustrate both the behaviour of the solution related to the frictional contact conditions and the convergence result.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 22, April 2015, Pages 452–472
نویسندگان
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