کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643118 1341368 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical analysis and simulations of a quasistatic frictional contact problem with damage in viscoelasticity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical analysis and simulations of a quasistatic frictional contact problem with damage in viscoelasticity
چکیده انگلیسی

We consider a quasistatic problem which models the bilateral contact between a viscoelastic body and a foundation, taking into account the damage and the friction. The damage which results from tension or compression is then involved in the constitutive law and it is modelled using a nonlinear parabolic inclusion. The variational problem is formulated as a coupled system of evolutionary equations for which we state the existence of a unique solution. Then, we introduce a fully discrete scheme using the finite element method to approximate the spatial variable and the Euler scheme to discretize the time derivatives. Error estimates are derived and, under suitable regularity hypotheses, the convergence of the numerical scheme obtained. Finally, a numerical algorithm and results are presented for some two-dimensional examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 192, Issue 1, 15 July 2006, Pages 30–39
نویسندگان
, , ,